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Predicting universal transport coefficients in far-from-equilibrium quantum systems remains a fundamental challenge. A paradigmatic example is the non-thermal fixed point (NTFP) of isolated Bose gases, where coherence spreads as $\ell^2(t)…

Quantum Gases · Physics 2026-05-13 Jun-Cheng Liang , Bo Chen

We compute the joint distribution of relative velocities and separations of identical inertial particles suspended in randomly mixing and turbulent flows. Our results are obtained by matching asymptotic forms of the distribution. The method…

Fluid Dynamics · Physics 2014-02-24 K. Gustavsson , B. Mehlig

The universality of small scales, a cornerstone of turbulence, has been nominally confirmed for low-order mean-field statistics, such as the energy spectrum. However, small scales exhibit strong intermittency, exemplified by formation of…

Fluid Dynamics · Physics 2025-04-30 Dhawal Buaria , Alain Pumir

We consider a system of particles subjected to a uniform external force E and undergoing random collisions with "virtual" fixed obstacles, as in the Drude model of conductivity. The system is maintained in a nonequilibrium stationary state…

Chaotic Dynamics · Physics 2016-12-21 Federico Bonetto , Joel L. Lebowitz

Quantum critical matter has already been studied in many systems, including cold atomic gases. We report the observation of a universal behaviour of ultracold quantum critical Bose gases in a one-dimensional optical lattice. In the quantum…

Quantum Gases · Physics 2011-03-08 Hongwei Xiong , Xinzhou Tan , Bing Wang , Lijuan Cao , Baolong Lü

In this paper histograms of user ratings for movies (1,...,10) are analysed. The evolving stabilised shapes of histograms follow the rule that all are either double- or triple-peaked. Moreover, at most one peak can be on the central bins…

Physics and Society · Physics 2010-12-07 Jan Lorenz

We consider the motion of a test particle in a one-dimensional system of equal-mass point particles. The test particle plays the role of a microscopic "piston" that separates two hard-point gases with different concentrations and arbitrary…

Statistical Mechanics · Physics 2009-11-07 V. Balakrishnan , I. Bena , C. Van den Broeck

We consider a realistic bosonic N-particle model with unitary interactions relevant for Efimov physics. Using quantum Monte Carlo methods, we find that the critical temperature for Bose-Einstein condensation is decreased with respect to the…

Quantum Gases · Physics 2016-11-23 Tommaso Comparin , Werner Krauth

We study segregation of an impurity in a driven granular fluid under two types of \emph{steady} states. In the first state, the granular gas is driven by a stochastic volume force field with a Fourier-type profile while in the second state,…

Soft Condensed Matter · Physics 2015-01-05 Francisco Vega Reyes , Vicente Garzó

We establish in this article spreading properties for the solutions of equations of the type $\partial$ t u -- a(x)$\partial$ xx u -- q(x)$\partial$ x u = f (x, u), where a, q, f are only assumed to be uniformly continuous and bounded in x,…

Analysis of PDEs · Mathematics 2016-03-02 Henri Berestycki , Grégoire Nadin

Statistical invariance of Wiener increments under SO(n) rotations provides a notion of gauge transformation of state-dependent Brownian motion. We show that the stochastic dynamics of non gauge-invariant systems is not unambiguously…

Statistical Mechanics · Physics 2013-09-06 Matteo Polettini

We consider a statistical mechanics and thermodynamics of a rotating ideal gas of classical relativistic particles with nonzero mass and spin. Applying the Gibbs theory of canonical ensembles for a system rotating with constant angular…

Statistical Mechanics · Physics 2023-07-26 D. S. Kaparulin , N. N. Levin

We introduce a system of self-propelled agents (active Brownian particles) with velocity alignment in two spatial dimensions and derive a mean-field theory from the microscopic dynamics via a nonlinear Fokker-Planck equation and a moment…

Statistical Mechanics · Physics 2011-09-26 Pawel Romanczuk , Lutz Schimansky-Geier

Subdiffusive transport in tilted washboard potentials is studied within the fractional Fokker-Planck equation approach, using the associated continuous time random walk (CTRW) framework. The scaled subvelocity is shown to obey a universal…

Statistical Mechanics · Physics 2009-07-01 I. M. Sokolov , E. Heinsalu , P. Hanggi , I. Goychuk

Recently Biskup et al. [Europhys. Lett. 60 (2002) 21] studied the behaviour of d-dimensional finite-volume liquid-vapour systems at a fixed excess $\delta N$ of particles above the ambient gas density. They identify a dimensionless…

High Energy Physics - Lattice · Physics 2007-05-23 Andreas Nussbaumer , Elmar Bittner , Wolfhard Janke

We perform a systematic study of the thermodynamics of quantum gases in the unitarity limit. Our study makes use of a "Universality Hypothesis" for the relevant energy scales of a many-body system at unitarity. This Hypothesis is supported…

Condensed Matter · Physics 2011-07-19 Tin-Lun Ho

The mass flux of a low-density granular binary mixture obtained previously by solving the Boltzmann equation by means of the Chapman-Enskog method is considered further. As in the elastic case, the associated transport coefficients $D$,…

Statistical Mechanics · Physics 2013-06-27 Vicente Garzó , J. Aaron Murray , Francisco Vega Reyes

We explore the velocity distributions in a vibrated binary granular gas system, focusing on how these distributions are influenced by the coefficient of restitution (CoR) and the inelasticity of particle collisions. Through molecular…

Soft Condensed Matter · Physics 2024-10-07 Rameez Farooq Shah , Syed Rashid Ahmad

In this paper we study finite velocity planar random motions with an infinite number of possible directions, where the number of changes of direction is randomized by means of an inhomogeneous fractional Poisson distribution. We first…

Probability · Mathematics 2014-11-25 R. Garra , E. Orsingher

We study the universal far from equilibrium dynamics of magnons in Heisenberg ferromagnets. We show that such systems exhibit universal scaling in momentum and time of the quasiparticle distribution function, with the universal exponents…

Statistical Mechanics · Physics 2020-12-08 Saraswat Bhattacharyya , Joaquin F. Rodriguez-Nieva , Eugene Demler