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Related papers: Dynamic scaling of order parameter fluctuations in…

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In this work we study the consequences of a longitudinal Bjorken expansion and a Hubble-like temperature cooling scenario on a 1+1D non-linear model of the diffusive dynamics of fluctuations in the net-baryon density. The equilibrium…

Nuclear Theory · Physics 2023-02-01 Grégoire Pihan , Marcus Bluhm , Masakiyo Kitazawa , Taklit Sami , Marlene Nahrgang

The nonequilibrium critical dynamics of the 2D XY model is investigated numerically through Monte Carlo simulations and analytically in the spin-wave approximation. We focus in particular on the behaviour of the two-time response and…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Peter C. W. Holdsworth , Mauro Sellitto

The order parameter for a continuous transition shows diverging fluctuation near the critical point. Here we show, through numerical simulations and scaling arguments, that the inequality (or variability) between the values of an order…

Statistical Mechanics · Physics 2024-01-30 Soumyaditya Das , Soumyajyoti Biswas , Anirban Chakraborti , Bikas K. Chakrabarti

To analyze the $\pm J$ XY spin-glass in three dimensions, we verified a method aimed at obtaining a high-precision dynamical exponent $z$ from the correlation length in the nonequilibrium relaxation process. The obtained $z$ yielded…

Statistical Mechanics · Physics 2026-02-23 Yusuke Terasawa , Yukiyasu Ozeki

A dynamical system that undergoes a supercritical Hopf's bifurcation is perturbed by a multiplicative Brownian motion that scales with a small parameter $\epsilon$. The random fluctuations of the system at the critical point are studied…

Probability · Mathematics 2024-09-04 Michele Aleandri , Paolo Dai Pra

We present the first analytic study of finite-size effects on critical diffusion above and below T_c of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size…

Statistical Mechanics · Physics 2009-10-31 Wolfgang Koch , Volker Dohm

The real-time dynamics of chiral phase transition is investigated in a two-flavor ($N_f=2$) soft-wall AdS/QCD model. To understand the dynamics of thermalization, we quench the system from initial states deviating from the equilibrium…

High Energy Physics - Phenomenology · Physics 2023-04-19 Xuanmin Cao , Jingyi Chao , Hui Liu , Danning Li

Quantum criticality is a central concept in condensed matter physics, but the direct observation of quantum critical fluctuations has remained elusive. Here we present an x-ray diffraction study of the charge density wave (CDW) in 2H-NbSe2…

Strongly Correlated Electrons · Physics 2012-08-07 Yejun Feng , Jiyang Wang , R. Jaramillo , Jasper van Wezel , S. Haravifard , G. Srajer , Y. Liu , Z. -A. Xu , P. B. Littlewood , T. F. Rosenbaum

The dynamics of the spins in the Ising model are analyzed using a virtual walk scenario. The system is quenched from a very high temperature to a lower one using the Glauber scheme in one and two dimensions. A walk is associated with each…

Statistical Mechanics · Physics 2026-03-11 Amit Pradhan , Parongama Sen , Sagnik Seth

We investigate the dimensional dependence of dynamical fluctuations related to dynamic heterogeneity in supercooled liquid systems using kinetically constrained models. The $d$-dimensional spin-facilitated East model with embedded probe…

Statistical Mechanics · Physics 2017-09-13 Soree Kim , Dayton G. Thorpe , Juan P. Garrahan , David Chandler , YounJoon Jung

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

Statistical Mechanics · Physics 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

We analyse numerically the critical behavior of an absorbing phase transition in a conserved lattice gas in an external field. The external field is realized as a spontaneous creation of active particles which drives the system away from…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck

We discuss the universal scaling laws of order parameter fluctuations in any system in which the second-order critical behavior can be identified. These scaling laws can be derived rigorously for equilibrium systems when combined with the…

Nuclear Theory · Physics 2007-05-23 R. Botet , M. Ploszajczak

We study the non-equilibrium dynamics of one-dimensional Mott insulating bosons in the presence of a tunable effective electric field E which takes the system across a quantum critical point (QCP) separating a disordered and a translation…

Quantum Gases · Physics 2013-05-30 Michael Kolodrubetz , David Pekker , Bryan K. Clark , Krishnendu Sengupta

By considering the quench dynamics of two-dimensional frustrated Ising models through numerical simulations, we investigate the dynamical critical behavior on the multicritical Nishimori point (NP). We calculate several dynamical critical…

Statistical Mechanics · Physics 2024-09-13 Ramgopal Agrawal , Leticia F. Cugliandolo , Lara Faoro , Lev B. Ioffe , Marco Picco

Hysteresis is observed at second order phase transitions. Universal scaling formul\ae{} for the areas of hysteresis loops are written down. Critical exponents are defined, and related to other exponents for static and dynamic critical…

Condensed Matter · Physics 2007-05-23 Sourendu Gupta

Comprehensive Monte Carlo simulations of the short-time dynamic behaviour are reported for the three-dimensional Ising model at criticality. Besides the exponent $\theta$ of the critical initial increase and the dynamic exponent $z$, the…

Statistical Mechanics · Physics 2009-10-31 A. Jaster , J. Mainville , L. Schuelke , B. Zheng

The critical dynamics of conformal field theories on random surfaces is investigated beyond the previously studied dynamics of the overall area and the genus. It is found that the evolution of the order parameter in physical time performs a…

High Energy Physics - Theory · Physics 2025-11-04 Christof Schmidhuber

We study the nonequilibrium dynamics of the $q$-state Potts model following a quench from the high temperature disordered phase to zero temperature. The time dependent two-point correlation functions of the order parameter field satisfy…

Condensed Matter · Physics 2009-10-28 Clement Sire , Satya N. Majumdar

Emergent symmetry is one of the characteristic phenomena in deconfined quantum critical point (DQCP). As its nonequilibrium generalization, the dual dynamic scaling was recently discovered in the nonequilibrium imaginary-time relaxation…

Strongly Correlated Electrons · Physics 2022-03-22 Yu-Rong Shu , Shuai Yin