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In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with…

Statistical Mechanics · Physics 2009-11-13 Freddy Bouchet , Julien Barré , Antoine Venaille

We study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but the graph remains finite, the large-deviation rate…

Statistical Mechanics · Physics 2020-12-02 Davide Gabrielli , D. R. Michiel Renger

A system driven in the vicinity of its critical point by varying a relevant field in an arbitrary function of time is a generic system that possesses a long relaxation time compared with the driving time scale and thus represents a large…

Statistical Mechanics · Physics 2016-10-26 Baoquan Feng , Shuai Yin , Fan Zhong

We study the role of driving in a two-level system evolving under the presence of a structured environment. We find that adding a periodical modulation to the two-level system can greatly enhance the survival of the geometric phase for many…

Quantum Physics · Physics 2020-05-27 Paula I. Villar , Alejandro Soba

Sampling the collective, dynamical fluctuations that lead to nonequilibrium pattern formation requires probing rare regions of trajectory space. Recent approaches to this problem based on importance sampling, cloning, and spectral…

Statistical Mechanics · Physics 2022-02-14 Jiawei Yan , Hugo Touchette , Grant M. Rotskoff

We study abrupt changes in the dynamics and/or steady state of fermionic dissipative systems produced by small changes of the system parameters. Specifically, we consider open fermionic systems whose dynamics is described by master…

Quantum Physics · Physics 2013-02-18 Birger Horstmann , J. Ignacio Cirac , Géza Giedke

Analysis of mathematical models in ecology and epidemiology often focuses on asymptotic dynamics, such as stable equilibria and periodic orbits. However, many systems exhibit long transient behaviors where certain aspects of the dynamics…

Dynamical Systems · Mathematics 2025-11-06 Anthony Pasion , Felicia Magpantay

We show that optomechanical quantum systems can undergo dissipative phase transitions within the limit of small nonlinear interaction and strong external drive. In such a defined thermodynamical limit, the nonlinear interaction stabilizes…

Quantum Physics · Physics 2023-05-17 Fatemeh Bibak , Uroš Delić , Markus Aspelmeyer , Borivoje Dakić

We establish a set of nonequilibrium quantum phase transitions in the Lipkin-Meshkov-Glick model under monochromatic modulation of the inter-particle interaction. We show that the external driving induces a rich phase diagram that…

Quantum Physics · Physics 2013-05-20 G. Engelhardt , V. M. Bastidas , C. Emary , T. Brandes

This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many…

Statistical Mechanics · Physics 2007-11-06 Ajay Patwardhan

We analyze phase transitions in the conditional entropy of a sequence caused by a change in the conditional variables. Such transitions happen, for example, when training to learn the parameters of a system, since the transition from the…

Information Theory · Computer Science 2021-01-07 Kang Gao , Bertrand Hochwald

We address the nature of phase transitions in periodically driven systems coupled to a bath. The latter enables a synchronized non-equilibrium Floquet steady state at finite entropy, which we analyse for rapid drives within a…

Statistical Mechanics · Physics 2019-03-26 Steven Mathey , Sebastian Diehl

Phase transitions are emergent phenomena where microscopic interactions drive a disordered system into a collectively ordered phase. Near the boundary between two phases, the system can exhibit critical, scale-invariant behavior. Here, we…

Quantum Physics · Physics 2021-10-27 Yahel Horowicz , Or Katz , Oren Raz , Ofer Firstenberg

The nonequilibrium phase transition in a system of diffusing, coagulating particles in the presence of a steady input and evaporation of particles is studied. The system undergoes a transition from a phase in which the average number of…

Statistical Mechanics · Physics 2009-11-10 R. Rajesh

Driven many-body quantum systems where some parameter in the Hamiltonian is varied quasiperiodically in time may exhibit nonequilibrium steady states that are qualitatively different from their periodically driven counterparts. Here we…

Strongly Correlated Electrons · Physics 2018-12-27 Sourav Nandy , Arnab Sen , Diptiman Sen

Recent measurements of durations of non-equilibrium processes provide valuable information on microscopic mechanisms and energetics. Comprehensive theory for corresponding experiments so far is well developed for single-particle systems…

Statistical Mechanics · Physics 2020-09-04 David Voráč , Philipp Maass , Artem Ryabov

We study the time-dependent circuit complexity of the periodically driven transverse field Ising model using Nielsen's geometric approach. In the high-frequency driving limit the system is known to exhibit non-equilibrium phase transitions…

Quantum Physics · Physics 2020-11-18 Giancarlo Camilo , Daniel Teixeira

A cellular automaton model is presented for random walkers with biologically motivated interactions favoring local alignment and leading to collective motion or swarming behavior. The degree of alignment is controlled by a sensitivity…

Biological Physics · Physics 2009-10-30 H. J. Bussemaker , A. Deutsch , E. Geigant

Nonequilibrium steady states in driven diffusive systems exhibit many features which are surprising or counterintuitive, given our experience with equilibrium systems. We introduce the prototype model and review its unusual behavior in…

Statistical Mechanics · Physics 2015-06-25 B. Schmittmann , R. K. P. Zia

Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical…

Quantum Physics · Physics 2016-11-23 Albert Verdeny , Joaquim Puig , Florian Mintert