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Journal articles on the topic 'Five Dimensional RS Model'

Author: Grafiati

Published: 7 September 2023

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1

Wulandari, Dewi, Triyanta, Jusak S. Kosasih, Douglas Singleton, and Preston Jones. "Localization of interacting fields in five-dimensional braneworld models." International Journal of Modern Physics A 32, no. 32 (November 20, 2017): 1750191. http://dx.doi.org/10.1142/s0217751x17501913.

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We study the localization properties of fundamental fields which are coupled to one another through the gauge mechanism both in the original Randall–Sundrum (RS) and in the modified Randall–Sundrum (MRS) braneworld models: scalar–vector, vector–vector, and spinor–vector configuration systems. For this purpose, we derive conditions of localization, namely, the finiteness of integrals over the extra coordinate in the action of the system considered. We also derive field equations for each of the systems and then obtain their solutions corresponding to the extra dimension by a separation of variable method for every field involved in each system. We then insert the obtained solutions into the conditions of localization to seek whether or not the solutions are in accordance with the conditions of localization. We obtain that not all of the configuration systems considered are localizable on the brane of the original RS model while, on the contrary, they are localizable on the MRS braneworld model with some restrictions. In terms of field localizability on the brane, this result shows that the MRS model is much better than the original RS model.

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2

de Anda, Francisco J. "Left–right model from gauge-Higgs unification with dark matter." Modern Physics Letters A 30, no. 12 (April 6, 2015): 1550063. http://dx.doi.org/10.1142/s0217732315500637.

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We propose a five-dimensional model based on the idea of Gauge-Higgs Unification (GHU) with the gauge group SO(5) × U(1) in Randall–Sundrum (RS) spacetime. We obtain a left–right (LR) symmetric model with a stable scalar identified as a dark matter candidate. This stable scalar obtains a vacuum expectation value (VEV) that gives mass to fermions in the bulk through the Hosotani Mechanism. There is a scalar localized on a brane and gives contributions to fermion masses. This scalar fits the observed Higgs boson data. We are able to fit all the Standard Model (SM) observables while evading constraints.

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Videla, Nelson, and Grigorios Panotopoulos. "Natural Inflation on the brane with a TeV-scale gravity: Parameter constraints after Planck 2015." International Journal of Modern Physics D 26, no. 07 (December 26, 2016): 1750066. http://dx.doi.org/10.1142/s0218271817500663.

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In the present work, we have studied Natural Inflation (NI) in the framework of the Randall–Sundrum II (RS-II) brane model in the light of the latest Planck results. Adopting the Randall–Sundrum fine-tuning, the model is characterized by three parameters in total, namely the five-dimensional (5D) Planck mass [Formula: see text] and the two mass scales of the inflaton potential [Formula: see text] and [Formula: see text]. We show in the [Formula: see text]–[Formula: see text] plane the theoretical predictions of the model together with the allowed contour plots, and we conclude that the model is viable. By using the Planck results only, it is possible to determine the two mass scales of the inflaton potential in terms of [Formula: see text], which remains undetermined. However, there are several good theoretical reasons to consider a higher-dimensional Planck mass of the order of [Formula: see text][Formula: see text]TeV, which is compatible with primordial nucleosynthesis. If we insist on considering a [Formula: see text] of this order of magnitude, all parameters are known and a sub-Planckian excursion of the inflaton scalar field is achieved.

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Malavasi, Marco, Vojtěch Barták, Tommaso Jucker, Alicia Teresa Rosario Acosta, Maria Laura Carranza, and Manuele Bazzichetto. "Strength in Numbers: Combining Multi-Source Remotely Sensed Data to Model Plant Invasions in Coastal Dune Ecosystems." Remote Sensing 11, no. 3 (January 30, 2019): 275. http://dx.doi.org/10.3390/rs11030275.

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A common feature of most theories of invasion ecology is that the extent and intensity of invasions is driven by a combination of drivers, which can be grouped into three main factors: propagule pressure (P), abiotic drivers (A) and biotic interactions (B). However, teasing apart the relative contribution of P, A and B on Invasive Alien Species (IAS) distributions is typically hampered by a lack of data. We focused on Mediterranean coastal dunes as a model system to test the ability of a combination of multi-source Remote Sensing (RS) data to characterize the distribution of five IAS. Using generalized linear models, we explored and ranked correlates of P, A and B derived from high-resolution optical imagery and three-dimensional (3D) topographic models obtained from LiDAR, along two coastal systems in Central Italy (Lazio and Molise Regions). Predictors from all three factors contributed significantly to explaining the presence of IAS, but their relative importance varied among the two Regions, supporting previous studies suggesting that invasion is a context-dependent process. The use of RS data allowed us to characterize the distribution of IAS across broad, regional scales and to identify coastal sectors that are most likely to be invaded in the future.

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DE LEON, J. PONCE. "VARIATION OF G, Λ(4) AND VACUUM ENERGY FROM BRANE-WORLD MODELS." Modern Physics Letters A 17, no. 37 (December 7, 2002): 2425–41. http://dx.doi.org/10.1142/s0217732302009143.

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In brane-world theory in five dimensions, the bulk metric is usually written in Gaussian coordinates, where g4μ = 0 and g44 = -1. However, the choice g44 = -1 is an external condition, not a requirement of the field equations. In this paper we study the consequences of having g44 = εΦ2, where ε = ±1 and Φ is a scalar function varying with time, [Formula: see text]. This varying field entails the possibility of variable fundamental physical "constants". These variations are different from those predicted in scalar–tensor and multidimensional theories. We solve the five-dimensional equations for a fixed brane and use the brane-world paradigm to determine the fundamental parameters in the theory, which are the vacuum energy σ, the gravitational coupling G and the cosmological term Λ(4). We present specific models where these physical quantities are variable functions of time. Different scenarios are possible but we discuss with some detail a model for which Ġ/G ~ H and Λ(4) ~ H2, which seems to be favored by observations. Our results are not in contradiction to previous ones in the literature. In particular, to those where the brane is described as a domain wall moving in a static Sch–AdS bulk. Indeed these latter models in RS scenarios describe the same space–time as other solutions (with fixed brane) in Gaussian coordinates with [Formula: see text]. We conclude that the introduction of a time-varying Φ in brane-world theory yields a number of models that show variation in the fundamental physical "constants" and exhibit reasonable physical properties.

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Zhou, Zeyu, Wei Tang, Mingyang Li, Wen Cao, and Zhijie Yuan. "A Novel Hybrid Intelligent SOPDEL Model with Comprehensive Data Preprocessing for Long-Time-Series Climate Prediction." Remote Sensing 15, no. 7 (April 6, 2023): 1951. http://dx.doi.org/10.3390/rs15071951.

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Long-time-series climate prediction is of great significance for mitigating disasters; promoting ecological civilization; identifying climate change patterns and preventing floods, drought and typhoons. However, the general public often struggles with the complexity and extensive temporal range of meteorological data when attempting to accurately forecast climate extremes. Sequence disorder, weak robustness, low characteristics and weak interpretability are four prevalent shortcomings in predicting long-time-series data. In order to resolve these deficiencies, our study gives a novel hybrid spatiotemporal model which offers comprehensive data preprocessing techniques, focusing on data decomposition, feature extraction and dimensionality upgrading. This model provides a feasible solution to the puzzling problem of long-term climate prediction. Firstly, we put forward a Period Division Region Segmentation Property Extraction (PD-RS-PE) approach, which divides the data into a stationary series (SS) for an Extreme Learning Machine (ELM) prediction and an oscillatory series (OS) for a Long Short-term Memory (LSTM) prediction to accommodate the changing trend of data sequences. Secondly, a new type of input-output mapping mode in a three-dimensional matrix was constructed to enhance the robustness of the prediction. Thirdly, we implemented a multi-layer technique to extract features of high-speed input data based on a Deep Belief Network (DBN) and Particle Swarm Optimization (PSO) for parameter searching of a neural network, thereby enhancing the overall system’s learning ability. Consequently, by integrating all the above innovative technologies, a novel hybrid SS-OS-PSO-DBN-ELM-LSTME (SOPDEL) model with comprehensive data preprocessing was established to improve the quality of long-time-series forecasting. Five models featuring partial enhancements are discussed in this paper and three state-of-the-art classical models were utilized for comparative experiments. The results demonstrated that the majority of evaluation indices exhibit a significant optimization in the proposed model. Additionally, a relevant evaluation system showed that the quality of “Excellent Prediction” and “Good Prediction” exceeds 90%, and no data with “Bad Prediction” appear, so the accuracy of the prediction process is obviously insured.

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Tawadros, Peter, Mohamed Awadallah, Paul Walker, and Nong Zhang. "Using a low-cost bluetooth torque sensor for vehicle jerk and transient torque measurement." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 234, no. 2-3 (July 9, 2019): 423–37. http://dx.doi.org/10.1177/0954407019861613.

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This paper presents the use and development of a specific wireless torque measurement system that is used to obtain the transient torque performance of vehicle transmissions. The torque sensor is strain-based, using surface-mounted strain gauges on a prop shaft. The gauges are connected to a compact printed circuit board, which is clamped to the shaft next to the strain gauges using a three-dimensional printed housing. The printed circuit board contains an amplifier, low-pass filter, analog-to-digital converter, microcontroller and bluetooth transceiver. The printed housing is impact resistant carbon-reinforced nylon and securely retains the printed circuit board and the battery powering the device. The transmitted torque data are received by a transceiver, which is interfaced to a PC through an RS-232 connection. NI LabVIEW is used to process, display and save data. The wireless torque sensor was installed to the Unit Under Test at the output shaft of the five-speed manual transmission. The Unit Under Test was installed on a dynamometer for verification purposes and the transient torque was recorded under various operational conditions. The transient output torque of the manual transmission is measured and compared with results obtained from simulations performed under similar operating conditions. The two sets of transient responses show a good correlation with each other and hence demonstrate that the torque sensor meets the major design specifications. The data obtained will be used to enhance the fidelity of the software model.

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Li, Genyuan, Herschel Rabitz, Jishan Hu, Zheng Chen, and Yiguang Ju. "Regularized random-sampling high dimensional model representation (RS-HDMR)." Journal of Mathematical Chemistry 43, no. 3 (September 1, 2007): 1207–32. http://dx.doi.org/10.1007/s10910-007-9250-x.

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9

Ishihara, H., A. Tomimatsu, and M. Den. "Pyrgon Annihilation in Five-Dimensional Model Universe." Progress of Theoretical Physics 74, no. 5 (November 1, 1985): 1045–52. http://dx.doi.org/10.1143/ptp.74.1045.

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10

Mowlana, Hamid. "Human communication theory: a five-dimensional model." Journal of International Communication 25, no. 1 (January 2, 2019): 3–33. http://dx.doi.org/10.1080/13216597.2018.1560351.

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11

Blöte, H. W. J., and E. Luijten. "Universality and the five-dimensional Ising model." Europhysics Letters (EPL) 38, no. 8 (June 10, 1997): 565–70. http://dx.doi.org/10.1209/epl/i1997-00284-x.

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Yan, Junxia, Xue Zhang, Ju Liu, Hongjian Li, and Guangwei Ding. "MODIS-Derived Estimation of Soil Respiration within Five Cold Temperate Coniferous Forest Sites in the Eastern Loess Plateau, China." Forests 11, no. 2 (January 22, 2020): 131. http://dx.doi.org/10.3390/f11020131.

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Soil respiration (Rs) is seldom analyzed using remotely sensed data because satellite technology has difficulty monitoring various respiratory processes in the soil. We investigated the potential of remote sensing data products to estimate Rs, including land surface temperature (LST) and spectral vegetation indices from the Moderate Resolution Imaging Spectroradiometer (MODIS), using a nine-year (2007–2015) field measurement dataset of Rs and soil temperature (Ts) at five forest sites at the eastern Loess Plateau, China. The results indicate that soil temperature is the primary factor influencing the seasonal variation of Rs at the five sites. The accuracy of the model based on the observed data is not significantly different from the model based on MODIS-derived nighttime LST values. There was a significant difference with the model based on MODIS-derived daytime LST values. Therefore, nighttime LST was the optimum LST for estimation of Rs. The normalized difference vegetation index (NDVI) consistently exhibited a stronger correlation with Rs when compared to the green edge chlorophyll index and enhanced vegetation index. Further analysis showed that adding the NDVI into the model considering only Ts or nighttime LST could significantly improve the simulation accuracy of Rs. The models depending on nighttime LST and NDVI showed comparable accuracy with the models based on the in situ Ts and NDVI. These results suggest that models based entirely on remote sensing data from MODIS have the potential to estimate Rs at the cold temperate coniferous forest sites. The performance of the model in other vegetation types or regions has also been proved. Our conclusions further confirmed that it is feasible for large-scale estimates of Rs by means of MODIS data in temperate coniferous forest ecosystems.

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13

Li, Genyuan, Maxim Artamonov, Herschel Rabitz, Sheng-wei Wang, Panos G. Georgopoulos, and Metin Demiralp. "High-dimensional model representations generated from low order terms?lp-RS-HDMR." Journal of Computational Chemistry 24, no. 5 (March 6, 2003): 647–56. http://dx.doi.org/10.1002/jcc.10232.

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14

Shen, Bo-Wen. "Nonlinear Feedback in a Five-Dimensional Lorenz Model." Journal of the Atmospheric Sciences 71, no. 5 (April 28, 2014): 1701–23. http://dx.doi.org/10.1175/jas-d-13-0223.1.

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Abstract In this study, based on the number of modes, the original three-dimensional Lorenz model (3DLM) is generalized with two additional modes [five-dimensional Lorenz model (5DLM)] to examine their role in the predictability of the numerical solutions and to understand the underlying processes that increase the solution stability. As a result of the simplicity of the 5DLM with respect to existing generalized Lorenz models (LMs), the author is able to obtain the analytical solutions of its critical points and identify the role of the major nonlinear term in the solution’s stability, which have previously not been documented in the literature. The nonlinear Jacobian terms of the governing equations are analyzed to highlight the importance of selecting new modes for extending the nonlinear feedback loop of the 3DLM and thus effectively increasing the degree of nonlinearity (i.e., the nonlinear mode–mode interactions) in the 5DLM. It is then shown that numerical solutions in the 5DLM require a larger normalized Rayleigh number r for the onset of chaos and are more predictable than those in the 3DLM when r is between 25 and 40 and the Prandtl number σ is 10. The improved predictability is attributable to the negative nonlinear feedback enabled by the new modes. The role of the (negative) nonlinear feedback is further verified using a revised 3DLM with a parameterized nonlinear eddy dissipative term. The finding of the increased stability in the 5DLM and revised 3DLM with respect to the 3DLM is confirmed with the linear stability analysis and the analysis of the Lyapunov exponents using different values of r and σ. To further understand the impact of an additional heating term, results from the 5DLM and a higher-dimensional LM [e.g., the six-dimensional LM (6DLM)] are analyzed and compared.

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15

Chakraborty, Subenoy, and Gopal Ch Nandy. "Viscous fluid in a five-dimensional cosmological model." Astrophysical Journal 401 (December 1992): 437. http://dx.doi.org/10.1086/172075.

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Watson, David, Ericka Nus, and Kevin D. Wu. "Development and Validation of the Faceted Inventory of the Five-Factor Model (FI-FFM)." Assessment 26, no. 1 (June 5, 2017): 17–44. http://dx.doi.org/10.1177/1073191117711022.

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The Faceted Inventory of the Five-Factor Model (FI-FFM) is a comprehensive hierarchical measure of personality. The FI-FFM was created across five phases of scale development. It includes five facets apiece for neuroticism, extraversion, and conscientiousness; four facets within agreeableness; and three facets for openness. We present reliability and validity data obtained from three samples. The FI-FFM scales are internally consistent and highly stable over 2 weeks (retest rs ranged from .64 to .82, median r = .77). They show strong convergent and discriminant validity vis-à-vis the NEO, the Big Five Inventory, and the Personality Inventory for DSM-5. Moreover, self-ratings on the scales show moderate to strong agreement with corresponding ratings made by informants ( rs ranged from .26 to .66, median r = .42). Finally, in joint analyses with the NEO Personality Inventory–3, the FI-FFM neuroticism facet scales display significant incremental validity in predicting indicators of internalizing psychopathology.

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17

Zhao, Xiaoning, Daqing Wang, Haoli Xu, Yue Shi, Zhengdong Deng, Zhibin Ding, Zhixin Liu, et al. "Water deep mapping from HJ-1B satellite data by a deep network model in the sea area of Pearl River Estuary, China." Open Geosciences 13, no. 1 (January 1, 2021): 782–95. http://dx.doi.org/10.1515/geo-2020-0267.

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Abstract Remote sensing (RS) water depth inversion is an important technology and the method of water depth measurement. Taking the waters around the islands outside the Pearl River Estuary as an example, five optical RS depth inversion algorithms were introduced. Then, five water depth inversion models were trained through the HJ-1B satellite RS image and the measured water depth data. The results show that the mean absolute error (MAE) of the deep learning model was the smallest (2.350 m), and that the distribution of predicted water depth points was closest to the actual value. Deep learning has been widely used in RS image classification and recognition and shows its advantages. Therefore, the deep learning model was applied to extract the depth of the shallow water. Meanwhile, the obtained inversion effect map is closest to the actual contour map. The water depth inversion performance of back propagation neural network model is better than that of the radial basis function (RBF) neural network model. Besides, the inversion accuracy of the RBF neural network may be affected due to the small amount of data and the improper number of hidden neurons. The results show broad application prospects of machine learning algorithms in RS water depth inversion. Also, this study provided data support for model optimization, training, and parameter setting.

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Hosseini, Mahshid, Nikolay Frick, Damien Guilbaud, Ming Gao, and Thomas H. LaBean. "Resistive switching of two-dimensional Ag₂S nanowire networks for neuromorphic applications." Journal of Vacuum Science & Technology B 40, no. 4 (July 2022): 043201. http://dx.doi.org/10.1116/6.0001867.

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Randomly assembled networks of nanowires (NWs) can display complex memristive behaviors and are promising candidates for use as memory and computing elements in neuromorphic applications due to device fault tolerance and ease of fabrication. This study investigated resistive switching (RS) in two-dimensional, self-assembled silver sulfide (Ag2S) NW networks first experimentally and then theoretically using a previously reported stochastic RS model. The simulated switching behavior in these networks showed good correlation with experimental results. We also demonstrated fault-tolerance of a small NW network that retained RS property despite being severely damaged. Finally, we investigated information entropy in NW networks and showed unusual dynamics during switching as a result of self-organization of the memristive elements. The results of this work provide insights toward physical implementation of randomly assembled RS NW networks for reservoir and neuromorphic computing research.

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Abdou, Yara, Jessica Jerez, Andrew Baird, Jillian Dolan, Seongwon Lee, Shinyoung Park, and Sunyoung S. Lee. "Prognostication model based on genomic expression in the tumor microenvironment of ER-positive, HER2-negative stage III breast cancer via machine learning." Journal of Clinical Oncology 38, no. 5_suppl (February 10, 2020): 3. http://dx.doi.org/10.1200/jco.2020.38.5_suppl.3.

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3 Background: Stroma in the tumor microenvironment (TME) is known to impact prognosis and responses to therapy. Few mathematical models exist to prognosticate patients, based on mRNA expressivity in the TME. Methods: Clinical outcomes data and mRNA-seq of 98 patients with stage III estrogen receptor (ER) positive (+) and HER2 negative (-) breast cancer were obtained from TCGA. Twenty six gene groups composed of 191 genes (refer to presentation) enriched in cellular and non-cellular elements of TME, mutational burden (MB), and clinical data were analyzed by Kaplan-Meier (KM) analysis and multivariate nonlinear regression assisted by machine learning to achieve confined optimization with model-data minimization among multiple distribution functions. Results: Prognostication was modeled with higher risk score (RS) representing worse prognosis in stage 3 ER+HER2- breast cancer. Fifteen genes (CD8A, CD8B, FCRL3, GZMK, CD3E, CCL5, TP53, ICAM3, CD247, IFNG, IFNGR1, ICAM4, SHH, HLA-DOB, CXCR3) and five genes (LOXL2, PHEX, ACTA2, MEGF9, TNFSF4) out of 191 genes associated with good and poor prognosis were identified. Genomic expression of the fifteen and five gene groups were labeled as G and P, respectively. RS = 9.3185 – 0.3250 × (Age at diagnosis0.0001) – 8.2979 × (P/G−0.0051). Based on RS, patients were clustered into two groups; high and low RS groups, showing two KM curves with P = 0.05, HR = 2.878 (95% CI 1.903 – 3.471), confirming the validity of RS modeling. Analysis of immune profiles in high and low RS groups shows that expression of genes associated with desmoplastic reaction, neutrophils, and immunosuppressive cytokines are higher in high RS groups; and those related to immune system activation are higher in low RS groups (p < 0.05). Conclusions: Machine learning-assisted mathematical modeling of RS and gene analysis identified TME-related genes and gene groups that are strongly associated with worse prognosis in stage 3 ER+HER2- breast cancer. RS could potentially prognosticate patients in the clinic with available genomic profiles.

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Huang, Xiaohui, Jiabao Li, Jining Yan, and Lizhe Wang. "An adaptive geographic meshing and coding method for remote sensing data." IOP Conference Series: Earth and Environmental Science 1004, no. 1 (March 1, 2022): 012006. http://dx.doi.org/10.1088/1755-1315/1004/1/012006.

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Abstract Spatial indexing techniques, inherently data structures, are generally used in portals opened by institutions or organizations to efficiently filter RS images according to their spatial extent, thus providing researchers with fast Remote Sensing (RS) image data discovery ability. Specifically, space-based spatial indexing approaches are widely adopted to index RS images in distributed environments by mapping RS images in two-dimensional space into several one-dimensional spatial codes. However, current spatial indexing approaches still suffer from the boundary objects problem, which leads to multiple spatial codes for a boundary-crossing RS image and thus alleviates the performance of spatial indexes built on top of these spatial codes. To solve this problem, we propose an adaptive geographic meshing and coding method (AGMD) by combining the famous subdivision model GeoSOT and XZ-ordering to generate only one spatial code for RS images with different spatial widths. Then, we implement our proposed method with a unified big data programming model, (i.e., Apache Beam), to enable its execution in various distributed computing engines (e.g., MapReduce, and Apache Spark, etc.) in distributed environments. Finally, we conduct a series of experiments on real datasets, the archived Landsat metadata collection in level 2. The results show that the proposed AGMD method performs well on metrics, including the following aspects: the effectiveness of the storage overhead and the time cost are up to 359.7% and 58.02 %, respectively.

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Li, Jianguang, Wen Li, Cong Jin, Lijuan Yang, and Hui He. "One View Per City for Buildings Segmentation in Remote-Sensing Images via Fully Convolutional Networks: A Proof-of-Concept Study." Sensors 20, no. 1 (December 24, 2019): 141. http://dx.doi.org/10.3390/s20010141.

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The segmentation of buildings in remote-sensing (RS) images plays an important role in monitoring landscape changes. Quantification of these changes can be used to balance economic and environmental benefits and most importantly, to support the sustainable urban development. Deep learning has been upgrading the techniques for RS image analysis. However, it requires a large-scale data set for hyper-parameter optimization. To address this issue, the concept of “one view per city” is proposed and it explores the use of one RS image for parameter settings with the purpose of handling the rest images of the same city by the trained model. The proposal of this concept comes from the observation that buildings of a same city in single-source RS images demonstrate similar intensity distributions. To verify the feasibility, a proof-of-concept study is conducted and five fully convolutional networks are evaluated on five cities in the Inria Aerial Image Labeling database. Experimental results suggest that the concept can be explored to decrease the number of images for model training and it enables us to achieve competitive performance in buildings segmentation with decreased time consumption. Based on model optimization and universal image representation, it is full of potential to improve the segmentation performance, to enhance the generalization capacity, and to extend the application of the concept in RS image analysis.

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AFONIN, S. S. "A FIVE-DIMENSIONAL TOY MODEL FOR LIGHT HADRON EXCITATIONS." International Journal of Modern Physics A 25, no. 20 (August 10, 2010): 3933–40. http://dx.doi.org/10.1142/s0217751x10050196.

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In the usual holographic approach to QCD, the meson spectrum is generated due to a nontrivial five-dimensional background. We propose an alternative five-dimensional scenario in which the spectrum emerges due to coupling to a scalar field whose condensation is supposed to be dual to the formation of gluon condensate and mimics the scale anomaly in QCD. The spectrum of model has finite number of discrete states plus continuum and reveals a Regge-like behavior in the strong coupling regime.

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Nakaya, M. "Latent structures underlying schizophrenic symptoms: a five-dimensional model." Schizophrenia Research 39, no. 1 (August 23, 1999): 39–50. http://dx.doi.org/10.1016/s0920-9964(99)00018-3.

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Baysal, H., and I. Yilmaz. "Five-Dimensional Cosmological Model with Variable G and Λ." Chinese Physics Letters 24, no. 8 (July 26, 2007): 2185–88. http://dx.doi.org/10.1088/0256-307x/24/8/009.

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25

Krechet, V. G. "Five-dimensional geometric model of gravitational and electroweak interactions." Russian Physics Journal 56, no. 2 (June 28, 2013): 133–43. http://dx.doi.org/10.1007/s11182-013-0009-5.

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Hirsch, R., and P. Freche. "Monte Carlo renormalisation of the five-dimensional Ising model." Journal of Physics A: Mathematical and General 18, no. 12 (August 21, 1985): 2409–10. http://dx.doi.org/10.1088/0305-4470/18/12/038.

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Mbelek, J. P. "A five-dimensional model of varying fine structure constant." Pramana 62, no. 3 (March 2004): 741–43. http://dx.doi.org/10.1007/bf02705360.

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Johnson, John A., and Fritz Ostendorf. "Clarification of the five-factor model with the Abridged Big Five Dimensional Circumplex." Journal of Personality and Social Psychology 65, no. 3 (September 1993): 563–76. http://dx.doi.org/10.1037/0022-3514.65.3.563.

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CHANG, BAORONG, HONGYA LIU, LIXIN XU, and CHENGWU ZHANG. "STATEFINDER PARAMETERS FOR FIVE-DIMENSIONAL COSMOLOGY." Modern Physics Letters A 23, no. 04 (February 10, 2008): 269–79. http://dx.doi.org/10.1142/s0217732308023694.

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We study the statefinder parameter in the five-dimensional big bounce model, and apply it to differentiate the attractor solutions of quintessence and phantom field. It is found that the evolving trajectories of these two attractor solutions in the statefinder parameters plane are quite different, and that are different from the statefinder trajectories of other dark energy models.

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SHINKAI, HISA-AKI, and YUTA YAMADA. "NUMERICAL INVESTIGATION OF FIVE-DIMENSIONAL GRAVITATIONAL COLLAPSES." International Journal of Modern Physics: Conference Series 07 (January 2012): 148–57. http://dx.doi.org/10.1142/s2010194512004217.

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We introduce our numerical studies of gravitational collapses in five-dimensional (5D) space-time, with a purpose of studying the cosmic censorship hypothesis and the hoop conjecture. The first model is the collapse of spindle matter which was performed by Shapiro and Teukolsky (1991) who announced an appearance of a naked singularity in 4D. Comparing with 4D cases, we found that 5D collapses proceed more rapidly, the final configurations tend to be spherical, and apparent horizon (AH) forms in wider parameter ranges. We also observed positive evidence for formation of a naked singularity in highly spindle cases as well. The second model is the formation of black-ring in 5D. Our code does not include angular momentum, but the model would be helpful for basic understandings. We constructed an initial data sequence with ring-shaped matter, and observed the topology of AHs, if formed. We found a critical ring radius for ring-shaped AH, and it suggests a dynamical transition of AH topology from ring-shaped to spherical. We demonstrate such an example in time evolution.

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GOGBERASHVILI, MERAB. "HIERARCHY PROBLEM IN THE SHELL-UNIVERSE MODEL." International Journal of Modern Physics D 11, no. 10 (December 2002): 1635–38. http://dx.doi.org/10.1142/s0218271802002992.

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In the model where the Universe is considered as a thin shell expanding in five-dimensional hyper-space there is a possibility to obtain one scale for particle theory corresponding to the five-dimensional cosmological constant and Universe thickness.

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32

YU, ZHI-MING, QING-WEI WANG, and YU-LIANG LIU. "THE ELECTRONIC CORRELATION EFFECT FROM WEAK TO STRONG IN THE THREE DIMENSIONAL ELECTRON GAS." International Journal of Modern Physics B 26, no. 11 (April 30, 2012): 1250065. http://dx.doi.org/10.1142/s0217979212500658.

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Based on the success of the eigenfunctional theory ( EFT) in the one-dimensional model,16,24,51 we apply it to the three-dimensional homogeneous electron gas. By EFT, we first present a rigorous expression of the pair distribution function g(r) of the electron gas. This expression effectively solves the negative problem of g(r) that when electronic correlation effect is strong, the previous theories give a negative g(r),9 while g(r) is strictly a positive function. From this reasonable g(r), we estimate and establish a newly effective fitting expression of the ground state energy of electron gas. The new fitting expression presents a similar result with present theories when rs is small, since only in the limit of rs is small, present theories estimate a exact ground state energy. When rs increases, the difference between EFT and other theories becomes more and more remarkable. The difference is expected as EFT estimates a reasonable g(r) and would effectively amend the overestimate of previous theories in the ground state energy. In addition, by the ground state energy, we estimate the phase transition derived by the strong correlation effect. When the density decreases, the electronic correlation effect changes from weak to strong and we observe a sudden phase transition from paramagnetic to full spin polarization occurring at rs = 31 ± 4.

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33

Basri, H., L. M. Sidek, D. S. Shih, H. C. Lloyd, W. H. Azad, and A. Z. Abdul Razad. "One Dimensional Shallow Water Equation Streamflow Modeling using WASH123D Model." International Journal of Engineering & Technology 7, no. 4.35 (November 30, 2018): 880. http://dx.doi.org/10.14419/ijet.v7i4.35.26274.

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Reservoir inflow forecasting assists dam operator in reservoir operation by providing advance information on lake level. This paper discusses on the application of the physical-based numerical model to simulate one-dimensional channel network using WASH123D Model. The model was developed to simulate streamflow at two locations namely Sg Kejar and Sg Tiang, located in the Temengor catchment. The WASH123D model performed channel routing using shallow water equation. The model input data includes rainfall from 5 rainfall stations, river cross sections and simulated runoff data using SCS Method. Due to unavailable observed data, results comparisons were performed using streamflow results obtained using InfoWorks RS Platform. The peak flow from simulation results at Sg Kejar & Sg Tiang Station is 152.6m3/s and 36.6m3/s. The analysis shows good agreement for both simulations with Nash-Sutcliffe Efficiency of 0.68 for Sg Kejar and 0.99 for Sg Tiang. It is suggested that model recalibration shall be made once there is enough water level data to enable more accurate representation of spatial heterogeneity in the catchment processes.

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Zhang, Dongpei, and Dong Deng. "Dynamical transition and chaos for a five‐dimensional Lorenz model." Mathematical Methods in the Applied Sciences 45, no. 3 (November 3, 2021): 1612–31. http://dx.doi.org/10.1002/mma.7877.

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35

Yamamoto, A., S. Weber, and A. P. Tsai. "Five-dimensional superstructure model of decagonal Al–Ni–Co quasicrystals." Acta Crystallographica Section A Foundations of Crystallography 52, a1 (August 8, 1996): C380. http://dx.doi.org/10.1107/s0108767396084371.

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XU, LIXIN, and HONGYA LIU. "SCALING DARK ENERGY IN A FIVE-DIMENSIONAL BOUNCING COSMOLOGICAL MODEL." International Journal of Modern Physics D 14, no. 11 (November 2005): 1947–57. http://dx.doi.org/10.1142/s0218271805007334.

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We consider a five-dimensional Ricci flat bouncing cosmological model in which the four-dimensional induced matter contains two components at late times — the cold dark matter (CDM) + baryons and dark energy. We find that the arbitrary function f(z) contained in the solution plays a similar role as the potential V(ϕ) in quintessence and phantom dark energy models. To resolve the coincidence problem, it is generally believed that there is a scaling stage in the evolution of the universe. We analyze the condition for this stage and show that a hyperbolic form of the function f(z) can work well in this property. We find that during the scaling stage (before z ≈ 2), the dark energy behaves like (but not identical to) a cold dark matter with an adiabatic sound speed [Formula: see text] and px ≈ 0. After z ≈ 2, the pressure of the dark energy becomes negative. The transition from deceleration to acceleration happens at zT ≈ 0.8 which, as well as other predictions of the 5D model, agrees with current observations.

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37

Gao, Shujing, Yanfei Dai, and Dehui Xie. "On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period." Discrete Dynamics in Nature and Society 2016 (2016): 1–15. http://dx.doi.org/10.1155/2016/8707258.

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A five-dimensional nonautonomous schistosomiasis model which include latent period is proposed and studied. By constructing several auxiliary functions and using some skills, we obtain some sufficient conditions for the extinction and permanence (uniform persistence) of infectious population of the model. New threshold values of integral form are obtained. For the corresponding autonomous schistosomiasis model, our results are consistent with the past results. For the periodic and almost periodic cases, some corollaries for the extinction and permanence of the disease are established. In order to illustrate our theoretical analysis, some numerical simulations are presented.

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38

Yamamoto, Akiji, and Steffen Weber. "Five-Dimensional Superstructure Model of Decagonal Al-Ni-Co Quasicrystals." Physical Review Letters 78, no. 23 (June 9, 1997): 4430–33. http://dx.doi.org/10.1103/physrevlett.78.4430.

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39

Yamamoto, A. "A five-dimensional model of decagonal Al-Pd-Mn quasicrystals." Acta Crystallographica Section A Foundations of Crystallography 49, s1 (August 21, 1993): c337. http://dx.doi.org/10.1107/s0108767378090650.

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McReynolds, Sean. "Options for orbifold-GUT model building from five-dimensional supergravity." Nuclear Physics B 726, no. 1-2 (October 2005): 336–62. http://dx.doi.org/10.1016/j.nuclphysb.2005.08.008.

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41

Mohanty, G., and K. L. Mahanta. "Five-dimensional axially symmetric string cosmological model in Lyra manifold." Astrophysics and Space Science 312, no. 3-4 (October 31, 2007): 301–4. http://dx.doi.org/10.1007/s10509-007-9691-5.

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42

Brankov, J. G., and M. Schreckenberg. "A five-vertex model interpretation of one-dimensional traffic flow." Journal of Physics A: Mathematical and General 31, no. 9 (March 6, 1998): 2133–40. http://dx.doi.org/10.1088/0305-4470/31/9/005.

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Merdan, Z., N. Aras, and C. Kürkçü. "The Finite-Size Scaling Study of Five-Dimensional Ising Model." Acta Physica Polonica A 129, no. 6 (June 2016): 1100–1104. http://dx.doi.org/10.12693/aphyspola.129.1100.

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Li-Xin, Xu, Liu Hong-Ya, and Wang Bei-Li. "Big Bounce Singularity of a Simple Five-Dimensional Cosmological Model." Chinese Physics Letters 20, no. 7 (June 17, 2003): 995–98. http://dx.doi.org/10.1088/0256-307x/20/7/307.

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45

Reddy, D. R. K., and G. V. Vijaya Lakshmi. "Five dimensional radiating model in Brans-Dicke theory of gravitation." Astrophysics and Space Science 354, no. 2 (September 9, 2014): 633–36. http://dx.doi.org/10.1007/s10509-014-2112-7.

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46

GOGBERASHVILI, MERAB. "FOUR DIMENSIONALITY IN NON-COMPACT KALUZA–KLEIN MODEL." Modern Physics Letters A 14, no. 29 (September 21, 1999): 2025–31. http://dx.doi.org/10.1142/s021773239900208x.

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Five-dimensional model with extended dimensions investigated. It is shown that four dimensionality of our world is the result of the stability requirement. Extra component of five-dimensional Einstein's equations that is responsible for trapping of matter fields coincides with the condition of stability.

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47

Janga, Venkata Somi Reddy, Mokhtar Awang, and Srinivasa Rao Pedapati. "A Numerical Study on the Effect of Tool Speeds on Temperatures and Material Flow Behaviour in Refill Friction Stir Spot Welding of Thin AA7075-T6 Sheets." Materials 16, no. 8 (April 14, 2023): 3108. http://dx.doi.org/10.3390/ma16083108.

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A three-dimensional (3D) numerical model was created to simulate and analyze the effect of tool rotational speeds (RS) and plunge rate (PR) on refill friction stir spot welding (refill FSSW) of AA7075-T6 sheets. The numerical model was validated by comparing the temperatures recorded at a subset of locations with those recorded at the exact locations in prior experimental studies from the literature. The peak temperature at the weld center obtained from the numerical model differed by an error of 2.2%. The results showed that with the rise in RS, there was an increase in weld temperatures, effective strains, and time-averaged material flow velocities. With the rise in PR, the temperatures and effective strains were reduced. Material movement in the stir zone (SZ) was improved with the increment of RS. With the rise in PR, the top sheet’s material flow was improved, and the bottom sheet’s material flow was reduced. A deep understanding of the effect of tool RS and PR on refill FSSW joint strength were achieved by correlating the thermal cycles and material flow velocity results obtained from the numerical models to the lap shear strength (LSS) from the literature.

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A, RANGASWAMY, PREMSEKHAR M, and VENKITASWAMY R. "INTEGRATED FARMING SYSTEM FOR GARDENLANDS." Madras Agricultural Journal 82, june augest (1995): 464–66. http://dx.doi.org/10.29321/maj.10.a01235.

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A model on integrated farming system to suit the small and marginal farmers under gardenland conditions was studied during 1988 to 1993 at Gardenlands of Tamil Nadu Agricultural University, Coimbatore with the aim, to achieve better utilisation of available resources for obtaining maximum returns by integrating cropping, dairy, spawn production, bio-gas and sylviculture, to recycle farm and livestock wastes effectively, to provide gainful employment throughout the year, to assure stability in production and return. The model integrating the components cropping, dairy, spawn production, bio-gas and syluriculture were contemplated in this study. The receipt, expenditures and net income for the integrated model for the farm as a whole was studied over a period of five years (1988-1993). Mean net income of 1988 to 1993 in integrated farming system (IFS) and conventional cropping system (CCS) was Rs.34584 and Rs.13496 ha-1 respectively. Integrated farming system thus provides an additional mean net income of Rs.20638 ha over a period of five years by way of effective recycling. The employment opportunity in the new IFS with proposed components was enhanced to the tune 770 man days per year over CCS. The results of five years study revealed that by way of integrating agricultural allied enterprises with crop activity, the standard of living of the farmer, income per unit area per unit time and employment opportunity for the family were enhanced over the CCS.

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Mahmoodi, M. J., M. M. Aghdam, and M. Shakeri. "The effects of interfacial debonding on the elastoplastic response of unidirectional silicon carbide—titanium composites." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 2 (February 1, 2010): 259–69. http://dx.doi.org/10.1243/09544062jmes1681.

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A three-dimensional micromechanics-based analytical model is presented to investigate the effects of initiation and propagation of interface damage on the elastoplastic behaviour of unidirectional SiC—Ti metal matrix composites (MMCs) subjected to off-axis loading. Temperature-dependent properties are considered for the matrix. Manufacturing process thermal residual stress (RS) is also included in the model. The selected representative volume element consists of r× c unit cells in which a quarter of the fibre is surrounded by matrix sub-cells. The constant compliance interface model is used to model interfacial debonding and the successive approximation method together with von Mises yield criterion is used to obtain elastoplastic behaviour. Dominance mode of damage including fibre fracture, interfacial debonding, and matrix yielding and ultimate tensile strength of the SiC—Ti MMC are predicted for various loading directions. The effects of thermal RS and fibre volume fraction on the stress—strain response of the SiC—Ti MMC are studied. Results revealed that for more realistic predictions, both interface damage and thermal RS effects should be considered in the analysis. The contribution of interfacial debonding and thermal RS in the overall behaviour of the material is also investigated. Comparison between results of the presented model shows very good agreement with the finite-element micromechanical analysis and experiment for various off-axis angles.

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50

Sun, C., D. Jiang, J. Wang, and Y. Zhu. "A new approach to accurate validation of remote sensing retrieval of evapotranspiration based on data fusion." Hydrology and Earth System Sciences Discussions 7, no. 2 (March 3, 2010): 1745–84. http://dx.doi.org/10.5194/hessd-7-1745-2010.

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Abstract. The study presented a new method of validating the remote-sensing (RS) retrieval of evapotranspiration (ET) under the support of a distributed hydrological model: Soil and Water Assessment Tool (SWAT). In this method, the output runoff data based on a fusion of ET data, meteorological data and rainfall data, etc. were compared with the observed runoff data, so as to carry out validation analysis. A new pattern of validating the ET data obtained from RS retrieval, which was more appropriate than the conventional means of observing the ET at several limited stations based on eddy covariance, was proposed. It has integrated the advantage of high requirement of ET with high spatial resolution in the distributed hydrological model and that of the capacity of providing ET with high spatial resolution in RS methods. First, the ET data in five years (2000–2004) were retrieved with RS according to the principle of energy balance. The temporal/spatial ditribution of monthly ET data and related causes were analyzed in the year of 2000, and the monthly ET in the five years was calculated according to the PM model. Subsequently, the results of the RS retrieval of ET and the PM-based ET calculation were compared and validated. Finnaly, the ET data obtained from RS retrieval was evaluated with the new method, under the support of SWAT, meteorologic data, Digital Elevation Model (DEM), landuse data and soil data, etc. as the input, being compared with the PM-based ET. According to the ET data analysis, it can be inferred that the ET obtained from RS retrieval was more continuous and stable with less saltation, while the PM-based ET presented saltation, especially in the year of 2000 and 2001. The correlation coefficient between the monthly ET in two methods reaches 0.8914, which could be explained by the influence from clouds and the inadequate representativeness of the meteorologic stations. Moreover, the PM-based ET was smaller than the ET obtained from RS retrieval, which was in accordance with previous studies (Jamieson, 1982; Dugas and Ainsworth, 1985; Benson et al., 1992; Pereira and Nova, 1992). After the data fusion, the correlation (R2=0.8516) between the monthly runoff obtained from the simulation based on ET retrieval and the observed data was higher than that (R2=0.8411) between the data obtained from the PM-based ET simulation and the observed data. As for the RMSE, the result (RMSE=26.0860) between the simulated runoff based on ET retrieval and the observed data was also superior to the result (RMSE=35.71904) between the simulated runoff obtained with PM-based ET and the observed data. As for the MBE parameter, the result (MBE=−8.6578) for the RS retrieval method was obviously better than that (MBE=−22.7313) for the PM-based method. The comparison of them showed that the RS retrieval had better adaptivity and higher accuracy than the PM-based method, and the new approach based on data fusion and the distributed hydrological model was feasible, reliable and worth being studied further.

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