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Exposing a solution to a temperature gradient can lead to the accumulation of particles on either the cold or warm side. This phenomenon, known as thermophoresis, has been discovered more than a century ago, and yet its microscopic origin…

Statistical Mechanics · Physics 2023-01-02 Shiling Liang , Daniel Maria Busiello , Paolo De Los Rios

We discuss the connection among three distinct classes of models often used to explain the late cosmic acceleration: decaying cosmological term, bulk viscous pressure, and nonlinear fluids. We focus on models that are equivalent at zeroth…

Astrophysics · Physics 2007-05-23 Sandro Silva e Costa , Martin Makler

We present a unified causal general relativistic formulation of dissipative and non-dissipative continuum mechanics. The presented theory is the first general relativistic theory that can deal simultaneously with viscous fluids as well as…

General Relativity and Quantum Cosmology · Physics 2019-10-08 Ilya Peshkov , Evgeniy Romenski , Francesco Fambri , Michael Dumbser

We show that in the equilibrium phase of glass-forming hard-sphere fluids in three dimensions, the static length scales tentatively associated with the dynamical slowdown and the dynamical length characterizing spatial heterogeneities in…

Disordered Systems and Neural Networks · Physics 2013-04-16 Patrick Charbonneau , Gilles Tarjus

A major stumbling block for statistical physics and materials science has been the lack of a uni- versal principle that allows us to understand and predict elementary structural, morphological, and dynamical properties of non-equilibrium…

We study the formation of high energy tails in a one-dimensional kinetic model for granular gases, the so-called Inelastic Maxwell Model. We introduce a time- discretized version of the stochastic process, and show that continuous time…

Statistical Mechanics · Physics 2007-06-13 R. Lambiotte , L. Brenig , J. M. Salazar

Motivated by the idea of developing a ``hydrodynamic'' description of spatiotemporal chaos, we have investigated the defect--defect correlation functions in the defect turbulence regime of the two--dimensional, anisotropic complex…

patt-sol · Physics 2016-09-08 Bruce W. Roberts , Eberhard Bodenschatz , James P. Sethna

Because active particles break time-reversal symmetry, a single non-spherical body placed in an active fluid generates currents. We show that when two or more passive bodies are placed in an active fluid these currents lead to long-range…

Statistical Mechanics · Physics 2018-02-07 Yongjoo Baek , Alexandre P. Solon , Xinpeng Xu , Nikolai Nikola , Yariv Kafri

This thesis deals with the dynamics of irreversible processes within the context of the general theory of relativity. In particular, we address the problem of the 'infinite' speed of propagation of thermal disturbances in a dissipative…

General Relativity and Quantum Cosmology · Physics 2011-07-07 C S Lopez-Monsalvo

A multi-time extension of a density correlation function is introduced to reveal temporal information about dynamical heterogeneity in glass-forming liquids. We utilize a multi-time correlation function that is analogous to the higher-order…

Soft Condensed Matter · Physics 2010-08-03 Kang Kim , Shinji Saito

Probing dynamic and static correlation in glass-forming supercooled liquids has been a challenge for decades in spite of extensive research. Dynamic correlation which manifests itself as Dynamic Heterogeneity is ubiquitous in a vast variety…

Statistical Mechanics · Physics 2021-09-22 Anoop Mutneja , Smarajit Karmakar

We present a theory for the construction of renormalized kinetic equations to describe the dynamics of classical systems of particles in or out of equilibrium. A closed, self-consistent set of evolution equations is derived for the…

Classical Physics · Physics 2011-06-09 Jerome Daligault

It has been known since Lanford [19] that the dynamics of a hard sphere gas is described in the low density limit by the Boltzmann equation, at least for short times. The classical strategy of proof fails for longer times, even close to…

Analysis of PDEs · Mathematics 2020-12-08 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

We propose a new Monte Carlo scheme to study the late-time dynamics of a 2-dim hard sphere fluid, modeled by a tethered network of hard spheres. Fluidity is simulated by breaking and reattaching the flexible tethers. We study the diffusion…

Condensed Matter · Physics 2007-05-23 P. B. Sunil Kumar , Madan Rao

The thermodynamic non-equilibrium (TNE) effects and the relationships between various TNE effects and entropy production rate, morphology, kinematics, and dynamics during two initially static droplet coalescence are studied in detail via…

Fluid Dynamics · Physics 2023-11-14 Guanglan Sun , Yanbiao Gan , Aiguo Xu , Qingfan Shi

We derive a simple and general relation between the fidelity of quantum motion, characterizing the stability of quantum dynamics with respect to arbitrary static perturbation of the unitary evolution propagator, and the integrated time…

Chaotic Dynamics · Physics 2009-11-07 Tomaz Prosen , Marko Znidaric

Traditionally applied within equilibrium states, the charge-vortex dualities are expanded to address the complex dynamics of superfluids and ideal fluids under non-static conditions. We have constructed explicit mappings of finite…

High Energy Physics - Theory · Physics 2025-10-09 Lazaros Tsaloukidis , Francisco Peña-Benítez , Piotr Surówka

A formally exact relation is derived which connects thermodynamically non-equilibrium evolution of gas density distribution after its arbitrary strong spatially non-uniform perturbation and evolution of many-particle correlations between…

Statistical Mechanics · Physics 2007-06-01 Yuriy E. Kuzovlev

The Goldstein-Taylor equations can be thought of as a simplified version of a BGK system, where the velocity variable is constricted to a discrete set of values. It is intimately related to turbulent fluid motion and the telegrapher's…

Analysis of PDEs · Mathematics 2021-03-17 Anton Arnold , Amit Einav , Beatrice Signorello , Tobias Wöhrer

We report a study on axially and reflection symmetric dissipative fluids, just after its departure from hydrostatic and thermal equilibrium, at the smallest time scale at which the first signs of dynamic evolution appear. Such a time scale…

General Relativity and Quantum Cosmology · Physics 2016-10-12 L. Herrera , A. Di Prisco , J. Ospino , J. Carot