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We discuss the emergence of non-stationarity in open quantum many-body systems. This leads us to the definition of dissipative time crystals which display experimentally observable, persistent, time-periodic oscillations induced by noisy…

量子物理 · 物理学 2022-11-28 Cameron Booker , Berislav Buča , Dieter Jaksch

We study a one dimensional gas of $N$ noninteracting diffusing particles in a harmonic trap, whose stiffness switches between two values $\mu_1$ and $\mu_2$ with constant rates $r_1$ and $r_2$ respectively. Despite the absence of direct…

统计力学 · 物理学 2024-03-13 Marco Biroli , Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

We report a study of the homogeneous isotropic Boltzmann equation for an open system. We seek for nonequilibrium steady solutions in presence of forcing and dissipation. Using the language of weak turbulence theory, we analyze the…

混沌动力学 · 物理学 2015-03-17 Davide Proment , Miguel Onorato , Pietro Asinari , Sergey Nazarenko

We compute the full probability distribution of the moment of inertia $I \propto \sum_{i=1}^N \vec{r}_i^{\,2}$ of a gas of $N$ noninteracting bosons trapped in a harmonic potential $V(r) = (1/2)\, m\, \omega^2 r^2$, in all dimensions and at…

统计力学 · 物理学 2025-11-18 Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

We establish a central limit theorem and large deviations principle that characterises small noise fluctuations of the generalised Dean--Kawasaki stochastic PDE. The fluctuations agree to first order with fluctuations of certain interacting…

概率论 · 数学 2025-04-25 Shyam Popat

The paper assesses stationary probability distributions in out of equilibrium systems. In the phenomenology proposed, no free energy can be well defined. Fluctuations of Landau free energy couplings arise when the intrinsic chemical…

统计力学 · 物理学 2012-01-31 Guillaume Attuel

A dilute gas of particles with short range interactions is considered in a shearing stationary state. A Gaussian thermostat keeps the total kinetic energy constant. For infinitely many particles it is shown that the thermostat becomes a…

统计力学 · 物理学 2009-10-31 R. van Zon

We develop a stochastic model for the charge fluctuations on a microscopic dust particle resting on a surface exposed to plasma. We find in steady state that the fluctuations are normally distributed with a standard deviation that is…

等离子体物理 · 物理学 2015-05-27 T. E. Sheridan , A. Hayes

We consider the one-dimensional partially asymmetric zero range process where the hopping rates as well as the easy direction of hopping are random variables. For this type of disorder there is a condensation phenomena in the thermodynamic…

统计力学 · 物理学 2009-11-11 Róbert Juhász , Ludger Santen , Ferenc Iglói

We present an analytical study of a nonlinear oscillator subject to an additive Ornstein-Uhlenbeck noise. Known results are mainly perturbative and are restricted to the large dissipation limit (obtained by neglecting the inertial term) or…

统计力学 · 物理学 2009-11-10 Kirone Mallick , Philippe Marcq

A Langevin equation is suggested to describe a system driven by correlated Gaussian white noise as well as with positive and negative damping demarcated by a critical velocity. The equation can be transformed into the Fokker-Planck equation…

物理与社会 · 物理学 2019-09-11 Peng Wang , Feng-Chun Pan , Jie Huo , Xu-Ming Wang

We investigate the behavior of dissipative particle dynamics (DPD) with time-correlated random noise. A new stochastic force for DPD is proposed which consists of a random force whose noise has an algebraic correlation proportional to 1/t…

统计力学 · 物理学 2019-01-10 Morgane Borreguero , Marco Ellero , Nikolaus A. Adams

A longstanding goal of nonequilibrium statistical mechanics has been to extend the conceptual power of the Boltzmann distribution to driven systems. We report some new progress towards this goal. Instead of writing the nonequilibrium…

统计力学 · 物理学 2015-11-25 Robert Marsland , Jeremy England

Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the…

统计力学 · 物理学 2007-12-12 Tooru Taniguchi , E. G. D. Cohen

We show that a scaling law exists for the near resonant dynamics of cold kicked atoms in the presence of a randomly fluctuating pulse amplitude. Analysis of a quasi-classical phase-space representation of the quantum system with noise…

量子物理 · 物理学 2008-08-29 Mark Sadgrove , Sandro Wimberger , Scott Parkins , Rainer Leonhardt

The weak noise limit of dissipative dynamical systems is often the most fascinating one. In such a case fluctuations can interact with a rich complexity frequently hidden in deterministic systems to give rise of completely new phenomena…

统计力学 · 物理学 2021-09-15 Jakub Spiechowicz , Jerzy Łuczka

We study the relaxation dynamics of a run and tumble particle in a one-dimensional piecewise linear potential $U(x)=b|x|$, from delta-function initial conditions at $x=0$ to steady state. In addition to experiencing active telegraphic…

统计力学 · 物理学 2025-06-04 R. K. Singh , Oded Farago

We prove a central limit theorem for the momentum distribution of a particle undergoing an unbiased spatially periodic random forcing at exponentially distributed times without friction. The start is a linear Boltzmann equation for the…

数学物理 · 物理学 2015-05-14 Jeremy Clark , Christian Maes

We review a semiclassical theory of high-field noise in degenerate conductors, based on propagator solutions to the Boltzmann equation for the fluctuation distribution function. The theory provides a microscopic description of…

凝聚态物理 · 物理学 2007-05-23 F. Green , M. P. Das

One of the many measures of the non-equilibrium nature of a system is the existence of a non-zero steady state current which is especially relevant for many biological systems. To this end, we study the non-equilibrium dynamics of a…

软凝聚态物质 · 物理学 2024-12-13 Saloni Saxena , Marko Popović , Frank Jülicher