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An expression for the two-particle relaxation time of collective excitations on a distorted Fermi surface in the diffusion approach to kinetic theory is obtained. The general case of momentum-dependent diffusion and drift coefficients is…

核理论 · 物理学 2021-11-01 S. V. Lukyanov

We suggest the diffuse approach to the relaxation processes within the kinetic theory for the Wigner distribution function. The diffusion and drift coefficients are evaluated taking into consideration the interparticle collisions on the…

核理论 · 物理学 2015-04-02 V. M. Kolomietz , S. V. Lukyanov

The time evolution of the distribution function for a particle-hole excitation in a Fermi system was calculated using the direct numerical solution of a nonlinear diffusion equation in momentum space. A phenomenological expression for…

核理论 · 物理学 2025-02-13 Sergiy V. Lukyanov

We develop a practical method of computing the stationary drift velocity V and the diffusion coefficient D of a particle (or a few particles) in a periodic system with arbitrary transition rates. We solve this problem both in a physically…

统计力学 · 物理学 2009-10-31 Zbigniew Koza

The temperature-dependence of dynamical properties (e.g., the asymptotic diffusion coefficient and the sub-diffusive exponent) are calculated for charges and excitons in one-dimensional systems subject to static and dynamic disorder. These…

化学物理 · 物理学 2025-12-02 William Barford

We calculate the drag and diffusion coefficients in low temperature QED plasma and go beyond the leading order approximation. The non-Fermi-liquid behavior of these coefficients are clearly revealed. We observe that the subleading…

高能物理 - 唯象学 · 物理学 2015-05-28 Sreemoyee Sarkar , Abhee K. Dutt-Mazumder

One key issue in the probability density function (PDF) approach for disperse two-phase turbulent flows is to close the diffusion term in the phase space. This study aimed to derive a kinetic equation for particle dispersion in turbulent…

统计力学 · 物理学 2020-07-15 De-yu Zhong , Guang-qian Wang , Tie-jian Li , Ming-xi Zhang , You Xia

The time evolution of the Wigner distribution function for a single-particle excitation in a Fermi system was studied within the framework of the diffusion approximation of kinetic theory by numerically solving a nonlinear diffusion…

核理论 · 物理学 2026-03-12 Sergiy V. Lukyanov

With neutron star applications in mind, we developed a theory of diffusion in mixtures of superfluid, strongly interacting Fermi liquids. By employing the Landau theory of Fermi liquids, we determined matrices that relate the currents of…

高能天体物理现象 · 物理学 2024-01-03 Oleg A. Goglichidze , Mikhail E. Gusakov

Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For processes lacking such scaling the corresponding description may be given by…

统计力学 · 物理学 2007-05-23 I. M. Sokolov , A. V. Chechkin , J. Klafter

A particle with internal unobserved states diffusing in a force field will generally display effective advection-diffusion. The drift velocity is proportional to the mobility averaged over the internal states, or effective mobility, while…

统计力学 · 物理学 2017-10-13 Erik Aurell , Stefano Bo

The problem of eliminating fast-relaxing variables to obtain an effective drift-diffusion process in position is solved in a uniform and straightforward way for models with velocity a function jointly of position and fast variables. A more…

统计力学 · 物理学 2019-11-13 Paul E. Lammert

The temperature-dependent diffusion coefficients of interstitial helium atom in $\alpha$-Ti are predicted using the transition state theory. The microscopic parameters in the pre-factor and activation energy of the impurity diffusion…

材料科学 · 物理学 2015-06-16 Yong Lu , Fawei Zheng , Ping Zhang

In these proceedings, we compute the heavy quark momentum diffusion coefficient using QCD effective kinetic theory for a plasma going through the bottom-up thermalization scenario until approximate hydrodynamization. This transport…

高能物理 - 唯象学 · 物理学 2025-06-25 Kirill Boguslavski , Aleksi Kurkela , Tuomas Lappi , Florian Lindenbauer , Jarkko Peuron

The finite duration of collisions appear as time-nonlocality in the kinetic equation. Analyzing the corresponding quantum kinetic equation for dense interacting Fermi systems a delay differential equation is obtained which combines time…

核理论 · 物理学 2016-09-08 Klaus Morawetz

In this paper we study the diffusion approximation of a swarming model given by a system of interacting Langevin equations with nonlinear friction. The diffusion approximation requires the calculation of the drift and diffusion coefficients…

数值分析 · 数学 2015-05-08 V. Bonnaillie-Noël , J. A. Carrillo , T. Goudon , G. A. Pavliotis

-We have performed a new efficient method to calculate numerically the transport coefficients at high temperature. The collision theory was treated to study singularities that occur when evaluating the collision cross section. The transport…

等离子体物理 · 物理学 2015-01-30 Ali Mahfouf , Pascal André , Géraldine Faure

We investigate dynamical properties of a one-component Fermi gas with dipole-dipole interaction between particles. Using a variational function based on the Thomas-Fermi density distribution in phase space representation, the total energy…

其他凝聚态物理 · 物理学 2011-04-12 T Sogo , L He , T Miyakawa , S Yi , H Lu , H Pu

The thermodynamic properties of two-component Fermi gases with divergent scattering length is investigated and the transition temperature for the emergence of a stable dimeric gas is obtained by a simple theoretical model where the unique…

统计力学 · 物理学 2007-05-23 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the interface between two immiscible fluids are constructed for the case of a small viscosity ratio between the fluid phases. The…

软凝聚态物质 · 物理学 2016-04-20 Aaron Dörr , Steffen Hardt
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