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Journal articles on the topic 'Boltzmann transport'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Magas, V. K., L. P. Csernai, E. Molnár, A. Nyiri, and K. Tamosiunas. "Modified Boltzmann Transport Equation." Nuclear Physics A 749 (March 2005): 202–5. http://dx.doi.org/10.1016/j.nuclphysa.2004.12.035.

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2

Bechouche, Philippe, Frédéric Poupaud, and Juan Soler. "Quantum Transport and Boltzmann Operators." Journal of Statistical Physics 122, no. 3 (January 20, 2006): 417–36. http://dx.doi.org/10.1007/s10955-005-8082-y.

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3

El-Nabulsi, Rami Ahmad. "The fractional Boltzmann transport equation." Computers & Mathematics with Applications 62, no. 3 (August 2011): 1568–75. http://dx.doi.org/10.1016/j.camwa.2011.03.040.

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4

Mužík, Juraj. "Lattice Boltzmann Method for Two-Dimensional Unsteady Incompressible Flow." Civil and Environmental Engineering 12, no. 2 (December 1, 2016): 122–27. http://dx.doi.org/10.1515/cee-2016-0017.

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Abstract A Lattice Boltzmann method is used to analyse incompressible fluid flow in a two-dimensional cavity and flow in the channel past cylindrical obstacle. The method solves the Boltzmann’s transport equation using simple computational grid - lattice. With the proper choice of the collision operator, the Boltzmann’s equation can be converted into incompressible Navier-Stokes equation. Lid-driven cavity benchmark case for various Reynolds numbers and flow past cylinder is presented in the article. The method produces stable solutions with results comparable to those in literature and is very easy to implement.

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5

Kinaci, Alper, Motohisa Kado, Daniel Rosenmann, Chen Ling, Gaohua Zhu, Debasish Banerjee, and Maria K. Y. Chan. "Electronic transport in VO2—Experimentally calibrated Boltzmann transport modeling." Applied Physics Letters 107, no. 26 (December 28, 2015): 262108. http://dx.doi.org/10.1063/1.4938555.

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6

Warren, Patrick B. "Electroviscous Transport Problems via Lattice-Boltzmann." International Journal of Modern Physics C 08, no. 04 (August 1997): 889–98. http://dx.doi.org/10.1142/s012918319700076x.

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The application of lattice-Boltzmann methods to electroviscous transport problems is discussed, generalising the moment propagation method for convective-diffusion problems. As a simple application, electro-osmotic flow in a parallel-sided slit is analysed, and the results compared favourably with available analytic solutions for this geometry.

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7

Dargaville, S., A. G. Buchan, R. P. Smedley-Stevenson, P. N. Smith, and C. C. Pain. "Scalable angular adaptivity for Boltzmann transport." Journal of Computational Physics 406 (April 2020): 109124. http://dx.doi.org/10.1016/j.jcp.2019.109124.

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8

Guo, Yangyu, and Moran Wang. "Lattice Boltzmann modeling of phonon transport." Journal of Computational Physics 315 (June 2016): 1–15. http://dx.doi.org/10.1016/j.jcp.2016.03.041.

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9

Chattopadhyay, Ankur, and Arvind Pattamatta. "A Comparative Study of Submicron Phonon Transport Using the Boltzmann Transport Equation and the Lattice Boltzmann Method." Numerical Heat Transfer, Part B: Fundamentals 66, no. 4 (August 25, 2014): 360–79. http://dx.doi.org/10.1080/10407790.2014.915683.

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10

Majorana, Armando. "A BGK model for charge transport in graphene." Communications in Applied and Industrial Mathematics 10, no. 1 (January 1, 2019): 153–61. http://dx.doi.org/10.1515/caim-2019-0018.

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Abstract The classical Boltzmann equation describes well temporal behaviour of a rarefied perfect gas. Modified kinetic equations have been proposed for studying the dynamics of different type of gases. An important example is the transport equation, which describes the charged particles flow, in the semi-classical regime, in electronic devices. In order to reduce the difficulties in solving the Boltzmann equation, simple expressions of a collision operator have been proposed to replace the standard Boltzmann integral term. These new equations are called kinetic models. The most popular and widely used kinetic model is the Bhatnagar-Gross-Krook (BGK) model. In this work we propose and analyse a BGK model for charge transport in graphene.

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11

OSSIG, GERALD, and FERDINAND SCHÜRRER. "ELECTRON TRANSPORT IN SILICON QUANTUM WIRE DEVICES." International Journal of Nanoscience 08, no. 06 (December 2009): 515–21. http://dx.doi.org/10.1142/s0219581x09006420.

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The simulation of the electron transport in silicon devices is usually based on a coupling of the semiclassical Boltzmann transport equation with the Poisson equation. We follow this successful approach and extend it with the effective mass Schrödinger equation leading to a Schrödinger–Poisson–Boltzmann system for the description of the electron transport in silicon quantum wire devices. Phonon-scattering is taken into account by phonon distributions in thermal equilibrium. In addition, we study the nonsteady state behavior of the electron transport in the considered device.

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12

Tervo, J., P. Kokkonen, M. Frank, and M. Herty. "On approximative linear Boltzmann transport equation for charged particles." Mathematical Models and Methods in Applied Sciences 28, no. 14 (December 30, 2018): 2905–39. http://dx.doi.org/10.1142/s0218202518500641.

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We present results on existence and positivity of solutions for a linear Boltzmann transport equation used for example in radiotherapy applications and more generally in charged particle transports. Therein, some differential cross-sections, that is, kernels of collision integral operators, may become hyper-singular. These collision operators need to be approximated for analytical and numerical treatments. Here, we present an approximation leading to pseudo-differential operators. The final approximation, for which the existence and positivity of solutions is shown, is an integro-partial differential operator which is known as Continuous Slowing Down Approximation (CSDA).

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13

Csernai, L. P., V. K. Magas, E. Molnár, A. Nyiri, and K. Tamosiunas. "Modified Boltzmann Transport Equation and Freeze Out." European Physical Journal A 25, no. 1 (July 2005): 65–73. http://dx.doi.org/10.1140/epja/i2004-10251-1.

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14

Adam, Shaffique, E. H. Hwang, and S. Das Sarma. "Scattering mechanisms and Boltzmann transport in graphene." Physica E: Low-dimensional Systems and Nanostructures 40, no. 5 (March 2008): 1022–25. http://dx.doi.org/10.1016/j.physe.2007.09.064.

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15

Zhou, Jian Guo. "A lattice Boltzmann method for solute transport." International Journal for Numerical Methods in Fluids 61, no. 8 (November 20, 2009): 848–63. http://dx.doi.org/10.1002/fld.1978.

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16

SINGH, DAVID J. "THERMOPOWER OF SnTe FROM BOLTZMANN TRANSPORT CALCULATIONS." Functional Materials Letters 03, no. 04 (December 2010): 223–26. http://dx.doi.org/10.1142/s1793604710001299.

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The doping and temperature dependent thermopower of SnTe is calculated from the first principles band structure using Boltzmann transport theory. We find that the p-type thermopower is inferior to PbTe consistent with experimental observations, but that the n-type thermopower is substantially more favorable.

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17

D'Azevedo, E. F., B. Messer, A. Mezzacappa, and M. Liebendörfer. "An ADI-Like Preconditioner for Boltzmann Transport." SIAM Journal on Scientific Computing 26, no. 3 (January 2005): 810–20. http://dx.doi.org/10.1137/s1064827503424013.

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18

Logvinov, G. N. "Approximate Boltzmann transport equation in bounded semiconductors." Soviet Physics Journal 34, no. 1 (January 1991): 48–52. http://dx.doi.org/10.1007/bf00914122.

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19

Biagi, S. F. "Accurate solution of the Boltzmann transport equation." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 273, no. 2-3 (December 1988): 533–35. http://dx.doi.org/10.1016/0168-9002(88)90050-2.

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20

Anisimova, I. V., and A. V. Ignat'ev. "On the Theory of Determining the Transport Characteristics of Gas Mixtures." Materials Science Forum 992 (May 2020): 823–27. http://dx.doi.org/10.4028/www.scientific.net/msf.992.823.

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The paper considers the identification of properties of real gases and creation of nanomaterials on the basis of molecular and kinetic theory of gases, namely the Boltzmann equation. The collision term of the Boltzmann equation is used in the algorithm for the identification of transport properties of media. The article analyses the uniform convergence of improper integrals in the collision term of the Boltzmann equation depending on the conditions for the connection between the kinetic and potential energy of interacting molecules. This analysis allows to soundly identify the transport coefficient in macro equations of heat and mass transfer.

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21

Banoo, Kausar, Jung-Hoon Rhew, Mark Lundstrom, Chi-Wang Shu, and Joseph W. Jerome. "Simulating Quasi-ballistic Transport in Si Nanotransistors." VLSI Design 13, no. 1-4 (January 1, 2001): 5–13. http://dx.doi.org/10.1155/2001/16023.

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Electron transport in model Si nanotransistors is examined by numerical simulation using a hierarchy of simulation methods, from full Boltzmann, to hydrodynamic, energy transport, and drift-diffusion. The on-current of a MOSFET is shown to be limited by transport across a low-field region about one mean-free-path long and located at the beginning of the channel. Commonly used transport models based on simplified solutions of the Boltzmann equation are shown to fail under such conditions. The cause for this failure is related to the neglect of the carriers' drift energy and to the collision-dominated assumptions typically used in the development of simplified transport models.

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22

Piasecka Belkhayat, A., and A. Korczak. "Modelling of transient heat transport in metal films using the interval lattice Boltzmann method." Bulletin of the Polish Academy of Sciences Technical Sciences 64, no. 3 (September 1, 2016): 599–606. http://dx.doi.org/10.1515/bpasts-2016-0067.

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Abstract In the paper a description of heat transfer in one-dimensional crystalline solids is presented. The lattice Boltzmann method based on Boltzmann transport equation is used to simulate the nanoscale heat transport in thin metal films. The coupled lattice Boltzmann equations for electrons and phonons are applied to analyze the heating process of thin metal films via laser pulse. Such approach in which the parameters appearing in the problem analyzed are treated as constant values is widely used, but in the paper the interval values of relaxation times and electron-phonon coupling factor are taken into account. The problem formulated has been solved by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic. In the final part of the paper the results of numerical computations are shown.

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23

Dujko, S., R. D. White, and Z. Lj Petrovic. "The determination of low energy electron-molecule cross sections via swarm analysis." Facta universitatis - series: Physics, Chemistry and Technology 6, no. 1 (2008): 57–69. http://dx.doi.org/10.2298/fupct0801057d.

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In this paper we discuss the swarm physics based techniques including the Boltzmann equation analysis and Monte Carlo simulation technique for determination of low energy electron-molecule cross sections. A multi term theory for solving the Boltzmann equation and Monte Carlo simulation code have been developed and used to investigate some critical aspects of electron transport in neutral gases under the varying configurations of electric and magnetic fields when non-conservative collisions are operative. These aspects include the validity of the two term approximation and the Legendre polynomial expansion procedure for solving the Boltzmann equation, treatment of non-conservative collisions, the effects of a magnetic field on the electron transport and nature and difference between transport data obtained under various experimental arrangements. It was found that these issues must be carefully considered before unfolding the cross sections from swarms transport data.

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24

Pan, Zhenyu, and Heng Wang. "A descriptive model of thermoelectric transport in a resonant system of PbSe doped with Tl." Journal of Materials Chemistry A 7, no. 20 (2019): 12859–68. http://dx.doi.org/10.1039/c9ta02670c.

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25

Nissimagoudar, Arun S., Aaditya Manjanath, and Abhishek K. Singh. "Diffusive nature of thermal transport in stanene." Physical Chemistry Chemical Physics 18, no. 21 (2016): 14257–63. http://dx.doi.org/10.1039/c5cp07957h.

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26

Qiu, T. Q., and C. L. Tien. "Heat Transfer Mechanisms During Short-Pulse Laser Heating of Metals." Journal of Heat Transfer 115, no. 4 (November 1, 1993): 835–41. http://dx.doi.org/10.1115/1.2911377.

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This work studies heat transfer mechanisms during ultrafast laser heating of metals from a microscopic point of view. The heating process is composed of three processes: the deposition of radiation energy on electrons, the transport of energy by electrons, and the heating of the material lattice through electron-lattice interactions. The Boltzmann transport equation is used to model the transport of electrons and electron-lattice interactions. The scattering term of the Boltzmann equation is evaluated from quantum mechanical considerations, which shows the different contributions of the elastic and inelastic electron-lattice scattering processes on energy transport. By solving the Boltzmann equation, a hyperbolic two-step radiation heating model is rigorously established. It reveals the hyperbolic nature of energy flux carried by electrons and the nonequilibrium between electrons and the lattice during fast heating processes. Predictions from the current model agree with available experimental data during subpicosecond laser heating.

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27

Escobar, Rodrigo, Brian Smith, and Cristina Amon. "Lattice Boltzmann Modeling of Subcontinuum Energy Transport in Crystalline and Amorphous Microelectronic Devices." Journal of Electronic Packaging 128, no. 2 (January 19, 2006): 115–24. http://dx.doi.org/10.1115/1.2188951.

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Numerical simulations of time-dependent energy transport in semiconductor thin films are performed using the lattice Boltzmann method applied to phonon transport. The discrete lattice Boltzmann method is derived from the continuous Boltzmann transport equation assuming first gray dispersion and then nonlinear, frequency-dependent phonon dispersion for acoustic and optical phonons. Results indicate that a transition from diffusive to ballistic energy transport is found as the characteristic length of the system becomes comparable to the phonon mean free path. The methodology is used in representative microelectronics applications covering both crystalline and amorphous materials including silicon thin films and nanoporous silica dielectrics. Size-dependent thermal conductivity values are also computed based on steady-state temperature distributions obtained from the numerical models. For each case, reducing feature size into the subcontinuum regime decreases the thermal conductivity when compared to bulk values. Overall, simulations that consider phonon dispersion yield results more consistent with experimental correlations.

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28

Bobylev, Alexander, and Raffaele Esposito. "Transport coefficients in the $2$-dimensional Boltzmann equation." Kinetic & Related Models 6, no. 4 (2013): 789–800. http://dx.doi.org/10.3934/krm.2013.6.789.

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29

Cepellotti, Andrea, and Nicola Marzari. "Boltzmann Transport in Nanostructures as a Friction Effect." Nano Letters 17, no. 8 (July 5, 2017): 4675–82. http://dx.doi.org/10.1021/acs.nanolett.7b01202.

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30

Luo, Tan, Yayun He, Xin-Nian Wang, and Yan Zhu. "Jet propagation within a Linearized Boltzmann Transport model." Nuclear Physics A 932 (December 2014): 99–104. http://dx.doi.org/10.1016/j.nuclphysa.2014.09.052.

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31

Zhang, Xiaoxian, and Li Ren. "Lattice Boltzmann model for agrochemical transport in soils." Journal of Contaminant Hydrology 67, no. 1-4 (December 2003): 27–42. http://dx.doi.org/10.1016/s0169-7722(03)00086-x.

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32

Ni, Chunjian, and Jayathi Y. Murthy. "Parallel Computation of the Phonon Boltzmann Transport Equation." Numerical Heat Transfer, Part B: Fundamentals 55, no. 6 (May 5, 2009): 435–56. http://dx.doi.org/10.1080/10407780902864771.

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33

Tamosiunas, K., L. P. Csernai, V. K. Magas, E. Molnár, and Á. Nyíri. "Modelling of Boltzmann transport equation for freeze-out." Journal of Physics G: Nuclear and Particle Physics 31, no. 6 (May 23, 2005): S1001—S1004. http://dx.doi.org/10.1088/0954-3899/31/6/046.

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34

Connington, Kevin, Qinjun Kang, Hari Viswanathan, Amr Abdel-Fattah, and Shiyi Chen. "Peristaltic particle transport using the lattice Boltzmann method." Physics of Fluids 21, no. 5 (May 2009): 053301. http://dx.doi.org/10.1063/1.3111782.

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35

ARLOTTI, LUISA, and GIOVANNI FROSALI. "RUNAWAY PARTICLES FOR A BOLTZMANN-LIKE TRANSPORT EQUATION." Mathematical Models and Methods in Applied Sciences 02, no. 02 (June 1992): 203–21. http://dx.doi.org/10.1142/s0218202592000132.

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In this paper we consider the linear Boltzmann equation which describes the evolution of one species of charged particles, electrons or ions, in a single component neutral gas. Collisions among charged particles are neglected and the acceleration field is dependent on time. We investigate a necessary condition on the behavior of both collision frequency and acceleration field so that the time-dependent solution relaxes towards a steady-state. Under suitable conditions on the acceleration field, an asymptotic behavior similar to a travelling wave in velocity space is pointed out. Various examples with different behaviors of the acceleration field for large times are given, in the simple context of the BGK model.

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36

Nabovati, Aydin, Daniel P. Sellan, and Cristina H. Amon. "On the lattice Boltzmann method for phonon transport." Journal of Computational Physics 230, no. 15 (July 2011): 5864–76. http://dx.doi.org/10.1016/j.jcp.2011.03.061.

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37

Dargaville, S., A. G. Buchan, R. P. Smedley-Stevenson, P. N. Smith, and C. C. Pain. "Angular adaptivity with spherical harmonics for Boltzmann transport." Journal of Computational Physics 397 (November 2019): 108846. http://dx.doi.org/10.1016/j.jcp.2019.07.044.

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38

Baker, C. M. J., A. G. Buchan, C. C. Pain, P. E. Farrell, M. D. Eaton, and P. Warner. "Multimesh anisotropic adaptivity for the Boltzmann transport equation." Annals of Nuclear Energy 53 (March 2013): 411–26. http://dx.doi.org/10.1016/j.anucene.2012.07.023.

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39

Li, Shu-Nan, and Bing-Yang Cao. "Generalized Boltzmann transport theory for relaxational heat conduction." International Journal of Heat and Mass Transfer 173 (July 2021): 121225. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2021.121225.

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40

Mansoor, Saad Bin, and Bekir Sami Yilbas. "Phonon transport in aluminum and silicon film pair: laser short-pulse irradiation at aluminum film surface." Canadian Journal of Physics 92, no. 12 (December 2014): 1614–22. http://dx.doi.org/10.1139/cjp-2013-0710.

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Phonon transport in paired aluminum and silicon thin films is considered under laser short-pulse irradiation at the aluminum film surface. The Boltzmann equation is incorporated to formulate energy transport in the films. To include a volumetric source resembling laser irradiation in the aluminum film, the Boltzmann equation is modified. Thermal boundary resistance is located at the interface of the film pair. An equivalent equilibrium temperature is introduced to assess the thermal resistance of the film during the laser heating process. The phonon temperature obtained from solution of the Boltzmann equation is compared with the findings of the two-temperature model. It is found that phonon temperature obtained from the solution of the Boltzmann equation is lower than that corresponding to the two-temperature model, which is particularly true in the surface region of the aluminum film. Phonon temperature increases gradually while, early on, the electron temperature rises and decays sharply in the surface region of the aluminum film.

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41

Maassen, Jesse, and Mark Lundstrom. "A simple Boltzmann transport equation for ballistic to diffusive transient heat transport." Journal of Applied Physics 117, no. 13 (April 7, 2015): 135102. http://dx.doi.org/10.1063/1.4916245.

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42

Li, Shu-Nan, and Bing-Yang Cao. "Fractional Boltzmann transport equation for anomalous heat transport and divergent thermal conductivity." International Journal of Heat and Mass Transfer 137 (July 2019): 84–89. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2019.03.120.

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43

Bin Mansoor, Saad, and Bekir Sami Yilbas. "Nonequilibrium cross-plane energy transport in aluminum–silicon–aluminum wafer." International Journal of Modern Physics B 29, no. 17 (June 23, 2015): 1550112. http://dx.doi.org/10.1142/s021797921550112x.

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Transient phonon transport across cross-planes of aluminum–silicon–aluminum combined films is investigated and the Boltzmann transport equation is incorporated to formulate the energy transport in the combined films. Since electrons and phonons thermally separate in the thin aluminum film during heating, the Boltzmann equation is used separately in the electron and lattice subsystems to account for the energy transport in the aluminum film. Electron–phonon coupling is incorporated for the energy exchange between electron and lattice subsystems in the film. Thermal boundary resistance (TBR) is introduced at the interfaces of the silicon–aluminum films. In order to examine the ballistic contribution of phonons on the phonon intensity distribution in the silicon film, frequency-dependent solution of the Boltzmann equation is used in the silicon film and the film thickness is varied to investigate the size effect on the thermal conductivity in the film. It is found that equivalent equilibrium temperature of phonons remains high at silicon–aluminum interface because of the ballistic contribution of the phonons. Equivalent equilibrium temperature for the electron subsystem becomes higher than that corresponding to phonon temperature at the aluminum–silicon interface.

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44

Tsunematsu, Kae, Bastien Chopard, Jean-Luc Falcone, and Costanza Bonadonna. "Comparison of Two Advection-Diffusion Methods for Tephra Transport in Volcanic Eruptions." Communications in Computational Physics 9, no. 5 (May 2011): 1323–34. http://dx.doi.org/10.4208/cicp.311009.191110s.

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AbstractIn order to model the dispersal of volcanic particles in the atmosphere and their deposition on the ground, one has to simulate an advection-diffusion-sedimentation process on a large spatial area. Here we compare a Lattice Boltzmann and a Cellular Automata approach. Our results show that for high Peclet regimes, the cellular automata model produce results that are as accurate as the lattice Boltzmann model and is computationally more effective.

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45

Fan, D. D., H. J. Liu, L. Cheng, J. Zhang, P. H. Jiang, J. Wei, J. H. Liang, and J. Shi. "Understanding the electronic and phonon transport properties of a thermoelectric material BiCuSeO: a first-principles study." Physical Chemistry Chemical Physics 19, no. 20 (2017): 12913–20. http://dx.doi.org/10.1039/c7cp01755c.

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Using the first-principles pseudopotential method and Boltzmann transport theory, we give a comprehensive understanding of the electronic and phonon transport properties of a thermoelectric material BiCuSeO.

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46

HERTY, MICHAEL, and ALBERT N. SANDJO. "ON OPTIMAL TREATMENT PLANNING IN RADIOTHERAPY GOVERNED BY TRANSPORT EQUATIONS." Mathematical Models and Methods in Applied Sciences 21, no. 02 (February 2011): 345–59. http://dx.doi.org/10.1142/s0218202511005076.

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This paper is devoted to the study of optimal control problems arising in radiotherapy planning problems. The distribution of the radiative intensity in the patient's body is described by a Boltzmann-integro differential equation with position, angular and energy-dependent scattering and absorption coefficients and an energy loss term. The presented discussion is the last in the series of Refs. 13 and 14 discussing radiotherapy problems using the Boltzmann transport equation. We show the existence, uniqueness and regularity of an optimal control using evolution group theory. We extend existing results in order to treat the important case of energy-dependent scattering coefficients.

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47

Magnus, W., F. Brosens, and B. Sorée. "Time dependent transport in 1D micro- and nanostructures: Solving the Boltzmann and Wigner–Boltzmann equations." Journal of Physics: Conference Series 193 (November 1, 2009): 012004. http://dx.doi.org/10.1088/1742-6596/193/1/012004.

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48

Succi, S., and P. Vergari. "A Lattice Boltzmann Scheme for Semiconductor Dynamics." VLSI Design 6, no. 1-4 (January 1, 1998): 137–40. http://dx.doi.org/10.1155/1998/54940.

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49

Zhang, Raoyang, Hongli Fan, and Hudong Chen. "A lattice Boltzmann approach for solving scalar transport equations." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1944 (June 13, 2011): 2264–73. http://dx.doi.org/10.1098/rsta.2011.0019.

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A lattice Boltzmann (LB) approach is presented for solving scalar transport equations. In addition to the standard LB for fluid flow, a second set of distribution functions is introduced for transport scalars. This LB approach fully recovers the macroscopic scalar transport equation satisfying an exact conservation law. It is numerically stable and scalar diffusivity does not have a Courant–Friedrichs–Lewy-like stability upper limit. With a sufficient lattice isotropy, numerical solutions are independent of grid orientations. A generalized boundary condition for scalars on arbitrary geometry is also realized by a precise control of surface scalar flux. Numerical results of various benchmarks are presented to demonstrate the accuracy, efficiency and robustness of the approach.

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50

Reshak, A. H. "Transport properties of the n-type SrTiO3/LaAlO3 interface." RSC Advances 6, no. 95 (2016): 92887–95. http://dx.doi.org/10.1039/c6ra21929b.

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