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We consider the problem of the definition of an effective temperature via the long-time limit of the fluctuation-dissipation ratio (FDR) after a quench from the disordered state to the critical point of an O(N) model with dissipative…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , Andrea Gambassi

We study dynamics of freely cooling granular gases in two-dimensions using large-scale molecular dynamics simulations. We find that for dilute systems the typical kinetic energy decays algebraically with time, E(t) ~ t^{-1}, in the long…

Statistical Mechanics · Physics 2007-05-23 Xiaobo Nie , Eli Ben-Naim , Shiyi Chen

Brownian motion in a granular gas in a homogeneous cooling state is studied theoretically and by means of molecular dynamics. We use the simplest first-principle model for the impact-velocity dependent restitution coefficient, as it follows…

Statistical Mechanics · Physics 2015-06-11 Anna Bodrova , Awadhesh Kumar Dubey , Sanjay Puri , Nikolai Brilliantov

A Gribov-type dispersion relation is treated as an effective description of interacting gluons forming a hot medium. Temperature dependence of the Gribov parameter is determined from the fit to the lattice Yang-Mills results describing…

Nuclear Theory · Physics 2017-03-24 Viktor Begun , Wojciech Florkowski , Radoslaw Ryblewski

We present a time-dependent formulation of coupled cluster theory. This theory allows for direct computation of the free energy of quantum systems at finite temperature by imaginary time integration and is closely related to the thermal…

Chemical Physics · Physics 2019-03-21 Alec F. White , Garnet Chan

We address the question of how interacting active systems in a non-equilibrium steady-state respond to an external perturbation. We establish an extended fluctuation-dissipation theorem for Active Brownian Particles (ABP) which highlights…

Statistical Mechanics · Physics 2026-01-14 Sara Dal Cengio , Demian Levis , Ignacio Pagonabarraga

In contrast with the understanding of fluctuation symmetries for entropy production, similar ideas applied to the time-symmetric fluctuation sector have been less explored. Here we give detailed derivations of time-symmetric fluctuation…

Statistical Mechanics · Physics 2015-06-15 Christian Maes , Alberto Salazar

We report an experimental study of a dilute "gas" of inelastically colliding particles excited by vibrations in low gravity. We show that recording the collision frequency together with the impulses on a wall of the container gives access…

Other Condensed Matter · Physics 2016-08-16 Eric Falcon , S. Aumaître , P. Evesque , F. Palencia , C. Lecoutre-Chabot , S. Fauve , D. Beysens , Y. Garrabos

We revisit the effective parameter description of hot Brownian motion -- a scenario where a colloidal particle is kept at an elevated temperature than the ambient fluid. Due to the time scale separation between heat diffusion and particle…

Soft Condensed Matter · Physics 2018-06-13 Mayank Srivastava , Dipanjan Chakraborty

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito

We address the problem of measuring time-properties of Response Functions (Green functions) in Gaussian models (Orszag-McLaughin) and strongly non-Gaussian models (shell models for turbulence). We introduce the concept of {\it halving time…

Chaotic Dynamics · Physics 2009-11-07 L. Biferale , I. Daumont , G. Lacorata , A. Vulpiani

In the context of an exactly soluble out of equilibrium (quenched) model, we study an extension of the fluctuation-dissipation relation. This involves a modified differential form of this relation, with an effective temperature which may…

High Energy Physics - Theory · Physics 2015-07-24 A. L. M. Britto , Ashok K. Das , J. Frenkel

Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. We find a double copy relation…

High Energy Physics - Theory · Physics 2015-06-11 Ryo Saotome , Ratindranath Akhoury

The sequence of prominent fractional quantum Hall states up to $\nu$=5/11 around $\nu$=1/2 in a high mobility two-dimensional electron system confined at oxide heterointerface (ZnO) is analyzed in terms of the composite fermion model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Denis Maryenko , Joseph Falson , Yusuke Kozuka , Atsushi Tsukazaki , Masaru Onoda , Hideo Aoki , Masashi Kawasaki

Nonequilibrium statistical mechanics close to equilibrium is a physically satisfactory theory centered on the linear response formula of Green-Kubo. This formula results from a formal first order perturbation calculation without rigorous…

Chaotic Dynamics · Physics 2015-05-27 David Ruelle

We compute the frequency-dependent shear and bulk viscosity spectral functions of an interacting Fermi gas in a quantum virial expansion up to second quadratic order in the fugacity parameter $z=e^{\beta \mu}$, which is small at high…

Quantum Gases · Physics 2020-01-22 Johannes Hofmann

We discuss the well known Einstein and the Kubo Fluctuation Dissipation Relations (FDRs) in the wider framework of a generalized FDR for systems with a stationary probability distribution. A multi-variate linear Langevin model, which…

Statistical Mechanics · Physics 2009-07-17 D. Villamaina , A. Baldassarri , A. Puglisi , A. Vulpiani

We have developed a Green-Kubo relation that enables accurate calculations of friction at solid-liquid interfaces directly from equilibrium molecular dynamics (MD) simulations and that provides a pathway to bypass the time-scale limitations…

Statistical Mechanics · Physics 2016-08-08 Kai Huang , Izabela Szlufarska

The inhomogeneous cooling state describing the hydrodynamic behavior of a freely evolving granular gas strongly confined between two parallel plates is studied, using a Boltzmann kinetic equation derived recently. By extending the idea of…

Statistical Mechanics · Physics 2019-12-20 J. Javier Brey , M. I. García de Soria , P. Maynar

We analyze the fluctuations of an electronic thermal current across an idealized molecular junction. The focus here will be on the spectral features of the resulting heat fluctuations. By use of the Green functionmethod we derive an…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Fei Zhan , Sergey Denisov , Peter Hänggi