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We study spontaneous symmetry breaking in a one-dimensional driven two-species stochastic cellular automaton with parallel sublattice update and open boundaries. The dynamics are symmetric with respect to interchange of particles. Starting…

Statistical Mechanics · Physics 2009-11-11 Stefan Grosskinsky , Gunter M. Schutz , Richard D. Willmann

In this note, we present a simple derivation, from time-reversal symmetry, of fluctuation relations for steady-state large deviation functions in non-equilibrium quantum systems. We further show that a condition of pure transmission implies…

Statistical Mechanics · Physics 2015-06-16 Denis Bernard , Benjamin Doyon

We introduce a framework to identify Fluctuation Relations for vector-valued observables in physical systems evolving through a stochastic dynamics. These relations arise from the particular structure of a suitable entropic functional and…

Statistical Mechanics · Physics 2025-10-22 Raphael Chetrite , Stefano Marcantoni

We present a numerical study of two-dimensional turbulent flows in the enstrophy cascade regime, with different large-scale forcings and energy sinks. In particular, we study the statistics of more-than-differentiable velocity fluctuations…

Chaotic Dynamics · Physics 2009-11-07 L. Biferale , M. Cencini , A. Lanotte , D. Vergni

In one-dimensional random walks, the waiting time for each direction transitions is the same, even in the presence of bias, as a consequence of the microscopic-reversibility. We study the symmetry breaking of forward/ backward transition…

Statistical Mechanics · Physics 2020-10-28 Jaeoh Shin , Anatoly B. Kolomeisky

Supersymmetry and Lorentz invariance are closely related as both are spacetime symmetries. Terms can be added to Lagrangians that explicitly break either supersymmetry or Lorentz invariance. It is possible to include terms which violate…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. S. Berger

Microreversibility rules the fluctuations of the currents flowing across open systems in nonequilibrium (or equilibrium) steady states. As a consequence, the statistical cumulants of the currents and their response coefficients at arbitrary…

Statistical Mechanics · Physics 2018-08-15 Maximilien Barbier , Pierre Gaspard

Employing an arbitrary velocity gauge transformation this contribution argues that the breaking of time symmetry is a natural consequence of irreversibility.

General Physics · Physics 2007-08-28 R Assumpcao

We develop an alternative approach to this field, which was to a large extent developed by Verbeure et al. It is meant to complement their approach, which is largely based on a non-commutative central limit theorem and coordinate space…

Mathematical Physics · Physics 2009-10-31 Manfred Requardt

We show that resonance phenomena can be treated as nonequilibrium phase transitions. Resonance phenomena, similar to equilibrium phase transitions, are accompanied by some kind of symmetry breaking and can be characterized by order…

Mesoscale and Nanoscale Physics · Physics 2018-02-16 V. I. Yukalov , E. P. Yukalova

We unveil the universal (model-independent) symmetry satisfied by Schwinger-Keldysh quantum field theories whenever they describe equilibrium dynamics. This is made possible by a generalization of the Schwinger-Keldysh path-integral…

Statistical Mechanics · Physics 2018-02-02 Camille Aron , Giulio Biroli , Leticia F. Cugliandolo

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

We show that in driven systems the Gaussian nature of the fluctuating force and time-reversibility are equivalent properties. This result together with the potential condition of the external force drastically restricts the form of the…

Statistical Mechanics · Physics 2007-06-11 M. H. Vainstein , J. M. Rubi

We consider nonequilibrium systems with complex dynamics in stationary states with large fluctuations of intensive quantities (e.g. the temperature, chemical potential, or energy dissipation) on long time scales. Depending on the…

Statistical Mechanics · Physics 2009-11-07 C. Beck , E. G. D. Cohen

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · Physics 2008-10-08 G. Gallavotti

Statistical systems, in which spontaneous symmetry breaking can be accompanied by spontaneous local symmetry restoration, are considered. A general approach to describing such systems is formulated, based on the notion of weighted Hilbert…

Statistical Mechanics · Physics 2010-01-26 V. I. Yukalov

Phase transitions not allowed in equilibrium steady states may happen however at the fluctuating level. We observe for the first time this striking and general phenomenon measuring current fluctuations in an isolated diffusive system. While…

Statistical Mechanics · Physics 2011-10-31 Pablo I. Hurtado , Pedro L. Garrido

The structure of very complicated irregular "microscopic" (local) entropy fluctuations around a big separated "macroscopic" (global) fluctuation in the statistical equilibrium was studied in numerical experiments on a simple 2--freedom…

Chaotic Dynamics · Physics 2007-05-23 Boris Chirikov , Oleg Zhirov

From its inception in statistical physics to its role in the construction and in the development of the asymmetric Yang-Mills phase in quantum field theory, the notion of spontaneous broken symmetry permeates contemporary physics. This is…

High Energy Physics - Theory · Physics 2016-11-23 Francois Englert

Cyclic structure and dynamics are of great interest in both the fields of stochastic processes and nonequilibrium statistical physics. In this paper, we find a new symmetry of the Brownian motion named as the quasi-time-reversal invariance.…

Probability · Mathematics 2017-04-27 Hao Ge , Chen Jia , Da-Quan Jiang