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Universal scaling laws only apply asymptotically near critical phase transitions. We propose a general scheme, based on normal form theory of renormalization group flows, for incorporating corrections to scaling that quantitatively describe…

Statistical Mechanics · Physics 2024-08-06 David Hathcock , James P. Sethna

Based on quasi-stationary distribution ideas, a general finite size scaling theory is proposed for discontinuous nonequilibrium phase transitions into absorbing states. Analogously to the equilibrium case, we show that quantities such as,…

Statistical Mechanics · Physics 2015-12-23 M. M. de Oliveira , M. G. E. da Luz , C. E. Fiore

The objective of statistical physics is to understand macroscopic behavior of a many-body system from the interactions of the constituents of that system. When many-body systems reach critical states, simple universal and scaling behaviors…

Physics and Society · Physics 2022-01-26 Chin-Kun Hu

An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and…

Statistical Mechanics · Physics 2009-11-07 M. R. Evans , Y. Kafri , E. Levine , D. Mukamel

Coarsening of an isolated far-from-equilibrium quantum system is a paradigmatic many-body phenomenon, relevant from subnuclear to cosmological lengthscales, and predicted to feature universal dynamic scaling. Here, we observe universal…

We investigate the critical behavior of systems exhibiting a continuous absorbing phase transition in the presence of a conserved field coupled to the order parameter. The results obtained point out the existence of a new universality class…

Statistical Mechanics · Physics 2009-10-31 Michela Rossi , Romualdo Pastor-Satorras , Alessandro Vespignani

Dynamical quantum phase transitions (DQPTs) at critical times appear as non-analyticities during nonequilibrium quantum real-time evolution. Although there is evidence for a close relationship between DQPTs and equilibrium phase…

Statistical Mechanics · Physics 2015-10-06 Markus Heyl

We provide a review on the physics associated with phase transitions in which continuous scale invariance is broken into discrete scale invariance. The rich features of this transition characterized by the abrupt formation of a geometric…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Omrie Ovdat , Eric Akkermans

Dynamical universality is the observation that the dynamical properties of different systems might exhibit universal behavior that are independent of the system details. In this paper, we study the long-time dynamics of an one-dimensional…

Quantum Gases · Physics 2020-04-08 Jie Ren , Qiaoyi Li , Wei Li , Zi Cai , Xiaoqun Wang

We describe the crossover from generalized hydrodynamics to conventional hydrodynamics in nearly integrable systems. Integrable systems have infinitely many conserved quantities, which spread ballistically in general. When integrability is…

Statistical Mechanics · Physics 2020-05-13 Aaron J. Friedman , Sarang Gopalakrishnan , Romain Vasseur

All random wave fields possess a network of phase singularities. We show that while the phase statistics within speckle patterns is generic, the statistics of the motion of phase singularities differs substantially for diffusive and…

Other Condensed Matter · Physics 2007-05-23 Sheng Zhang , Bing Hu , Patrick Sebbah , Azriel Z Genack

Unidirectionally coupled systems which exhibit phase transitions into an absorbing state are investigated at the multicritical point. We find that for initial conditions with isolated particles, each hierarchy level exhibits an…

Statistical Mechanics · Physics 2009-11-10 Sungchul Kwon , Gunter M. Schutz

We consider two mean-field like models which belong to the universality class of absorbing phase transitions with a conserved field. In both cases we derive analytically the order parameter as function of the control parameter and of an…

Statistical Mechanics · Physics 2015-06-24 S. Lubeck , A. Hucht

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

Statistical Mechanics · Physics 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Recent experimental and theoretical progress as well as the prospect of commercially viable quantum technologies have inspired great interest in the study of open quantum systems and their dynamics. Many open quantum systems are well…

Statistical Mechanics · Physics 2022-06-10 Marvin Syed , Tilman Enss , Nicolò Defenu

We cast a nonzero-temperature analysis of the jamming transition into the framework of a scaling ansatz. We show that four distinct regimes for scaling exponents of thermodynamic derivatives of the free energy such as pressure, bulk and…

Soft Condensed Matter · Physics 2024-08-30 Sean A. Ridout , Andrea J. Liu , James P. Sethna

Second-order phase transitions are characterised by critical scaling and universality. The singular behaviour of thermodynamic quantities at the transition, in particular, is determined by critical exponents of the universality class of the…

We study finite-time driving across second-order dissipative quantum phase transitions described by Lindblad dynamics. We show that the nonadiabatic entropy production, which quantifies deviations from the instantaneous nonequilibrium…

Quantum Physics · Physics 2025-12-05 Laetitia P. Bettmann , Artur M. Lacerda , Mark T. Mitchison , John Goold

A quantum system can undergo a continuous phase transition at the absolute zero of temperature as some parameter entering its Hamiltonian is varied. These transitions are particularly interesting for, in contrast to their classical finite…

Condensed Matter · Physics 2009-10-28 S. L. Sondhi , S. M. Girvin , J. P. Carini , D. Shahar

Bifurcations are one of the most remarkable features of dynamical systems. Corral et al. [Sci. Rep. 8(11783), 2018] showed the existence of scaling laws describing the transient (finite-time) dynamics in discrete dynamical systems close to…

Statistical Mechanics · Physics 2024-05-31 Alvaro Corral