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The nonequilibrium dynamic phase transition in ferromagnetic systems is reviewed. Very recent results of dynamic transition in kinetic Ising model and that in Heisenberg ferromagnet is discussed.

Statistical Mechanics · Physics 2013-02-15 Muktish Acharyya

The main objective of this paper is to show that two asymptotically stable steady states which belong to an analytic path of asymptotically stable steady states can be gradually transferred one to the other by successive changes of the…

Dynamical Systems · Mathematics 2007-05-23 E. Kaslik , A. M. Balint , A. Grigis , St. Balint

Biological systems perform an astonishing array of dynamical processes -- including development and repair, regulation, behavior and motor control, sensing and signaling, and adaptation, among others. Powered by the transduction of stored…

Soft Condensed Matter · Physics 2025-09-04 James Clarke , Jake McGrath , Colin Johnson , José Alvarado

We distinguish a mechanical representation of the world in terms of point masses with positions and momenta and the chemical representation of the world in terms of populations of different individuals, each with intrinsic stochasticity,…

Statistical Mechanics · Physics 2019-05-07 Hong Qian

The work treats systems combining slow and fast motions depending on each other where fast motions are perturbations of families of either dynamical systems or Markov processes with freezed slow variable. In the first case we consider…

Dynamical Systems · Mathematics 2013-02-21 Yuri Kifer

In recent years statistical physicists have developed {\it discrete} "particle-hopping" models of vehicular traffic, usually formulated in terms of {\it cellular automata}, which are similar to the microscopic models of interacting charged…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

We consider magnetic friction between two systems of $q$-state Potts spins which are moving along their boundaries with a relative constant velocity $v$. Due to the interaction between the surface spins there is a permanent energy flow and…

Statistical Mechanics · Physics 2011-04-15 Ferenc Igloi , Michel Pleimling , Loic Turban

Minimal models of active and driven particles have recently been used to elucidate many properties non-equilibrium systems. However, the relation between energy consumption and changes in the structure and transport properties of these…

Soft Condensed Matter · Physics 2017-08-03 Clara del Junco , Laura Tociu , Suriyanarayanan Vaikuntanathan

In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, like their local behavior near the critical point or…

Dynamical Systems · Mathematics 2013-10-07 Johanna D. García-Saldaña , Armengol Gasull

We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the…

Statistical Mechanics · Physics 2023-11-09 Adam J. McRoberts , Hongzheng Zhao , Roderich Moessner , Marin Bukov

Nonequilibrium conditions fundamentally change how systems undergo phase separation. In systems with temperature gradients, attractive particles have been shown to form periodic patterns and steady convective currents, but a clear…

Statistical Mechanics · Physics 2026-03-09 Meander Van den Brande , François Huveneers , Kyosuke Adachi

This letter investigates the molecular dynamics of inelastic disks without external forcing. By introducing a new observation frame with a rescaled time, we observe the virtual steady states converted from asymptotic energy dissipation…

Statistical Mechanics · Physics 2009-10-31 Teruhisa S. Komatsu

We investigate the macroscopic effects of the ingredients that drive the origin of species through sympatric speciation. In our model, sympatric speciation is obtained as we tune up the strength of competition between individuals with…

Populations and Evolution · Quantitative Biology 2009-11-13 K. Luz-Burgoa , S. Moss de Oliveira , Veit Schwämmle , J. S. Sá Martins

Under many circumstances many soft and hard materials are present in a puzzling wealth of non-equilibrium amorphous states, whose properties are not stationary and depend on preparation. They are often summarized in unconventional "phase…

Soft Condensed Matter · Physics 2021-04-20 Jesús Benigno Zepeda-López , Magdaleno Medina-Noyola

In this work, we study analytically the phase transitions in quasi-periodically driven one dimensional quantum critical systems that are described by conformal field theories (CFTs). The phase diagrams and phase transitions can be…

Statistical Mechanics · Physics 2025-03-13 Jiyuan Fang , Qi Zhou , Xueda Wen

An external description for aperiodically sampled MIMO linear systems has been developed. Emphasis is on the sampling period sequence, included among the variables to be handled. The computational procedure is simple and no use of…

Discrete Mathematics · Computer Science 2016-08-14 Amparo Fúster-Sabater

We present a new method of analysis of measure-preserving dynamical systems, based on frequency analysis and ergodic theory, which extends our earlier work [1]. Our method employs the novel concept of harmonic time average [2], and is…

Chaotic Dynamics · Physics 2014-07-29 Zoran Levnajić , Igor Mezić

For a network of discrete states with a periodically driven Markovian dynamics, we develop an inference scheme for an external observer who has access to some transitions. Based on waiting-time distributions between these transitions, the…

Statistical Mechanics · Physics 2024-09-12 Alexander M. Maier , Julius Degünther , Jann van der Meer , Udo Seifert

We uncover a finite-time dynamical phase transition in the thermal relaxation of a mean-field magnetic model. The phase transition manifests itself as a cusp singularity in the probability distribution of the magnetisation that forms at a…

Statistical Mechanics · Physics 2022-03-23 Jan Meibohm , Massimiliano Esposito

We identify a new scenario for dynamical phase transitions associated with time-integrated observables occurring in diffusive systems described by the macroscopic fluctuation theory. It is characterized by the pairwise meeting of first- and…

Statistical Mechanics · Physics 2023-07-19 Tal Agranov , Michael E. Cates , Robert L. Jack
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