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Thermal fluctuations in non-equilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations in turn experience fluctuation induced forces. We compute these…

Statistical Mechanics · Physics 2015-01-07 Avi Aminov , Yariv Kafri , Mehran Kardar

The selfgravity of an infalling gas can alter significantly the accretion of gases. In the case of spherically symmetric steady flows of polytropic perfect fluids the mass accretion rate achieves maximal value when the mass of the fluid is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bogusz Kinasiewicz , Patryk Mach , Edward Malec

When pulling a particle in a driven granular fluid with constant force $F_{ex}$, the probe particle approaches a steady-state average velocity $v$. This velocity and the corresponding friction coefficient of the probe $\zeta=F_{ex}/v$ are…

Soft Condensed Matter · Physics 2014-04-29 Ting Wang , Matthias Grob , Annette Zippelius , Matthias Sperl

We derive the fluctuation dynamics of a probe in weak coupling with a "living" medium, modeled as particles undergoing an active Ornstein-Uhlenbeck dynamics. Nondissipative corrections to the fluctuation-dissipation relation are written out…

Soft Condensed Matter · Physics 2020-11-18 Christian Maes

In this article, we demonstrate that in a transport model of particles with kinetic constraints, long-lived spatial structures are responsible for the blocking dynamics and the decrease of the current at strong driving field. Coexistence…

Disordered Systems and Neural Networks · Physics 2015-03-20 Francesco Turci , Estelle Pitard

We describe a method for computing transport coefficients from the direct evaluation of large deviation function. This method is general, relying on only equilibrium fluctuations, and is statistically efficient, employing trajectory based…

Statistical Mechanics · Physics 2017-11-22 Chloe Ya Gao , David T. Limmer

Using fluctuating hydrodynamics we describe the slow build-up of long range spatial correlations in a freely evolving fluid of inelastic hard spheres. In the incompressible limit, the behavior of spatial velocity correlations (including…

Statistical Mechanics · Physics 2009-10-30 T. P. C. van Noije , M. H. Ernst , R. Brito , J. A. G. Orza

We derive linear fluctuating hydrodynamics as the low density limit of a deterministic system of particles at equilibrium. The proof builds upon previous results of the authors where the asymptotics of the covariance of the fluctuation…

Analysis of PDEs · Mathematics 2022-10-24 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

We study fluctuations of the empirical processes of a non-equilibrium interacting particle system consisting of two species over a domain that is recently introduced in [8] and establish its functional central limit theorem. This…

Probability · Mathematics 2021-01-12 Zhen-Qing Chen , Wai-Tong Louis Fan

In order to understand the nature of friction in closely-packed granular materials, a discrete element simulation on granular layers subjected to isobaric plain shear is performed. It is found that the friction coefficient increases as the…

Soft Condensed Matter · Physics 2007-06-15 Takahiro Hatano

The propulsion of active particles by self-diffusiophoresis is driven by asymmetric catalytic reactions on the particle surface that generate a mechanochemical coupling between the fluid velocity and the concentration fields of fuel and…

Statistical Mechanics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

The force autocorrelation function (FACF), a concept of fundamental interest in statistical mechanics, encodes the effect of interactions on the dynamics of a tagged particle. In equilibrium, the FACF is believed to decay monotonically in…

Statistical Mechanics · Physics 2023-07-20 Erik Kalz , Hidde Derk Vuijk , Jens-Uwe Sommer , Ralf Metzler , Abhinav Sharma

We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior $<x^2 > \sim t^{1/2}$. We show the validity of the usual Fluctuation-Dissipation…

Statistical Mechanics · Physics 2008-10-10 D. Villamaina , A. Puglisi , A. Vulpiani

We consider quark-gluon plasma with chemical potential and study renormalization group flows of transport coefficients in the framework of gauge/gravity duality. We first study them using the flow equations and compare the results with…

High Energy Physics - Theory · Physics 2012-02-01 Yoshinori Matsuo , Sang-Jin Sin , Yang Zhou

Friction in liquids arises from conservative forces between molecules and atoms. Although the hydrodynamics at the nanoscale is subject of intense research and despite the enormous interest in the non-Markovian dynamics of single molecules…

Statistical Mechanics · Physics 2020-07-13 Arthur V. Straube , Bartosz G. Kowalik , Roland R. Netz , Felix Höfling

Interacting fluids, endowed with bulk viscous stresses, are discussed in a unified perspective with the aim of generalizing the treatment of cosmological perturbation theory to the case where both fluctuating decay rates and fluctuating…

Astrophysics · Physics 2009-11-24 Massimo Giovannini

We discuss recently measured event-by-event multiplicity fluctuations in relativistic heavy-ion collisions. It is shown that the non-monotonic behavior of the multiplicity fluctuations as a function of collision centrality can be fully…

Nuclear Theory · Physics 2009-11-10 M. Rybczynski , Z. Wlodarczyk

The Chamblin-Reall gravity is a remarkable non-conformal platform for the fluid/gravity correspondence to achieve its maximum efficiency. When a probe scalar field that does not change the background metric is manually introduced into the…

High Energy Physics - Theory · Physics 2024-12-23 Chao Wu , Hao Hu , Ruohan Wang , Tingqing Zhou

The fluctuation-response relation is a fundamental relation that is applicable to systems near equilibrium. On the other hand, when a system is driven far from equilibrium, this relation is violated in general because the detailed-balance…

Statistical Mechanics · Physics 2009-11-11 Takahiro Harada , Shin-ichi Sasa

Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined…

Fluid Dynamics · Physics 2021-01-11 Amilcare Porporato , Milad Hooshyar , Andrew D Bragg , Gabriel Katul
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