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We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus on integrable and many-body localized systems that fail to…

Strongly Correlated Electrons · Physics 2016-07-07 Romain Vasseur , Joel E. Moore

Construction of a nonlinear higher-order thermo-hydrodynamics, including correlations, in the framework of a Generalized Nonequilibrium Statistical Grand-Canonical Ensemble is presented. In that way it is provided a particular formalism for…

Statistical Mechanics · Physics 2007-05-23 Áurea R. Vasconcellos , J. Galvão Ramos , Roberto Luzzi

An approach to non-adiabatic dynamics of atoms in molecular and condensed matter systems under general non-equilibrium conditions is proposed. In this method interaction between nuclei and electrons is considered explicitly up to the second…

Materials Science · Physics 2018-08-01 L. Kantorovich

We develop new variational principles to study stability and equilibrium of axisymmetric flows. We show that there is an infinite number of steady state solutions. We show that these steady states maximize a (non-universal) $H$-function. We…

Fluid Dynamics · Physics 2016-08-16 Nicolas Leprovost , Bérengère Dubrulle , Pierre-Henri Chavanis

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

Statistical Mechanics · Physics 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

The uncertainty relations in hydrodynamics are numerically studied. We first give a review for the formulation of the generalized uncertainty relations in the stochastic variational method (SVM), following the paper by two of the present…

Fluid Dynamics · Physics 2020-11-25 G. Gonçalves de Matos , T. Kodama , T. Koide

Physical systems that dissipate, mix and develop turbulence also irreversibly transport statistical density. In statistical physics, laws for these processes have a mathematical form and tractability that depends on whether the description…

Statistical Mechanics · Physics 2022-11-16 Swetamber Das , Jason R. Green

Static and dynamic structure factors and various transport coefficients are computed for a Lennard-Jones model of a binary fluid (A,B) with a symmetrical miscibility gap, varying both temperature and relative concentration of the mixture.…

Statistical Mechanics · Physics 2009-11-10 Subir K. Das , Jürgen Horbach , Kurt Binder

Recently Mazenko and Das and Mazenko introduced a non-equilibrium field theoretical approach to describe the statistical properties of a classical particle ensemble starting from the microscopic equations of motion of each individual…

Statistical Mechanics · Physics 2015-06-23 Celia Viermann , Felix Fabis , Elena Kozlikin , Robert Lilow , Matthias Bartelmann

We investigate sedimentation of model hard sphere-like colloidal dispersions confined in horizontal capillaries using laser scanning confocal microscopy, dynamical density functional theory, and Brownian dynamics computer simulations. For…

Soft Condensed Matter · Physics 2009-11-13 C. Patrick Royall , Joachim Dzubiella , Matthias Schmidt , Alfons van Blaaderen

The following model is studied analytically and numerically: point particles with masses $m,\mu,m, \dots$ ($m\geq\mu$) are distributed over the positive half-axis. Their dynamics is initiated by giving a positive velocity to the particle…

Statistical Mechanics · Physics 2025-10-22 Taras Holovatch , Yuri Kozitsky , Krzysztof Pilorz , Yurij Holovatch

This study presents a generalized multiscale nonlocal elasticity theory that leverages distributed order fractional calculus to accurately capture coexisting multiscale and nonlocal effects within a macroscopic continuum. The nonlocal…

Computational Engineering, Finance, and Science · Computer Science 2022-01-05 Wei Ding , Sansit Patnaik , Fabio Semperlotti

Thermodynamics makes definite predictions about the thermal behavior of macroscopic systems in and out of equilibrium. Statistical mechanics aims to derive this behavior from the dynamics and statistics of the atoms and molecules making up…

Statistical Mechanics · Physics 2018-03-28 Sheldon Goldstein , David A. Huse , Joel L. Lebowitz , Pablo Sartori

Transport properties of a charged droplet of weakly interacting particles in an external field are investigated. A non-equilibrium distribution function which describes a process of the droplet transverse evolution with constant entropy in…

High Energy Physics - Phenomenology · Physics 2015-06-11 S. Bondarenko , K. Komoshvili

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

Statistical Mechanics · Physics 2024-04-18 Gyula I. Tóth

Using Brownian dynamics computer simulations we show that a two-dimensional suspension of self-propelled ("active") colloidal particles crystallizes at sufficiently high densities. Compared to the equilibrium freezing of passive particles…

Soft Condensed Matter · Physics 2012-06-12 Julian Bialké , Thomas Speck , Hartmut Löwen

Equilibrium quantum systems are often described by a gas of weakly-interacting normal modes. Bringing such systems far from equilibrium, however, can drastically enhance mode-to-mode interactions. Understanding the resulting liquid is a…

Quantum Physics · Physics 2026-02-26 Anton V. Bubis , Lucia Vigliotti , Maksym Serbyn , Andrew P. Higginbotham

We derive hydrodynamic-like equations that are applicable to short-time scale color phenomena in the quark-gluon plasma. The equations are solved in the linear response approximation, and the gluon polarization tensor is derived. As an…

High Energy Physics - Phenomenology · Physics 2009-11-11 Cristina Manuel , Stanislaw Mrowczynski

Isotropic fluids in two spatial dimensions can break parity symmetry and sustain transverse stresses which do not lead to dissipation. Corresponding transport coefficients include odd viscosity, odd torque, and odd pressure. We consider an…

Fluid Dynamics · Physics 2023-05-10 Gustavo M. Monteiro , Alexander G. Abanov , Sriram Ganeshan

We investigate proteins within heterogeneous cell membranes where non-equilibrium phenomena arises from spatial variations in concentration and temperature. We develop simulation methods building on non-equilibrium statistical mechanics to…

Soft Condensed Matter · Physics 2025-08-28 D. Jasuja , P. J. Atzberger