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Electrons are the carriers of heat and electricity in materials, and exhibit abundant transport phenomena such as ballistic, diffusive, and hydrodynamic behaviors in systems with different sizes. The electron Boltzmann transport equation…

Computational Physics · Physics 2023-11-06 Meng Lian , Chuang Zhang , Zhaoli Guo , Jing-Tao Lü

The paper considers a coupled system of linear Boltzmann transport equations (BTE), and its Continuous Slowing Down Approximation (CSDA). This system can be used to model the relevant transport of particles used e.g. in dose calculation in…

Optimization and Control · Mathematics 2018-04-06 J. Tervo , P. Kokkonen , M. Frank , M. Herty

We compute the shear and bulk viscosities, as well as the thermal conductivity of an ultrarelativistic fluid obeying the relativistic Boltzmann equation in 2+1 space-time dimensions. The relativistic Boltzmann equation is taken in the…

Statistical Mechanics · Physics 2015-06-12 M. Mendoza , I. Karlin , S. Succi , H. J. Herrmann

Materials in which heat and entropy can be transmitted by directed ballistic pulses can trigger new approaches to energy transduction in solids. We predict that a ballistic energy transfer mode, with heat propagation governed by a wave…

Mesoscale and Nanoscale Physics · Physics 2013-06-21 Trung V. Phan , Justin C. W. Song , Leonid S. Levitov

We report computational uncertainties in Boltzmann Transport Equation (BTE)-based lattice thermal conductivity prediction of 50 diverse semiconductors from the use of different BTE solvers (ShengBTE, Phono3Py, and in-house code) and…

Materials Science · Physics 2025-09-19 Yagyank Srivastava , Amey G. Gokhale , Ankit Jain

Using a theory which treats on equal footing transport of excited electrons and electron-phonon scattering, we are able to explain the temperature dependence of the relaxation time in Cu as recently observed by Petek, Nagano, and Ogawa. We…

Condensed Matter · Physics 2007-05-23 R. Knorren , G. Bouzerar , K. H. Bennemann

A framework for relativistic thermodynamics and statistical physics is built by first exploiting the symmetries between energy and momentum in the derivation of the Boltzmann distribution, then using Einstein's energy-momentum relationship…

Statistical Mechanics · Physics 2020-07-09 Alexander Taskov

The Radiative Transfer Equation (RTE) is essential for solving the spatial distribution of light energy. It plays a crucial role in the link budget analysis of Underwater Wireless Optical Communication (UWOC). However, due to its complex…

Atmospheric and Oceanic Physics · Physics 2025-01-23 YunLong Li , Xiang Yi , ZhuoQi Chen , Peng Yue

Fluid dynamics accompanies with the entropy production thus increases the local temperature, which plays an important role in charged systems such as the ion channel in biological environment and electrodiffusion in capacitors/batteries. In…

Fluid Dynamics · Physics 2017-11-09 Pei Liu , Simo Wu , Chun Liu

In this paper, we propose a novel neural network approach, termed DeepRTE, to address the steady-state Radiative Transfer Equation (RTE). The RTE is a differential-integral equation that governs the propagation of radiation through a…

Machine Learning · Computer Science 2025-10-30 Yekun Zhu , Min Tang , Zheng Ma

We present a technique for an exact solution of the linearized Boltzmann equation for the electrical and thermal transport coefficients in metals in the low-temperature limit. This renders unnecessary an uncontrolled approximation that has…

Statistical Mechanics · Physics 2021-01-04 J. Amarel , D. Belitz , T. R. Kirkpatrick

This paper models the classical diffusion of a main particle through a heatbath by means of a pre-limit microscopic representation of its drifted momentum and energy transfers at collision times. The collision point linear interpolated path…

Mathematical Physics · Physics 2007-05-23 Johan Beumee

We introduce a new code for computing time-dependent continuum radiative transfer and non-equilibrium ionization states in static density fields with periodic boundaries. Our code solves the moments of the radiative transfer equation,…

Astrophysics · Physics 2009-11-13 K. Finlator , F. Ozel , R. Dave

We study the long time behavior of light particles, e.g. an electron swarm in which Coulomb interactions are unimportant, subjected to an external field and elastic collisions with an inert neutral gas. The time evolution of the velocity…

Plasma Physics · Physics 2009-10-31 J. L. Lebowitz , A. Rokhlenko

We develop a Born-Oppenheimer type formalism for the description of quantum thermal transport along hybrid nanoscale objects. Our formalism is suitable for treating heat transfer in the off-resonant regime, where e.g., the relevant…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Lian-Ao Wu , Dvira Segal

F\"orster's theory of resonant energy transfer (FRET) predicts the strength and range of exciton transport between separated molecules. We introduce an exactly soluble model for FRET which reproduces F\"orster's results as well as…

Mesoscale and Nanoscale Physics · Physics 2012-03-09 C. King , B. Barbiellini , D. Moser , V. Renugopalakrishnan

We describe a new algorithm to solve the time dependent, frequency integrated radiation transport (RT) equation implicitly, which is coupled to an explicit solver for equations of magnetohydrodynamics (MHD) using {\sf Athena++}. The…

Instrumentation and Methods for Astrophysics · Physics 2021-04-07 Yan-Fei Jiang

It is generally understood that Fourier's law does not describe ballistic phonon transport, which is important when the length of a material is similar to the phonon mean-free-path. Using an approach adapted from electron transport, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Jesse Maassen , Mark Lundstrom

Experimental and numerical data for the heat transfer as a function of the Rayleigh-, Prandtl-, and Rossby numbers in turbulent rotating Rayleigh-Benard convection are presented. For relatively small $Ra ~ 10^8$ and large Pr modest rotation…

The clearing up of a wave nature of the energy and mass transfer phenomena in classical expressions of the molecular-kinetic theory has allowed to find a quantitative measure of intensity of processes of a thermal conductivity, viscosity…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik