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Symmetries represent a fundamental constraint for physical systems and relevant new phenomena often emerge as a consequence of their breaking. An important example is provided by space- and time-translational invariance in statistical…

Statistical Mechanics · Physics 2012-12-21 Matteo Marcuzzi , Andrea Gambassi , Michel Pleimling

Recent progress in experimental techniques such as single particle tracking allows to analyze both nonequilibrium properties and approach to equilibrium. There are examples showing that processes occurring at finite timescales are…

Statistical Mechanics · Physics 2025-01-24 I. G. Marchenko , I. I. Marchenko , J. Łuczka , J. Spiechowicz

The nonlinear dynamics associated with sliding friction forms a broad interdisciplinary research field that involves complex dynamical processes and patterns covering a broad range of time and length scales. Progress in experimental…

Soft Condensed Matter · Physics 2016-06-02 N. Manini , O. M. Braun , E. Tosatti , R. Guerra , A. Vanossi

We introduce a field-theoretic approach for describing the critical behavior of nonextensive systems, systems displaying global correlations among their degrees of freedom, encoded by the nonextensive parameter $q$. As some applications, we…

High Energy Physics - Theory · Physics 2022-05-12 P. R. S. Carvalho

We develop the hypothesis that the dynamics of a given system may lead to the activity being constricted to a subset of space, characterized by a fractal dimension smaller than the space dimension. We also address how the response function…

Statistical Mechanics · Physics 2025-10-15 Henrique A. Lima , Edwin E. Mozo Luis , Ismael S. S. Carrasco , Alex Hansen , Fernando A. Oliveira

We investigate the quantum dynamics of many-body systems subject to local, i.e. restricted to a limited space region, time-dependent perturbations. If the perturbation drives the system across a quantum transition, an off-equilibrium…

Statistical Mechanics · Physics 2018-03-21 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We study the nonequilibrium critical behavior of the pair contact process with diffusion (PCPD) by means of nonperturbative functional renormalization group techniques. We show that usual perturbation theory fails because the effective…

Statistical Mechanics · Physics 2014-07-29 Damien Gredat , Hugues Chaté , Ivan Dornic , Bertrand Delamotte

We develop a theory of finite-time scaling for dynamic quantum criticality by considering the competition among an external time scale, an intrinsic reaction time scale and an imaginary time scale arising respectively from an external…

Statistical Mechanics · Physics 2013-03-11 Shuai Yin , Xizhou Qin , Chaohong Lee , Fan Zhong

We establish new scaling properties for the universality class of Model C, which describes relaxational critical dynamics of a nonconserved order parameter coupled to a conserved scalar density. We find an anomalous diffusion phase, which…

Statistical Mechanics · Physics 2013-11-05 David Mesterházy , Jan H. Stockemer , Leticia F. Palhares , Jürgen Berges

In these lectures we give an overview of nonequilibrium stochastic systems. In particular we discuss in detail two models, the asymmetric exclusion process and a ballistic reaction model, that illustrate many general features of…

Statistical Mechanics · Physics 2009-11-07 M. R. Evans , R. A. Blythe

We study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size $s$ follow $D(s) \sim s^\gamma$ and $v(s)…

Statistical Mechanics · Physics 2009-10-31 E. K. O. Hellen , T. P. Simula , M. J. Alava

We present a field theoretic renormalization group study for the critical behaviour of a uniformly driven diffusive system with quenched disorder, which is modelled by different kinds of potential barriers between sites. Due to their…

Statistical Mechanics · Physics 2015-06-25 V. Becker , H. K. Janssen

A simple expression for the non-equilibrium distribution function in ultra-fast transient processes is proposed. Postulating its dependence on temporal derivatives of the equilibrium integrals of motion, non-equilibrium analogues of the…

Statistical Mechanics · Physics 2025-02-18 K. S. Glavatskiy

We study the time evolution of classical spin systems with purely relaxational dynamics, quenched from T >> T_c to the critical point, in the semi-infinite geometry. Shortly after the quench, like in the bulk, a nonequilibrium regime…

Condensed Matter · Physics 2009-10-28 U. Ritschel , P. Czerner

Disordered viscoelastic materials are ubiquitous and exhibit fascinating invariant scaling properties. In a companion article, we have presented comprehensive new results for the critical behavior of the dynamic susceptibility of disordered…

Soft Condensed Matter · Physics 2022-03-01 Danilo B. Liarte , Stephen J. Thornton , Eric Schwen , Itai Cohen , Debanjan Chowdhury , James P. Sethna

New theoretical and numerical analysis of the one-dimensional contact process with quenched disorder are presented. We derive new scaling relations, different from their counterparts in the pure model, which are valid not only at the…

Condensed Matter · Physics 2016-08-15 Raffaele Cafiero , Andrea Gabrielli , Miguel A. Muñoz

The time evolution of correlation functions in statistical systems is described by an exact functional differential equation for the corresponding generating functionals. This allows for a systematic discussion of non-equilibrium physics…

High Energy Physics - Theory · Physics 2009-10-30 Christof Wetterich

A class of nonequilibrium models with short-range interactions and sequential updates is presented. The models describe one dimensional growth processes which display a roughening transition between a smooth and a rough phase. This…

Condensed Matter · Physics 2009-10-28 Uri Alon , Martin Evans , Haye Hinrichsen , David Mukamel

The crossing probability in the time direction is defined for an off-equilibrium reaction-diffusion system as the probability that the system of size L is still active at time t, in the finite-size scaling limit. Exact results are obtained…

Statistical Mechanics · Physics 2007-05-23 L. Turban

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta