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In these notes I explain how to describe one-dimensional quantum systems that are simultaneously near to, but not exactly at, a critical point, and in a far-from-equilibrium steady state. This description uses a density matrix on scattering…

Statistical Mechanics · Physics 2012-12-06 Benjamin Doyon

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

The asymptotic analysis of a linear high-field Wigner-BGK equation is developped by a modified Chapman-Enskog procedure. By an expansion of the unknown Wigner function in powers of the Knudsen number $\epsilon$, evolution equations are…

Mathematical Physics · Physics 2007-05-23 Chiara Manzini , Giovanni Frosali

One of the physically least understood characteristics of geophysical transport of sediments along sediment surfaces is the well known experimental observation that the sediment transport rate $Q$ is linearly dependent on the fluid shear…

Soft Condensed Matter · Physics 2020-04-29 Thomas Pähtz , Orencio Durán

The eigenfunctions and eigenvalues of the linearized Boltzmann equation for inelastic hard spheres (d=3) or disks (d=2) corresponding to d+2 hydrodynamic modes, are calculated in the long wavelength limit for a granular gas. The transport…

Statistical Mechanics · Physics 2009-11-10 James W. Dufty , J. Javier Brey

We employ a quantum macrostatistical treatment of irreversible processes to prove that, in nonequilibrium steady states, (a) the hydrodynamical observables execute a generalised Onsager-Machlup process and (b) the spatial correlations of…

Mathematical Physics · Physics 2009-11-10 Geoffrey L. Sewell

In heavy-ion collisions, the quark-gluon plasma is produced far from equilibrium. This regime is currently inaccessible by quantum chromodynamics (QCD) computations. We calculate shear transport and entropy far from equilibrium in a…

High Energy Physics - Phenomenology · Physics 2020-12-30 Michael F. Wondrak , Matthias Kaminski , Marcus Bleicher

The transport coefficient of shear viscosity is studied for a hadron matter through microscopic transport model, the Ultra--relativistic Quantum Molecular Dynamics (UrQMD), using the Green--Kubo formulas. Molecular--dynamical simulations…

Nuclear Theory · Physics 2009-11-10 Azwinndini Muronga

We show existence of a non-equilibrium steady state for the one-dimensional, non-linear BGK model on an interval with diffusive boundary conditions. These boundary conditions represent the coupling of the system with two heat reservoirs at…

Analysis of PDEs · Mathematics 2021-06-02 Josephine Evans , Angeliki Menegaki

We investigate stresses and particle motion during the start up of flow in a colloidal dispersion close to arrest into a glassy state. A combination of molecular dynamics simulation, mode coupling theory and confocal microscopy experiment…

Soft Condensed Matter · Physics 2009-11-13 J. Zausch , J. Horbach , M Laurati , S. U. Egelhaaf , J. M. Brader , Th. Voigtmann , M. Fuchs

The Boltzmann kinetic theory for a model of a confined quasi-two dimensional granular mixture derived previously [Garz\'o, Brito and Soto, Phys. Fluids \textbf{33}, 023310 (2021)] is considered further to analyze two different problems.…

Soft Condensed Matter · Physics 2024-03-07 Vicente Garzó , Ricardo Brito , Rodrigo Soto

We study the dynamics of charge fluctuations after homogeneous quantum quenches in one-dimensional systems with ballistic transport. For short but macroscopic times where the non-trivial dynamics is largely dominated by long-range…

Statistical Mechanics · Physics 2025-07-09 David X. Horvath , Benjamin Doyon , Paola Ruggiero

The Navier--Stokes order hydrodynamic equations for a low-density driven granular mixture obtained previously [Khalil and Garz\'o, Phys. Rev. E \textbf{88}, 052201 (2013)] from the Chapman--Enskog solution to the Boltzmann equation are…

Statistical Mechanics · Physics 2018-02-08 Nagi Khalil , Vicente Garzó

Under many conditions, macroscopic grains flow like a fluid; kinetic theory pred icts continuum equations of motion for this granular fluid. In order to test the theory, we perform event driven molecular simulations of a two-dimensional gas…

Statistical Mechanics · Physics 2009-10-31 C. Bizon , M. D. Shattuck , J. B. Swift , Harry L. Swinney

Instabilities at interface of two stream granular flows have been reported in recent experiment [1] that breaking waves can form at the interface between two streams of identical grains flowing on an inclined plane downstream of a splitter…

Classical Physics · Physics 2007-05-23 Hua-Shu Dou , Boo Cheong Khoo , Nhan Phan-Thien

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

We consider a family of models having an arbitrary positive amount of mass on each site and randomly exchanging an arbitrary amount of mass with nearest neighbor sites. We restrict to the case of diffusive models. We identify a class of…

Statistical Mechanics · Physics 2023-09-29 Monia Capanna , Davide Gabrielli , Dimitrios Tsagkarogiannis

In the study of gas dynamics, theoretical modeling and numerical simulation are mostly set up with deterministic settings. Given the coarse-grained modeling in theories of fluids, considerable uncertainties may exist between flow-field…

Computational Physics · Physics 2020-08-07 Tianbai Xiao

Accurately describing liquids and their mixtures beyond equilibrium remains a significant challenge in modern chemical physics and physical chemistry, especially regarding the calculation of transport properties in liquid-phase systems.…

Soft Condensed Matter · Physics 2025-06-19 Yury A. Budkov , Nikolai N. Kalikin , Petr E. Brandyshev

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

Statistical Mechanics · Physics 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain
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