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In this note, we propose the first mathematical derivation of a macroscopic Baer-Nunziato type system for compressible two-phase flows allowing two pressure state laws depending on the different phases. By doing so, we extend the results…

Analysis of PDEs · Mathematics 2020-12-14 Didier Bresch , Cosmin Burtea , Frédéric Lagoutière

We study spin-dependent heat transport in quantum gases, focusing on transport phenomena related to pure spin currents and spin-dependent temperatures. Using the Boltzmann equation, we compute the coupled spin and heat transport…

Quantum Gases · Physics 2015-04-08 Clement H. Wong , H. T. C. Stoof , R. A. Duine

We introduce a major theoretical generalization of existing techniques for handling the three-body problem that accurately describes the interactions among four fermionic atoms. Application to a two-component Fermi gas accurately determines…

Atomic Physics · Physics 2009-11-13 J. P. D'Incao , Seth T. Rittenhouse , N. P. Mehta , Chris H. Greene

A statistical approach to the description of the thermodynamic properties of the Fermi particle system occupying a half-space over a plane of finite size in a uniform external field is proposed. The number of particles per unit area is…

Statistical Mechanics · Physics 2025-06-17 Yu. M. Poluektov , A. A. Soroka

A finite-time fluctuation theorem for the diffusion-influenced surface reaction A <=> B is investigated for spherical and Janus catalytic particles. The finite-time rates and thermodynamic force are analytically calculated by solving…

Statistical Mechanics · Physics 2018-12-24 Pierre Gaspard , Patrick Grosfils , Mu-Jie Huang , Raymond Kapral

We explicitly calculate the density-density response function with conserving vertex corrections for anisotropic multiband systems in the presence of impurities including long-range disorder. The direction-dependence of the vertex…

Mesoscale and Nanoscale Physics · Physics 2022-09-29 Jeonghyeon Suh , Sunghoon Kim , E. H. Hwang , Hongki Min

In this work we discuss extensions of the pioneering analysis by Dzyaloshinskii and Larkin of correlation functions for one-dimensional Fermi systems, focusing on the effects of quasiparticle relaxation enabled by a nonlinear dispersion.…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Alex Levchenko , Tobias Micklitz

We investigate the long-term relaxation of one-dimensional (${1D}$) self-gravitating systems, using both kinetic theory and $N$-body simulations. We consider thermal and Plummer equilibria, with and without collective effects. All…

Statistical Mechanics · Physics 2023-08-11 Mathieu Roule , Jean-Baptiste Fouvry , Christophe Pichon , Pierre-Henri Chavanis

Usually, the relaxation times of a gas are estimated in the frame of the Boltzmann equation. In this paper, instead, we deal with the relaxation problem in the frame of the dynamical theory of Hamiltonian systems, in which the definition…

Mathematical Physics · Physics 2011-12-26 A. M. Maiocchi , A. Carati

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…

Statistical Mechanics · Physics 2019-11-13 Paul E. Lammert

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…

Statistical Mechanics · Physics 2020-07-15 De-yu Zhong , Guang-qian Wang , Tie-jian Li , Ming-xi Zhang , You Xia

We consider a quasiclassical model that allows us to simulate the process of spin diffusion and relaxation in the presence of a highly nonuniform magnetic field. The energy of the slow relaxing spins flows to the fast relaxing spins due to…

Materials Science · Physics 2009-11-10 G. P. Berman , B. M. Chernobrod , V. N. Gorshkov , V. I. Tsifrinovich

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…

Statistical Mechanics · Physics 2017-10-13 Erik Aurell , Stefano Bo

We present a precise microscopic description of the limiting step for low temperature shape relaxation of two dimensional islands in which activated diffusion of particles along the boundary is the only mechanism of transport allowed. In…

Materials Science · Physics 2009-10-31 Nicolas Combe , Hernán Larralde

For a large class of lattice models we study the thermodynamic factor, $\Phi$, of the collective surface diffusion coefficient near a first-order phase transition between two phases at low temperatures. In a two-phase regime its dependence…

Statistical Mechanics · Physics 2015-05-27 Igor Medved' , Anton Trník

In this paper, we discuss dissipation process of the binary mixture gas in the thermally relativistic flow \textcolor{red}{by focusing on the characteristics of the diffusion flux}. As an analytical object, we consider the relativistic…

Fluid Dynamics · Physics 2016-05-25 Ryosuke Yano

We propose a simple quantum mechanical model describing the time dependent diffusion current between two fermion reservoirs that were initially disconnected and characterized by different densities or chemical potentials. The exact,…

Statistical Mechanics · Physics 2012-12-07 Wim Magnus , Kwinten Nelissen

We study heat transport in a gas of one-dimensional fermions in the presence of a small temperature gradient. At temperatures well below the Fermi energy there are two types of relaxation processes in this system, with dramatically…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 K. A. Matveev , Zoran Ristivojevic

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the…

Quantum Gases · Physics 2010-04-20 J. -N. Zhang , S. Yi

Understanding mechanisms for energy dissipation from nanoparticles in contact with large samples is a central problem in describing friction microscopically. Calculation of the reduced density matrix appears to be the most suitable metho to…

Condensed Matter · Physics 2015-06-25 A. Ozpineci , D. M. Leitner , S. Ciraci