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Journal articles on the topic 'Diffusion drift models'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

van den Berg, J. P., N. E. Engelbrecht, N. Wijsen, and R. D. Strauss. "On the Turbulent Reduction of Drifts for Solar Energetic Particles." Astrophysical Journal 922, no. 2 (2021): 200. http://dx.doi.org/10.3847/1538-4357/ac2736.

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Abstract Particle drifts perpendicular to the background magnetic field have been proposed by some authors as an explanation for the very efficient perpendicular transport of solar energetic particles (SEPs). This process, however, competes with perpendicular diffusion caused by magnetic turbulence, which can also disrupt the drift patterns and reduce the magnitude of drift effects. The latter phenomenon is well known in cosmic-ray studies, but not yet considered in SEP models. Additionally, SEP models that do not include drifts, especially for electrons, use turbulent drift reduction as a jus

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2

Degond, Pierre, Florian M�hats, and Christian Ringhofer. "Quantum Energy-Transport and Drift-Diffusion Models." Journal of Statistical Physics 118, no. 3-4 (2005): 625–67. http://dx.doi.org/10.1007/s10955-004-8823-3.

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3

Glitzky, Annegret. "Analysis of spin-polarized drift-diffusion models." PAMM 8, no. 1 (2008): 10717–18. http://dx.doi.org/10.1002/pamm.200810717.

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4

Pekkanen, Jami, Oscar Terence Giles, Yee Mun Lee, et al. "Variable-Drift Diffusion Models of Pedestrian Road-Crossing Decisions." Computational Brain & Behavior 5, no. 1 (2021): 60–80. http://dx.doi.org/10.1007/s42113-021-00116-z.

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AbstractHuman behavior and interaction in road traffic is highly complex, with many open scientific questions of high applied importance, not least in relation to recent development efforts toward automated vehicles. In parallel, recent decades have seen major advances in cognitive neuroscience models of human decision-making, but these models have mainly been applied to simplified laboratory tasks. Here, we demonstrate how variable-drift extensions of drift diffusion (or evidence accumulation) models of decision-making can be adapted to the mundane yet non-trivial scenario of a pedestrian dec

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Pekkanen, Jami, Oscar Terence Giles, Yee Mun Lee, et al. "Variable-Drift Diffusion Models of Pedestrian Road-Crossing Decisions." Computational Brain & Behavior 5, no. 1 (2021): 60–80. http://dx.doi.org/10.1007/s42113-021-00116-z.

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AbstractHuman behavior and interaction in road traffic is highly complex, with many open scientific questions of high applied importance, not least in relation to recent development efforts toward automated vehicles. In parallel, recent decades have seen major advances in cognitive neuroscience models of human decision-making, but these models have mainly been applied to simplified laboratory tasks. Here, we demonstrate how variable-drift extensions of drift diffusion (or evidence accumulation) models of decision-making can be adapted to the mundane yet non-trivial scenario of a pedestrian dec

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6

Langner, M., J. Peinke, F. Flemisch, M. Baumann, and D. Beckmann. "Drift and diffusion based models of driver behavior." European Physical Journal B 76, no. 1 (2010): 99–107. http://dx.doi.org/10.1140/epjb/e2010-00148-8.

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7

Hübner, Ronald, and Thomas Pelzer. "Improving parameter recovery for conflict drift-diffusion models." Behavior Research Methods 52, no. 5 (2020): 1848–66. http://dx.doi.org/10.3758/s13428-020-01366-8.

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Abstract Several drift-diffusion models have been developed to account for the performance in conflict tasks. Although a common characteristic of these models is that the drift rate changes within a trial, their architecture is rather different. Comparative studies usually examine which model fits the data best. However, a good fit does not guarantee good parameter recovery, which is a necessary condition for a valid interpretation of any fit. A recent simulation study revealed that recovery performance varies largely between models and individual parameters. Moreover, recovery was generally n

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Chau, Edwin, Carolyn A. Murray, and Ladan Shams. "Hierarchical drift diffusion modeling uncovers multisensory benefit in numerosity discrimination tasks." PeerJ 9 (October 27, 2021): e12273. http://dx.doi.org/10.7717/peerj.12273.

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Studies of accuracy and reaction time in decision making often observe a speed-accuracy tradeoff, where either accuracy or reaction time is sacrificed for the other. While this effect may mask certain multisensory benefits in performance when accuracy and reaction time are separately measured, drift diffusion models (DDMs) are able to consider both simultaneously. However, drift diffusion models are often limited by large sample size requirements for reliable parameter estimation. One solution to this restriction is the use of hierarchical Bayesian estimation for DDM parameters. Here, we utili

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Vinyard, Michael E., Anders W. Rasmussen, Ruitong Li, Luca Pinello, and Gad Getz. "Abstract 5371: Modeling single-cell dynamics using stochastic generative models based on neural differential equations." Cancer Research 83, no. 7_Supplement (2023): 5371. http://dx.doi.org/10.1158/1538-7445.am2023-5371.

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Abstract Hematopoietic malignancies arise from driver alterations acquired during specific, often intermediate and transient, differentiation states. When adequately sampled, “snapshot” single-cell measurements can capture dynamic biological processes, including transient states. While there are effective computational modeling solutions to order and capture the relationships among these cell states (often projecting onto a lower dimensional manifold with directionality), methods to infer the causal gene regulatory mechanisms driving cell state transitions remain limited. Recently, a mathemati

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10

Anile, A. M., O. Muscato, S. Rinaudo, and P. Vergari. "Testing Hydrodynamical Models on the Characteristics of a One-Dimensional Submicrometer Structure." VLSI Design 6, no. 1-4 (1998): 155–60. http://dx.doi.org/10.1155/1998/63185.

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Recent advances in technology leads to increasing high speed performance of submicrometer electron devices by the scaling of both process and geometry. In order to aid the design of these devices it is necessary to utilize powerful numerical simulation tools. In an industrial environment the simulation codes based on the Drift-Diffusion models have been widely used. However the shrinking dimension of the devices causes the Drift-Diffusion based simulators to become less accurate. Then it is necessary to utilize more refined models (including higher order moments of the distribution function) i

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11

Kordt, Pascal, Sven Stodtmann, Alexander Badinski, Mustapha Al Helwi, Christian Lennartz, and Denis Andrienko. "Parameter-free continuous drift–diffusion models of amorphous organic semiconductors." Physical Chemistry Chemical Physics 17, no. 35 (2015): 22778–83. http://dx.doi.org/10.1039/c5cp03605d.

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12

Comte, Fabienne, and Valentine Genon-Catalot. "Drift estimation on non compact support for diffusion models." Stochastic Processes and their Applications 134 (April 2021): 174–207. http://dx.doi.org/10.1016/j.spa.2021.01.001.

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13

Chalub, Fabio A. C. C., Peter A. Markowich, Beno�t Perthame, and Christian Schmeiser. "Kinetic Models for Chemotaxis and their Drift-Diffusion Limits." Monatshefte f�r Mathematik 142, no. 1-2 (2004): 123–41. http://dx.doi.org/10.1007/s00605-004-0234-7.

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14

FUCHS, F., and F. POUPAUD. "ASYMPTOTICAL AND NUMERICAL ANALYSIS OF DEGENERACY EFFECTS ON THE DRIFT-DIFFUSION EQUATIONS FOR SEMICONDUCTORS." Mathematical Models and Methods in Applied Sciences 05, no. 08 (1995): 1093–111. http://dx.doi.org/10.1142/s0218202595000577.

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A current approximation for modeling electron transport in semiconductor devices is to assume small electron density. Through this method nondegenerate models are obtained. Here we present an asymptotical analysis of that approximation on the drift-diffusion equation. The numerical approximations of the degenerate and nondegenerate equations are then compared. A modified Scharfetter-Gummel scheme which integrates the degenerate drift-diffusion equation is proposed for comparison.

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15

Elbanna, Amany R. "Strategic Systems Implementation: Diffusion through Drift." Journal of Information Technology 23, no. 2 (2008): 89–96. http://dx.doi.org/10.1057/palgrave.jit.2000130.

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The adoption of Enterprise Resource Planning (ERP) systems follows various paths in organisations and achieves diverse results. The traditional models of diffusion of innovation applied in information systems are not sufficient to explain such variations in adoption. This study examines the process of drift in an ERP project to answer the questions of how and why drift tends to occur in such projects. It applies Actor Network Theory to interpret the data. This analytical lens reveals that a software implementation project's fate depends on each move it takes and each party involved in handling

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16

Labiod, Samir, Saida Latreche, Mourad Bella, and Christian Gontrand. "Combined Electromagnetic and Drift Diffusion Models for Microwave Semiconductor Device." Journal of Electromagnetic Analysis and Applications 03, no. 10 (2011): 423–29. http://dx.doi.org/10.4236/jemaa.2011.310067.

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17

Stevens, A., K. Kang, and H. J. Hwang. "Drift-diffusion limits of kinetic models for chemotaxis: A generalization." Discrete and Continuous Dynamical Systems - Series B 5, no. 2 (2005): 319–34. http://dx.doi.org/10.3934/dcdsb.2005.5.319.

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18

Brezzi, Franco, Luisa Donatella Marini, and Paola Pietra. "Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models." SIAM Journal on Numerical Analysis 26, no. 6 (1989): 1342–55. http://dx.doi.org/10.1137/0726078.

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19

de Falco, Carlo, Emilio Gatti, Andrea L. Lacaita, and Riccardo Sacco. "Quantum-corrected drift-diffusion models for transport in semiconductor devices." Journal of Computational Physics 204, no. 2 (2005): 533–61. http://dx.doi.org/10.1016/j.jcp.2004.10.029.

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20

Wang, Wei-Min, and Jing Wang. "NONPARAMETRIC HYPOTHESIS OF DRIFT FUNCTION IN LOCALLY STATIONARY DIFFUSION MODELS." Far East Journal of Applied Mathematics 100, no. 3 (2018): 181–96. http://dx.doi.org/10.17654/am100030181.

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21

Linetsky, Vadim. "On the transition densities for reflected diffusions." Advances in Applied Probability 37, no. 2 (2005): 435–60. http://dx.doi.org/10.1239/aap/1118858633.

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Diffusion models in economics, finance, queueing, mathematical biology, and electrical engineering often involve reflecting barriers. In this paper, we study the analytical representation of transition densities for reflected one-dimensional diffusions in terms of their associated Sturm-Liouville spectral expansions. In particular, we provide explicit analytical expressions for transition densities of Brownian motion with drift, the Ornstein-Uhlenbeck process, and affine (square-root) diffusion with one or two reflecting barriers. The results are easily implementable on a personal computer and

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22

Linetsky, Vadim. "On the transition densities for reflected diffusions." Advances in Applied Probability 37, no. 02 (2005): 435–60. http://dx.doi.org/10.1017/s0001867800000252.

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Diffusion models in economics, finance, queueing, mathematical biology, and electrical engineering often involve reflecting barriers. In this paper, we study the analytical representation of transition densities for reflected one-dimensional diffusions in terms of their associated Sturm-Liouville spectral expansions. In particular, we provide explicit analytical expressions for transition densities of Brownian motion with drift, the Ornstein-Uhlenbeck process, and affine (square-root) diffusion with one or two reflecting barriers. The results are easily implementable on a personal computer and

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23

Song, Yuping, Chen Li, Hemin Wang, Jiayi Meng, and Liang Hao. "Nonparametric Threshold Estimation for Drift Function in Jump–Diffusion Model of Interest Rate Using Asymmetric Kernel." Mathematics 11, no. 10 (2023): 2281. http://dx.doi.org/10.3390/math11102281.

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The existing estimators for the drift coefficient in the diffusion model with jumps involve jump components and possess larger boundary error. How to effectively estimate the drift function is an important issue that faces challenges and has theoretical significance. In this paper, the gamma asymmetric kernel for boundary correction and threshold function eliminating jump impacts are combined to estimate the unknown drift coefficient in the jump diffusion process of interest rate. The asymptotic large sample property and the better finite sample property through the Monte Carlo numerical simul

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24

Baro, M., H. Neidhardt, and J. Rehberg. "Current Coupling of Drift-Diffusion Models and Schrödinger--Poisson Systems: Dissipative Hybrid Models." SIAM Journal on Mathematical Analysis 37, no. 3 (2005): 941–81. http://dx.doi.org/10.1137/040611690.

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25

Hölzermann, Julian. "Term structure modeling under volatility uncertainty." Mathematics and Financial Economics 16, no. 2 (2021): 317–43. http://dx.doi.org/10.1007/s11579-021-00310-4.

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AbstractIn this paper, we study term structure movements in the spirit of Heath et al. (Econometrica 60(1):77–105, 1992) under volatility uncertainty. We model the instantaneous forward rate as a diffusion process driven by a G-Brownian motion. The G-Brownian motion represents the uncertainty about the volatility. Within this framework, we derive a sufficient condition for the absence of arbitrage, known as the drift condition. In contrast to the traditional model, the drift condition consists of several equations and several market prices, termed market price of risk and market prices of unce

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26

Smith, Philip L., and Simon D. Lilburn. "Vision for the blind: visual psychophysics and blinded inference for decision models." Psychonomic Bulletin & Review 27, no. 5 (2020): 882–910. http://dx.doi.org/10.3758/s13423-020-01742-7.

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Abstract Evidence accumulation models like the diffusion model are increasingly used by researchers to identify the contributions of sensory and decisional factors to the speed and accuracy of decision-making. Drift rates, decision criteria, and nondecision times estimated from such models provide meaningful estimates of the quality of evidence in the stimulus, the bias and caution in the decision process, and the duration of nondecision processes. Recently, Dutilh et al. (Psychonomic Bulletin & Review 26, 1051–1069, 2019) carried out a large-scale, blinded validation study of decision mod

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27

ARABSHAHI, H., REZAEE ROKN-ABADI, and S. GOLAFROZ. "COMPARISON OF TWO-VALLEY HYDRODYNAMIC MODEL IN BULK SiC AND ZnO MATERIALS." Modern Physics Letters B 23, no. 23 (2009): 2807–18. http://dx.doi.org/10.1142/s0217984909020916.

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This report reviews the feasibility of two-dimensional hydrodynamic models in bulk SiC and ZnO semiconductor materials. Although the single-gas hydrodynamic model is superior to the drift-diffusion or energy balance model, it is desirable to direct the efforts of future research in the direction of multi-valley hydrodynamic models. The hydrodynamic model is able to describe inertia effects which play an increasing role in different fields of micro and optoelectronics where simplified charge transport models like the drift-diffusion model and the energy balance model are no longer applicable. R

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28

Lewis, Fraser I., Godfrey Guga, Paschal Mdoe, et al. "Introducing a drift and diffusion framework for childhood growth research." Gates Open Research 4 (June 29, 2020): 71. http://dx.doi.org/10.12688/gatesopenres.13123.1.

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Background: Growth trajectories are highly variable between children, making epidemiological analyses challenging both to the identification of malnutrition interventions at the population level and also risk assessment at individual level. We introduce stochastic differential equation (SDE) models into child growth research. SDEs describe flexible dynamic processes comprising: drift - gradual smooth changes – such as physiology or gut microbiome, and diffusion - sudden perturbations, such as illness or infection. Methods: We present a case study applying SDE models to child growth trajectory

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29

Lewis, Fraser I., Godfrey Guga, Paschal Mdoe, et al. "Introducing a drift and diffusion framework for childhood growth research." Gates Open Research 4 (November 26, 2020): 71. http://dx.doi.org/10.12688/gatesopenres.13123.2.

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Background: Growth trajectories are highly variable between children, making epidemiological analyses challenging both to the identification of malnutrition interventions at the population level and also risk assessment at individual level. We introduce stochastic differential equation (SDE) models into child growth research. SDEs describe flexible dynamic processes comprising: drift - gradual smooth changes – such as physiology or gut microbiome, and diffusion - sudden perturbations, such as illness or infection. Methods: We present a case study applying SDE models to child growth trajectory

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30

Pisarenko, Ivan, and Eugeny Ryndin. "Drift-Diffusion Simulation of High-Speed Optoelectronic Devices." Electronics 8, no. 1 (2019): 106. http://dx.doi.org/10.3390/electronics8010106.

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In this paper, we address the problem of research and development of the advanced optoelectronic devices designed for on-chip optical interconnections in integrated circuits. The development of the models, techniques, and applied software for the numerical simulation of carrier transport and accumulation in high-speed AIIIBV (A and B refer to group III and V semiconductors, respectively) optoelectronic devices is the purpose of the paper. We propose the model based on the standard drift-diffusion equations, rate equation for photons in an injection laser, and complex analytical models of carri

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31

Berger, Alexander, Simon Sanwald, Christian Montag, and Markus Kiefer. "The Influence of the BDNF Val66Met Polymorphism on Mechanisms of Semantic Priming: Analyses with Drift-Diffusion Models of Masked and Unmasked Priming." Advances in Cognitive Psychology 17, no. 1 (2021): 70–87. http://dx.doi.org/10.5709/acp-0318-z.

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Automatic and strategic processes in semantic priming can be investigated with masked and unmasked priming tasks. Unmasked priming is thought to enable strategic processes due to the conscious processing of primes, while masked priming exclusively depends on automatic processes due to the invisibility of the prime. Besides task properties, interindividual differences may alter priming effects. In a recent study, masked and unmasked priming based on mean response time (RT) and error rate (ER) differed as a function of the BDNF Val66Met polymorphism (Sanwald et al., 2020). The BDNF Val66Met poly

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32

Alasio, Luca, Maria Bruna, and Yves Capdeboscq. "Stability estimates for systems with small cross-diffusion." ESAIM: Mathematical Modelling and Numerical Analysis 52, no. 3 (2018): 1109–35. http://dx.doi.org/10.1051/m2an/2018036.

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We discuss the analysis and stability of a family of cross-diffusion boundary value problems with nonlinear diffusion and drift terms. We assume that these systems are close, in a suitable sense, to a set of decoupled and linear problems. We focus on stability estimates, that is, continuous dependence of solutions with respect to the nonlinearities in the diffusion and in the drift terms. We establish well-posedness and stability estimates in an appropriate Banach space. Under additional assumptions we show that these estimates are time independent. These results apply to several problems from

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33

Bees, Martin A., and Ottavio A. Croze. "Dispersion of biased swimming micro-organisms in a fluid flowing through a tube." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2119 (2010): 2057–77. http://dx.doi.org/10.1098/rspa.2009.0606.

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Classical Taylor–Aris dispersion theory is extended to describe the transport of suspensions of self-propelled dipolar cells in a tubular flow. General expressions for the mean drift and effective diffusivity are determined exactly in terms of axial moments and compared with an approximation a la Taylor. As in the Taylor–Aris case, the skewness of a finite distribution of biased swimming cells vanishes at long times. The general expressions can be applied to particular models of swimming micro-organisms, and thus be used to predict swimming drift and diffusion in tubular bioreactors, and to el

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34

Yan, Sheng, Zhili Zou, and Zaijin You. "Eulerian Description of Wave-Induced Stokes Drift Effect on Tracer Transport." Journal of Marine Science and Engineering 10, no. 2 (2022): 253. http://dx.doi.org/10.3390/jmse10020253.

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The wave-induced Stokes drift plays a significant role on mass/tracer transport in the ocean and the evolution of coastal morphology. The tracer advection diffusion equation needs to be modified for Eulerian ocean models to properly account for the surface wave effects. The Eulerian description of Stokes drift effect on the tracer transport is derived in this study to show that this effect can be accounted for automatically in the wave-averaged advection-diffusion equation. The advection term in this equation is the wave-averaged concentration flux produced by the interaction between fluctuati

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35

Pedersen, Mads L., and Michael J. Frank. "Simultaneous Hierarchical Bayesian Parameter Estimation for Reinforcement Learning and Drift Diffusion Models: a Tutorial and Links to Neural Data." Computational Brain & Behavior 3, no. 4 (2020): 458–71. http://dx.doi.org/10.1007/s42113-020-00084-w.

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AbstractCognitive models have been instrumental for generating insights into the brain processes underlying learning and decision making. In reinforcement learning it has recently been shown that not only choice proportions but also their latency distributions can be well captured when the choice function is replaced with a sequential sampling model such as the drift diffusion model. Hierarchical Bayesian parameter estimation further enhances the identifiability of distinct learning and choice parameters. One caveat is that these models can be time-consuming to build, sample from, and validate

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36

Khadir, Abdelkader, Nouredine Sengouga, and Mohamed Kamel Abdelhafidi. "Germanium Gradient Optimization for High-Speed Silicon Germanium Hetero-Junction Bipolar Transistors." Annals of West University of Timisoara - Physics 61, no. 1 (2019): 22–32. http://dx.doi.org/10.2478/awutp-2019-0002.

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AbstractThe effect of germanium trapezoidal profile shape on the direct current (DC) current gain (βF), cut-off frequency (fT) and maximum oscillation frequency (fMAX) of silicon-germanium (SiGe) hetero-junction bipolar transistors (HBTs) has been investigated. The energy balance (EB), hydrodynamic (HD) and drift-diffusion (DD) physical transport models in SILVACO technology computer aided design (T-CAD) simulator were used. It was found that the current gain values using energy balance model are higher than hydrodynamic and much higher than those corresponding to drift-diffusion. Moreover, de

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Rus, Florina Stefania, Stefan Danica Novaconi, Paulina Vlazan, and Madalina Ivanovici. "Removal of Methylene Blue by Activated Glass Foams with TiO2 in Dark and Simulated Solar Light." Annals of West University of Timisoara - Physics 61, no. 1 (2019): 33–43. http://dx.doi.org/10.2478/awutp-2019-0003.

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AbstractThe effect of germanium trapezoidal profile shape on the direct current (DC) current gain (βF), cut-off frequency (fT) and maximum oscillation frequency (fMAX) of silicon-germanium (SiGe) hetero-junction bipolar transistors (HBTs) has been investigated. The energy balance (EB), hydrodynamic (HD) and drift-diffusion (DD) physical transport models in SILVACO technology computer aided design (T-CAD) simulator were used. It was found that the current gain values using energy balance model are higher than hydrodynamic and much higher than those corresponding to drift-diffusion. Moreover, de

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38

Holmes, Geoffrey R., Giles Dixon, Sean R. Anderson, et al. "Drift-Diffusion Analysis of Neutrophil Migration during Inflammation Resolution in a Zebrafish Model." Advances in Hematology 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/792163.

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Neutrophils must be removed from inflammatory sites for inflammation to resolve. Recent work in zebrafish has shown neutrophils can migrate away from inflammatory sites, as well as die in situ. The signals regulating the process of reverse migration are of considerable interest, but remain unknown. We wished to study the behaviour of neutrophils during reverse migration, to see whether they moved away from inflamed sites in a directed fashion in the same way as they are recruited or whether the inherent random component of their migration was enough to account for this behaviour. Using neutrop

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Swinburne, Thomas D., and Danny Perez. "Reaction–drift–diffusion models from master equations: application to material defects." Modelling and Simulation in Materials Science and Engineering 30, no. 3 (2022): 034004. http://dx.doi.org/10.1088/1361-651x/ac54c5.

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Abstract We present a general method to produce well-conditioned continuum reaction–drift–diffusion equations directly from master equations on a discrete, periodic state space. We assume the underlying data to be kinetic Monte Carlo models (i.e. continuous-time Markov chains) produced from atomic sampling of point defects in locally periodic environments, such as perfect lattices, ordered surface structures or dislocation cores, possibly under the influence of a slowly varying external field. Our approach also applies to any discrete, periodic Markov chain. The analysis identifies a previousl

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40

Alabau, Fatiha. "Structural properties of the one-dimensional drift-diffusion models for semiconductors." Transactions of the American Mathematical Society 348, no. 3 (1996): 823–71. http://dx.doi.org/10.1090/s0002-9947-96-01519-x.

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41

Teunissen, Jannis. "Improvements for drift-diffusion plasma fluid models with explicit time integration." Plasma Sources Science and Technology 29, no. 1 (2020): 015010. http://dx.doi.org/10.1088/1361-6595/ab6757.

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42

Baccarani, Giorgio, Elena Gnani, Antonio Gnudi, Susanna Reggiani, and Massimo Rudan. "Theoretical foundations of the quantum drift-diffusion and density-gradient models." Solid-State Electronics 52, no. 4 (2008): 526–32. http://dx.doi.org/10.1016/j.sse.2007.10.051.

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43

JU, QIANGCHANG, and SHU WANG. "QUASI-NEUTRAL LIMIT OF THE MULTIDIMENSIONAL DRIFT-DIFFUSION MODELS FOR SEMICONDUCTORS." Mathematical Models and Methods in Applied Sciences 20, no. 09 (2010): 1649–79. http://dx.doi.org/10.1142/s021820251000474x.

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This paper is devoted to the rigorous justification of the quasi-neutral limit of bipolar transient drift-diffusion models for semiconductors with p–n junctions in the multidimensional space. The general initial data and smooth sign-changing doping profiles with good boundary conditions are considered. The limit is performed rigorously by using multiple scaling asymptotic analysis, in which one main point is the construction of a more accurate approximate solution involving the effect of initial layer. The uniform estimates with respect to the scaled Debye length are obtained through the elabo

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44

Jüngel, Ansgar, and Nicola Zamponi. "Two spinorial drift-diffusion models for quantum electron transport in graphene." Communications in Mathematical Sciences 11, no. 3 (2013): 807–30. http://dx.doi.org/10.4310/cms.2013.v11.n3.a7.

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45

Knessl, Charles. "Exact and asymptotic solutions to a PDE that arises in time-dependent queues." Advances in Applied Probability 32, no. 1 (2000): 256–83. http://dx.doi.org/10.1239/aap/1013540033.

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We consider a diffusing particle in one dimension that is subject to a time-dependent drift or potential field. A reflecting barrier constrains the particle's position to the half-line X ≥ 0. Such models arise naturally in the study of queues with time-dependent arrival rates, as well as in advection-diffusion problems of mathematical physics. We solve for the probability distribution of the particle as a function of space and time. Then we do a detailed study of the asymptotic properties of the solution, for various ranges of space and time. We also relate our asymptotic results to those obta

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Knessl, Charles. "Exact and asymptotic solutions to a PDE that arises in time-dependent queues." Advances in Applied Probability 32, no. 01 (2000): 256–83. http://dx.doi.org/10.1017/s0001867800009873.

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We consider a diffusing particle in one dimension that is subject to a time-dependent drift or potential field. A reflecting barrier constrains the particle's position to the half-line X ≥ 0. Such models arise naturally in the study of queues with time-dependent arrival rates, as well as in advection-diffusion problems of mathematical physics. We solve for the probability distribution of the particle as a function of space and time. Then we do a detailed study of the asymptotic properties of the solution, for various ranges of space and time. We also relate our asymptotic results to those obta

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Muscato, Orazio, and Vincenza Di Stefano. "A hierarchy of hydrodynamic models for silicon carbide semiconductors." Communications in Applied and Industrial Mathematics 8, no. 1 (2017): 251–64. http://dx.doi.org/10.1515/caim-2017-0013.

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Abstract The electro-thermal transport in silicon carbide semiconductors can be described by an extended hydrodynamic model, obtained by taking moments from kinetic equations, and using the Maximum Entropy Principle. By performing appropriate scaling, one can obtain reduced transport models such as the Energy transport and the drift-diffusion ones, where the transport coefficients are explicitly determined.

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BANASIAK, JACEK. "MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY." Mathematical Models and Methods in Applied Sciences 10, no. 02 (2000): 163–86. http://dx.doi.org/10.1142/s0218202500000112.

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In this paper we analyse properties of collision operators which occur in linear Boltzmann–Maxwell models with inelastic scattering. In particular, we prove the solvability of the Cauchy problem for such models. These results form a basis for further applications of these models and, in particular, for their asymptotic analysis and the derivation of the drift–diffusion approximation.

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Yu, Feng, and Yong Yin. "Oil Spill Visualization Based on the Numeric Simulation of Tidal Current." International Journal of Virtual Reality 8, no. 2 (2009): 71–74. http://dx.doi.org/10.20870/ijvr.2009.8.2.2727.

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This paper proposes an approach to implement the 3D visualization of oil spill based on tidal hydrodynamic model. It simulates tidal current of M2 component tide in Jiaozhou Bay. The simulation results conform to the tidal theory and probably conform to the flow measurement report of crude oil pier Phase III at Qingdao Harbor. Based on tidal current and eye-point related adaptive ocean surface mesh model, by analyzing the drift and diffusion mathematical models of oil spill on the sea, the dynamic visualization of drift and diffusion course of oil on the sea were implemented, the visualization

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Danielewski, Marek, and Bartek Wierzba. "Bi-Velocity Method and Linear Nonreversible Thermodynamics, Interdiffusion in R2." Defect and Diffusion Forum 297-301 (April 2010): 1461–68. http://dx.doi.org/10.4028/www.scientific.net/ddf.297-301.1461.

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Kirkendall and Darken findings of the drift velocity since 1948 have stimulated progress in transport phenomenological models. The convection velocity (the Darken drift in solids), , and velocity of diffusion, , require definition and the method how the diffusion displacement is defined, computed and measured. The equation of volume continuity allowed the extension of the Darken method and avoids the rigid assumption of the constant molar concentration. In this work, we use the bi-velocity approach, i.e., the generalized Darken method, to model interdiffusion in two-dimensional diffusion multi

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