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We present a study on the dynamics of a system consisting of a pair of hardcore particles diffusing with different rates. We solved the drift-diffusion equation for this model in the case when one particle, labeled F, drifts and diffuses…

统计力学 · 物理学 2010-12-14 S. L. Narasimhan , A. Baumgaertner

Exotic nondiffusive heat transfer regimes such as the second sound, where heat propagates as a damped wave at speeds comparable to those of mechanical disturbances, often occur at cryogenic temperatures (T) and nanosecond timescales in…

材料科学 · 物理学 2025-02-04 Nikhil Malviya , Navaneetha K. Ravichandran

The motion of energetic particles in magnetic turbulence across a mean magnetic field is explored analytically. The approach presented here allows for a full time-dependent description of the transport, including compound sub-diffusion. The…

等离子体物理 · 物理学 2017-05-24 Andreas Shalchi

This paper develops a modified version of the Boltzmann equation for micro-scale particulate flow with capture and diffusion that describes the colloidal-suspension-nano transport in porous media. An equivalent sink term is introduced into…

流体动力学 · 物理学 2020-01-23 Oleg Dinariev , Afonso Rego , Pavel Bedrikovetsky

Although the Boltzmann transport equation (BTE) has been exploited to investigate non-diffusive phonon transport for decades, due to the challenges of solving this integro-differential equation, most standard techniques for thermal…

材料科学 · 物理学 2024-08-13 Tao Li , Bo Jiang , Zhen Chen

Using a semiclassical Boltzmann transport equation (BTE) approach, we derive analytical expressions for electric and thermoelectric transport coefficients of graphene in the presence and absence of a magnetic field. Scattering due to…

材料科学 · 物理学 2017-04-26 Arpan Kundu , Majed Alrefae , Timothy S. Fisher

A semi-implicit Lax-Wendroff kinetic scheme is developed for hydrodynamic phonon transport in solid materials based on the Boltzmann transport equation under the double relaxation time approximation, in which both the normal and resistive…

计算物理 · 物理学 2026-01-30 Shijie Li , Hong Liang , Songze Chen , Chuang Zhang

We derive an effective d-dimensional Hamiltonian for a system of hard-core-bosons coupled to optical phonons in a lattice. Away from half-filling, we show that the presence of next-nearest-neighbor hopping in the effective Hamiltonian leads…

强关联电子 · 物理学 2008-12-11 Sanjoy Datta , Sudhakar Yarlagadda

We investigate to what extent one can use a thermodynamic description of turbulent flow as a source of stochastic kinetic energy for three-dimensional self-assembly of magnetically interacting macroscopic particles. We confirm that the…

We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium…

统计力学 · 物理学 2021-12-22 Junaid Bhat , Gaëtan Cane , Cédric Bernardin , Abhishek Dhar

The ab initio model for heat propagation is the phonon transport equation, a Boltzmann-like kinetic equation. When two materials are put side by side, the heat that propagates from one material to the other experiences thermal boundary…

数值分析 · 数学 2025-10-13 Irene M Gamba , Qin Li , Anjali Nair

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…

介观与纳米尺度物理 · 物理学 2015-06-22 Jesse Maassen , Mark Lundstrom

We consider the conductivity tensor for composite fermions in a close to half-filled Landau band in the temperature regime where the scattering off the potential and the trapped gauge field of random impurities dominates. The Boltzmann…

介观与纳米尺度物理 · 物理学 2009-10-30 A. D. Mirlin , P. Woelfle

We use the Boltzmann transport theory in the relaxation time approximation to describe the thermal transport of spin waves in a ferromagnet. By treating spin waves as magnon excitations we are able to compute analytically and numerically…

材料科学 · 物理学 2018-09-05 Vittorio Basso , Elena Ferraro , Marco Piazzi

Nanostructured semiconducting materials are promising candidates for thermoelectrics due to their potential to suppress phonon transport while preserving electrical properties. Modeling phonon-boundary scattering in complex geometries is…

材料科学 · 物理学 2017-10-02 Giuseppe Romano , Alexie M. Kolpak

We investigate wave propagation and energy transport in magnetic elements, which are representatives of small scale magnetic flux concentrations in the magnetic network on the Sun. This is a continuation of earlier work by Hasan et al.…

太阳与恒星天体物理 · 物理学 2015-05-14 G. Vigeesh , S. S. Hasan , O. Steiner

This paper is devoted to diffusion limits of linear Boltzmann equations. When the equilibrium distribution function is Maxwellian distribution, it is well known that for an appropriate time scale, the small mean free path limit gives rise…

偏微分方程分析 · 数学 2014-01-15 Antoine Mellet , Stéphane Mischler , Clément Mouhot

A model of two-species bosons moving on the sites of a lattice is studied at nonzero temperature, focusing on magnetic order and superfluid-insulator transitions. Firstly, Landau theory is used to find the general structure of the phase…

统计力学 · 物理学 2009-05-10 Stephen Powell

This paper is devoted to the hydrodynamic limit for the linear Boltzmann equation, in the case of a heavy tail equilibrium and a cross section which depends on the space variable and which degenerates for large velocities, without symmetry…

偏微分方程分析 · 数学 2025-03-13 Dahmane Dechicha

Using the transfer matrix in the angular-momentum space we investigate the impact of trigonal warping on magnetotransport and scaling properties of a ballistic bilayer graphene in the Corbino geometry. Although the conductivity at the…

介观与纳米尺度物理 · 物理学 2016-02-15 Grzegorz Rut , Adam Rycerz