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Fractional kinetic equations employ non-integer calculus to model anomalous relaxation and diffusion in many systems. While this approach is well explored, it so far failed to describe an important class of transport in disordered systems.…

Statistical Mechanics · Physics 2021-01-04 Wanli Wang , Eli Barkai

This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

Soft Condensed Matter · Physics 2026-03-27 David González Méndez , Vicente Garzó

In the previous studies, from the Fokker-Planck equation the general spatial transport equation, which contains an infinite number of spatial derivative terms $T_n=\kappa_{nz}\partial^n{F}/ \partial{z^n}$ with $n=1, 2, 3, \cdots$, was…

Solar and Stellar Astrophysics · Physics 2023-07-19 J. F. Wang , G. Qin

Detailed calculations of the transport coefficients of a recently introduced particle-based model for fluid dynamics with a non-ideal equation of state are presented. Excluded volume interactions are modeled by means of biased stochastic…

Soft Condensed Matter · Physics 2010-12-06 Thomas Ihle

In recent years, nonlinear transport phenomena have garnered significant interest in both theoretical explorations and experiments. In this work, we utilize the semi-classical wave packet theory to calculate disorder-induced second-order…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Ying-Fei Zhang , Zhi-Fan Zhang , Hua Jiang , Zhen-Gang Zhu , Gang Su

A generalised phase-space kinetic Boltzmann equation for highly non-equilibrium charged particle transport via localised and delocalised states is used to develop continuity, momentum and energy balance equations, accounting explicitly for…

Statistical Mechanics · Physics 2017-04-19 Peter W. Stokes , Bronson Philippa , Daniel Cocks , Ronald D. White

We study the transport properties of an impurity in a sheared granular gas, in the framework of the Boltzmann equation for inelastic Maxwell models. We investigate here the impact of a nonequilibrium phase transition found in such systems,…

Statistical Mechanics · Physics 2016-07-15 Vicente Garzó , Emmanuel Trizac

We consider the junction of multiple one-dimensional systems and study how conserved currents transport at the junction. To characterize the transport process, we introduce reflection/transmission coefficients by applying boundary conformal…

High Energy Physics - Theory · Physics 2015-07-30 Taro Kimura , Masaki Murata

A kinetic equation which combines the quasiparticle drift of Landau's equation with a dissipation governed by a nonlocal and noninstant scattering integral in the spirit of Snider's equation for gases is derived. Consequent balance…

Plasma Physics · Physics 2015-06-26 K. Morawetz , V. Spička , P. Lipavský

A diffusion's induced transport is defined for a linear model of a Fokker-Plank equation under periodic boundary conditions in one-dimensional geometry. The flow is generated by a diffusion and a periodic deriving force induced by a…

Mathematical Physics · Physics 2008-09-04 Gershon Wolansky

Non-local models of stellar convection can account for mixing effects in regions adjacent to convectively unstable layers and for changes to the mean temperature structure caused by free, buoyancy driven convection. The physical…

Solar and Stellar Astrophysics · Physics 2026-04-15 F. Kupka

Transport surrounding is full of all kinds of fields, like particle potential, external potential. Under these conditions, how elements work and how position and momentum redistribute in the diffusion? For enriching the Fick law in…

Soft Condensed Matter · Physics 2017-08-02 Jian-hui He , Jia-le Wen , Pei-rong Chen , Dong-qin Zheng , Wei-rong Zhong

Previous computations of the potential landscape with the shapes parameterized in terms of Cassini ovaloids are extended to collective dynamics at finite excitations. Taking fission as the most demanding example of large scale collective…

Nuclear Theory · Physics 2008-11-26 F. A. Ivanyuk , H. Hofmann , V. V. Pashkevich , S. Yamaji

The basics of focused transport as applied to solar energetic particles are reviewed, paying special attention to areas of common misconception. The micro-physics of charged particles interacting with slab turbulence are investigated to…

Space Physics · Physics 2020-12-15 J. P. van den Berg , R. D. Strauss , F. Effenberger

The theory of transport phenomena in multicomponent electrolyte solutions is presented here through the integration of continuum mechanics, electromagnetism, and non-equilibrium thermodynamics. The governing equations of irreversible…

Statistical Mechanics · Physics 2020-11-02 Kara D. Fong , Helen K. Bergstrom , Bryan D. McCloskey , Kranthi K. Mandadapu

Numerical computations of transport coefficients at low temperatures are presented for shapes typically encountered in nuclear fission. The influence of quantum effects of the nucleonic degrees of freedom is examined, with pair correlations…

Nuclear Theory · Physics 2009-10-31 H. Hofmann , F. A. Ivanyuk

By use of Lagrangian tracers propagated on 2D simulations of Scrape-Off Layer (SOL) turbulence, we are able to determine the non-local fractional-advection, fractional-diffusion equation (FADE) coefficients for a number of equilibrium…

Plasma Physics · Physics 2025-03-28 T. Gheorghiu , F. Militello , J. Juul Rasmussen

Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

Transport of point-size Brownian particles under the influence of a constant and uniform force field through a three-dimensional channel with smoothly varying periodic cross-section is investigated. Here, we employ an asymptotic analysis in…

Statistical Mechanics · Physics 2011-07-14 Steffen Martens , Gerhard Schmid , Lutz Schimansky-Geier , Peter Hänggi

Using the Schwinger-Keldysh technique, we derive the transport equations for a system of quantum scalar fields. We first discuss the general structure of the equations and then their collision terms. Taking into account up to three-loop…

High Energy Physics - Phenomenology · Physics 2009-11-10 Margaret E. Carrington , Stanislaw Mrowczynski
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