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We study transport in a one-dimensional lattice system with two conserved quantities -- `volume' and energy. Considering a slowly evolving local equilibrium state that is slightly deviated from an underlying global equilibrium, we estimate…

Statistical Mechanics · Physics 2023-07-19 Anupam Kundu

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

As an effective theory, relativistic hydrodynamics is fixed by symmetries up to a set of transport coefficients. A lot of effort has been devoted to explicit calculations of these coefficients. Here we propose a shift in perspective: we…

High Energy Physics - Theory · Physics 2024-10-15 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Benjamin Withers

In a recent paper [1] the scattering and transport of excess electrons in liquid argon in the hydrodynamic regime was investigated, generalizing the seminal works of Lekner and Cohen [2,3] with modern scattering theory techniques and…

Computational Physics · Physics 2017-10-02 G. J. Boyle , D. G. Cocks , W. J. Tattersall , R. P. McEachran , R. D. White

An approach to the description of kinetics which taking into account the large-scale hydrodynamic transport processes for quantum Bose system is proposed. The nonequilibrium statistical operator which consistently describes both the kinetic…

Statistical Mechanics · Physics 2011-12-30 P. A. Hlushak , M. V. Tokarchuk

In this paper we explore a possibility that all transport turbulent models are contained in a coarse-grained kinetic equation. Building on a recent work by H.Chen et al (2004), we account for fluctuations of a single -point probability…

Cellular Automata and Lattice Gases · Physics 2007-07-05 Victor Yakhot

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

Astrophysics · Physics 2009-11-11 Patrick Valageas

Recent developments in string theory have reinforced the notion that the space of stable supersymmetric and non-supersymmetric string vacua fills out a ``landscape'' whose features are largely unknown. It is then hoped that progress in…

High Energy Physics - Theory · Physics 2008-11-26 Keith R. Dienes

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A simple analytical procedure of constructing the equilibrium for the…

Condensed Matter · Physics 2009-11-07 Santosh Ansumali , Iliya V. Karlin , Hans Christian Öttinger

This paper discusses aspects of the second order hyperbolic partial differential equation associated with the ideal lossless string under tension and it's relationship to two discrete models. These models are finite differencing in the time…

Computational Physics · Physics 2007-05-23 Georg Essl

The transport coefficients of a dilute gas of inelastic hard spheres immersed in a molecular gas are determined. We assume that the number density of the granular gas is much smaller than that of the surrounding molecular gas, so that the…

Soft Condensed Matter · Physics 2022-06-07 Rubén Gómez González , Vicente Garzó

This paper introduces the fundamental continuum theory governing momentum transport in isotropic nanofluidic flows. The theory is an extension to the classical Navier-Stokes equation, which includes coupling between translational and…

Soft Condensed Matter · Physics 2017-01-04 J. S. Hansen , Jeppe C. Dyre , Peter J. Daivis , B. D. Todd , Henrik Bruus

The thermodynamics and covariant kinetic theory have been elaborately investigated in a non-extensive environment considering the non-extensive generalization of Bose-Einstein (BE) and Fermi-Dirac (FD) statistics. Starting with Tsallis'…

Nuclear Theory · Physics 2018-02-08 Sukanya Mitra

The recently proposed connection between the Lorentz invariance of stability and the speed of signal propagation has been tested for a first-order relativistic dissipative hydrodynamic theory. The fact that the stability situation in…

Nuclear Theory · Physics 2023-02-15 Rajesh Biswas , Sukanya Mitra , Victor Roy

We develop a systematic effective field theory of hydrodynamics for many-body systems on the lattice with global continuous non-Abelian symmetries. Models with continuous non-Abelian symmetries are ubiquitous in physics, arising in diverse…

Statistical Mechanics · Physics 2021-01-27 Paolo Glorioso , Luca V. Delacrétaz , Xiao Chen , Rahul M. Nandkishore , Andrew Lucas

In recent works it has been demonstrated that using an appropriate rescaling, linear Boltzmann-type equations give rise to a scalar fractional diffusion equation in the limit of a small mean free path. The equilibrium distributions are…

Mathematical Physics · Physics 2014-10-01 Sabine Hittmeir , Sara Merino-Aceituno

I review recent progress on the connection between string theory and quantum chromodynamics in the context of the gauge/gravity duality. Emphasis is placed on conciseness and conceptual aspects rather than on technical details. Topics…

High Energy Physics - Theory · Physics 2008-11-26 David Mateos

A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity. Focusing on neutral conformal fluids constructed solely in terms of hydrodynamic variables, we derive…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

We develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics…

High Energy Physics - Theory · Physics 2017-01-30 Michael Crossley , Paolo Glorioso , Hong Liu

We develop a model of string dynamics with back-reaction from both scaling and non-scaling loops taken into account. The evolution of a string network is described by the distribution functions of coherence segments and kinks. We derive two…

High Energy Physics - Theory · Physics 2010-11-19 Vitaly Vanchurin