Relevant bibliographies by topics / Non-extensive statistical mechanic

Academic literature on the topic 'Non-extensive statistical mechanic'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Non-extensive statistical mechanic"

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Nakamichi, A., I. Joichi, O. Iguchi, and M. Morikawa. "Non-extensive galaxy distributions – Tsallis statistical mechanics." Chaos, Solitons & Fractals 13, no. 3 (March 2002): 595–601. http://dx.doi.org/10.1016/s0960-0779(01)00042-x.

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Shivamoggi, B. K. "Non-extensive statistical mechanics of compressible turbulence." Physica A: Statistical Mechanics and its Applications 318, no. 3-4 (February 2003): 358–70. http://dx.doi.org/10.1016/s0378-4371(02)01368-7.

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Ruseckas, Julius. "Canonical ensemble in non-extensive statistical mechanics." Physica A: Statistical Mechanics and its Applications 447 (April 2016): 85–99. http://dx.doi.org/10.1016/j.physa.2015.12.011.

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Liu, Limin, Lin Zhang, and Shiqi Fan. "Optimal investment problem under non-extensive statistical mechanics." Computers & Mathematics with Applications 75, no. 10 (May 2018): 3549–57. http://dx.doi.org/10.1016/j.camwa.2018.02.016.

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Hansen, Steen H., Daniel Egli, Lukas Hollenstein, and Christoph Salzmann. "Dark matter distribution function from non-extensive statistical mechanics." New Astronomy 10, no. 5 (April 2005): 379–84. http://dx.doi.org/10.1016/j.newast.2005.01.005.

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Gross, D. H. E. "Micro-canonical statistical mechanics of some non-extensive systems☆." Chaos, Solitons & Fractals 13, no. 3 (March 2002): 417–30. http://dx.doi.org/10.1016/s0960-0779(01)00023-6.

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Vakili-Nezhaad, G. R., and G. A. Mansoori. "An Application of Non-Extensive Statistical Mechanics to Nanosystems." Journal of Computational and Theoretical Nanoscience 1, no. 2 (September 1, 2004): 227–29. http://dx.doi.org/10.1166/jctn.2004.021.

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Plastino, A. R., and A. Plastino. "Non-extensive statistical mechanics and generalized Fokker-Planck equation." Physica A: Statistical Mechanics and its Applications 222, no. 1-4 (December 1995): 347–54. http://dx.doi.org/10.1016/0378-4371(95)00211-1.

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Bin Yang, Heling Li, Yan Ma, and Ying Xiong. "Study on Traditional Extensive Statistical Mechanics in Non-extension System." Journal of Convergence Information Technology 8, no. 8 (April 30, 2013): 906–13. http://dx.doi.org/10.4156/jcit.vol8.issue8.107.

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Abe, Sumiyoshi. "Conceptual difficulties with theq-averages in non-extensive statistical mechanics." Journal of Physics: Conference Series 394 (November 29, 2012): 012003. http://dx.doi.org/10.1088/1742-6596/394/1/012003.

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Books on the topic "Non-extensive statistical mechanic"

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Horing, Norman J. Morgenstern. Quantum Statistical Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.001.0001.

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The methods of coupled quantum field theory, which had great initial success in relativistic elementary particle physics and have subsequently played a major role in the extensive development of non-relativistic quantum many-particle theory and condensed matter physics, are at the core of this book. As an introduction to the subject, this presentation is intended to facilitate delivery of the material in an easily digestible form to students at a relatively early stage of their scientific development, specifically advanced undergraduates (rather than second or third year graduate students), who are mathematically strong physics majors. The mechanism to accomplish this is the early introduction of variational calculus with particle sources and the Schwinger Action Principle, accompanied by Green’s functions, and, in addition, a brief derivation of quantum mechanical ensemble theory introducing statistical thermodynamics. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green’s function equations of motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and non-equilibrium Green’s functions, and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions includes quantum plasma dynamic, nonlocal screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low-dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as superconductors, superfluids and graphene.
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Tuck, Adrian F. Atmospheric Turbulence. Oxford University Press, 2008. http://dx.doi.org/10.1093/oso/9780199236534.001.0001.

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This book, authored by a well-known researcher and expositor in meteorology, focuses on the direct link between molecular dynamics, turbulence theory, fluid mechanics and non equilibrium statistical mechanics, it is relevant to the fields of applied mathematics, physics and atmospheric sciences, and focuses on fluid flow and turbulence, as well as on temperature, radiative transfer and chemistry. With extensive references and glossary, this is an ideal text for graduates and researchers in meteorology, applied mathematics and physical chemistry.
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Book chapters on the topic "Non-extensive statistical mechanic"

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Yang, Bin, Heling Li, and Ying Xiong. "Non-extensive Statistical Mechanics and Statistical Distribution for Completely Open Systems." In Communications in Computer and Information Science, 262–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-34041-3_38.

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Pavlos, G. P., L. P. Karakatsanis, A. C. Iliopoulos, E. G. Pavlos, and A. A. Tsonis. "Non-Extensive Statistical Mechanics: Overview of Theory and Applications in Seismogenesis, Climate, and Space Plasma." In Advances in Nonlinear Geosciences, 465–95. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58895-7_22.

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Conference papers on the topic "Non-extensive statistical mechanic"

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Sakhaee-Pour, A., A. R. Gowhari-Anaraki, and S. J. Hardy. "SIFs for Radial Cracks in Annular Discs Under Internal and External Shrinkage Pressure and Constant Angular Velocity." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42861.

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Finite element method has been implemented to predict stress intensity factors (SIFs) for radial cracks in annular discs under constant angular velocity. Effects of internal and external uniform pressure on the SIFs have also been considered. Linear elastic fracture mechanics finite element analyses have been performed and results are presented in the form of crack configuration factors for a wide range of components and crack geometry parameters. These parameters are chosen to be representative of typical practical situations. The extensive range of crack configuration factors obtained from the analyses is then used to develop equivalent prediction equations via a statistical multiple non-linear regression model. The accuracy of this model is measured using a multiple coefficient of determination, R2, where 0 ≤ R2 ≤ 1. This coefficient is found to be greater than or equal to 0.98 for all cases considered in this study, demonstrating the quality of the model fit to the data. These equations for the SIFs enable designers to predict fatigue life of the components easily.
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Lydell, Bengt. "Risk-Informed Structural Integrity Management: Development of SMR-Centric Piping Reliability Models." In ASME 2014 Small Modular Reactors Symposium. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/smr2014-3328.

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In the context of risk-informed applications, this paper addresses the progress with piping reliability analysis methods and techniques and their role in supporting development of risk-informed structural integrity programs for small modular reactors (SMRs). The structural integrity of a pressure boundary is determined by multiple and interrelated reliability attributes and influence factors. Depending on the conjoint requirements for damage and degradation, certain combinations of material, operating environment, loading conditions together with applicable design codes and standards, certain passive components are substantially more resistant to damage and degradation than others. As an example, for stabilized austenitic stainless steel pressure boundary components, there are no recorded events involving active, through-wall leakage. By contrast, for unstabilized austenitic stainless steel, multiple events involving through-wall leakage have been recorded, albeit with relative minor leak rates. The field experience with safety- and non-safety related piping in commercial GenI through GenIII nuclear power reactors is quite extensive. Equally extensive is the experience gained from the implementation of different degradation mechanism mitigation strategies. By applying advanced piping reliability models, this body engineering data and integrity management insights can be used to assess the projected structural integrity of new piping system designs, including those of SMRs. The paper presents an overview of recent methodological advances and insights from the application of statistical piping reliability models to advanced reactor designs. Examples are provided on how piping reliability parameter estimates are affected by different integrity management strategies as well as by advanced, degradation mechanism (DM) resistant materials. The technical basis for the work that is presented in this paper has evolved over a period of 20+ years of focused and sustained R&D in the area of statistical models of piping reliability.
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Kazmer, David, and Liang Zhu. "An Integrated Performance Modeling System." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59100.

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An integrated performance modeling system is presented for use in general decision making problems including engineering design, manufacturing process and quality control, and other applications. The system relies on a function matrix that relates decision variables to performance variables. The system utilizes both global and local linearization of non-linear functions, after which the Extensive Simplex Method is used to derive the set of all feasible decisions based upon the specification limits for the performance variables and the control limits on the decision variables. Beyond current Six Sigma best practices, the described system explicitly considers both modeling uncertainty and uncontrolled variation. The specification limits may be automatically tightened by the confidence intervals and variation limits to ensure feasibility to a desired level of confidence and robustness. Three sets of feasible decisions are established including 1) the global feasible set that establishes the extreme limits of feasibility by allowing all the decision variables to vary simultaneously within their range of the control limits, 2) the local feasibility, which shows the immediate feasibility for each decision variable holding other decision variables at their current value, and 3) the controllable feasibility for each performance variable holding other performance variables at their current value. The system provides a perspective view of 1) the function matrix, 2) a historical view of the decision variables which may be used in a manner similar to statistical process control X-Bar charts, 3) a historical view of the performance variables which may be used in a manner similar to statistical quality control charts, 4) a set of decision windows showing the joint feasibility of all pairs of decision variables, which may be used in a manner similar to process windows, and 5) a set of performance windows showing the joint feasibility of all pairs of performance variables, which may be used in a manner similar to Pareto Optimal graphs. An example is provided for a beam design model with four decision variables and three performance variables.
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Seibi, Abdennour C., Brandon Salazar, Jalel Ben Hmida, and Gordon Guillory. "Experimental Investigation and Data Analytics of Annular Cutting Velocity in Inclined and Horizontal Pipes." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-24203.

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Abstract The lack of cutting transportation during drilling operations especially in horizontal and inclined wells can lead to large amounts of non-productive time and costly solutions. This problem has been encountered very often in the field due mostly to settlement of the cuttings at the bottom side of the hole and especially around pipe joints. Moreover, adopted rheological models are limited to 60 deg. inclination angle to predict the flow behavior of cuttings transport in directional wells. Therefore, the objective of this paper is to investigate the effect of various parameters related to the well configuration (inclined vs. horizontal), operating conditions, pipe/tool joints configurations, and flow conditions on the cutting velocity through an extensive experimental study with data analytics. The experimental approach was analyzed through film software, which allowed for the cutting velocities to be estimated. Regression models of cutting velocity with respect to each dimensionless group were formed and validated through a statistical analysis. A new empirical model for the cutting velocity was developed using multiple linear regression analyses. A sensitivity analysis was conducted to highlight the contribution of each dimensionless group on the variation of the cutting velocity. The newly proposed model for cutting velocity was tested and the calculated cutting velocity of 0.532 ft/s (.162 m/s) fell within the range of study between 0.188 ft/s (.057 m/s) and 0.690 ft/s (.210 m/s).
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Posa, Vishnu Vardhan, and Murali Sundaram. "Experimental Study of Micromachining on Reflective Surface Using CO2 Laser." In ASME 2020 15th International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/msec2020-8350.

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Abstract Laser Beam Machining (LBM) is one of the versatile non-traditional manufacturing processes. Material removal in LBM is based on high heat flux generated by laser beam which melts and vaporizes the workpiece material in the focused point. Laser Beam Machining process can shape almost all range of engineering materials from metallic alloys to non-metallic alloys as well as composite materials. But one of the main limitations of laser beam machining is the machining of reflective materials. When laser beam is focused on the reflective surface, part of the energy is reflected by the surface and the remaining is absorbed. In this study, an attempt has been made to increase the absorptivity of the reflective material by coating anti-reflective coating on the surface of the material. Glass has been used as reflective material in this study because of its extensive applications in the micro-opto-electro-mechanical systems. The optimal machining depends on both laser parameters and properties of the workpiece material. There are number of laser parameters that can be varied in the laser machining process. It is difficult to find optimal laser parameters due to mutual interaction of laser parameters. A statistical study based on design of experiment (DoE) has been made to study the effect of anti-reflective coating and parameters like laser power, laser scanning speed, angle of inclination of the workpiece on depth of the slot, width of the slot, aspect ratio and material removal rate (MRR) in the laser machining process using 2k factorial design and ANOVA. On an average 4 times increase in depth of the slot, 2 times increase in width of the slot and 7 times increase in the MRR was observed in the glass work samples with anti-reflective coating when compared to glass work samples without anti-reflective coating.
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Gillet, Jean-Numa, and Sebastian Volz. "Atomic-Scale Three-Dimensional Phononic Crystals With a Large Thermoelectric Figure of Merit." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68381.

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The design of thermoelectric materials led to extensive research on superlattices with a low thermal conductivity. Indeed, the thermoelectric figure of merit ZT varies with the inverse of the thermal conductivity but is directly proportional to the power factor. Unfortunately, as nanowires, superlattices cancel heat conduction in only one main direction. Moreover they often show dislocations owing to lattice mismatches, which reduces their electrical conductivity and avoids a ZT larger than unity. Self-assembly is a major epitaxial technology to design ultradense arrays of germanium quantum dots (QDs) in silicon for many promising electronic and photonic applications as quantum computing. Accurate positioning of the self-assembled QD can now be achieved with few dislocations. We theoretically demonstrate that high-density three-dimensional (3-D) arrays of self-assembled Ge QDs, with a size of only some nanometers, in a Si matrix can also show an ultra-low thermal conductivity in the three spatial directions. This property can be considered to design new CMOS-compatible thermoelectric devices. To obtain a realistic and computationally-manageable model of these nanomaterials, we simulate their thermal behavior with atomic-scale 3-D phononic crystals. A phononic-crystal period (supercell) consists of diamond-like Si cells. At each supercell center, we substitute Si atoms by Ge atoms to form a box-like nanoparticle. Since this phononic crystal is periodic, we compute its phonon dispersion curves by classical lattice dynamics. Non-periodicities can be introduced with statistical distributions. From the flat dispersion curves, we obtain very small group velocities; this reduces the thermal conductivity in our phononic crystal compared to bulk Si. However, owing to the wave-particle duality at very small scales in quantum mechanics, another reduction arises from multiple scattering of the particle-like phonons in nanoparticle clusters. At room temperature, the thermal conductivity in an example phononic crystal can be reduced by a factor of at least 165 compared to bulk Si or below 0.95 W/mK. This value, which is lower than the classical Einstein limit of single crystalline Si, is an upper limit of the thermal conductivity since we use an incoherent-scattering approach for the nanoparticles. Because of its very low thermal conductivity, we hope to obtain a much larger ZT than unity in our atomic-scale 3-D phononic crystal. Indeed, this silicon-based nanomaterial is crystalline with a power factor that can be optimized by doping using CMOS-compatible processes. Future research on the phononic-crystal electrical conductivity has to be performed in order to compute the full ZT with a good accuracy.
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