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The influence of nonequilibrium bulk conditions on the properties of the interfaces exhibited by a kinetic Ising--like model system with nonequilibrium steady states is studied. The system is maintained out of equilibrium by perturbing the…

Statistical Mechanics · Physics 2009-11-10 P. I. Hurtado , P. L. Garrido , J. Marro

Scale invariance is a central organizing principle in physics, underlying phenomena that range from critical behaviour in statistical mechanics to transport and chaos in nonlinear dynamical systems. Here we present a unified and physically…

Statistical Mechanics · Physics 2026-02-23 Edson D. Leonel , Diego F. M. Oliveira

We study the relaxation of the bi-dimensional kinetically constrained spiral model. We show that due to the reversibility of the dynamic rules any unblocked state fully decorrelates in finite times irrespectively of the system being in the…

Statistical Mechanics · Physics 2009-09-28 Federico Corberi , Leticia F. Cugliandolo

We study the surface phase diagram of the three-dimensional kinetic Ising model below the equilibrium critical point subjected to a periodically oscillating magnetic field. Changing the surface interaction strength as well as the period of…

Statistical Mechanics · Physics 2014-03-19 Keith Tauscher , Michel Pleimling

Pattern-forming nonequilibrium systems are ubiquitous in nature, from driven quantum matter and biological life forms to atmospheric and interstellar gases. Identifying universal aspects of their far-from-equilibrium dynamics and statistics…

Statistical Mechanics · Physics 2026-03-03 Vili Heinonen , Abel J. Abraham , Jonasz Słomka , Keaton J. Burns , Pedro J. Sáenz , Jörn Dunkel

Symmetry breaking plays a pivotal role in modern physics. Although self-similarity is also a symmetry and appears ubiquitously in nature, a fundamental question is whether self-similarity breaking makes sense or not. Here, by identifying…

Statistical Mechanics · Physics 2021-03-05 Weilun Yuan , Shuai Yin , Fan Zhong

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

Systems with nonreciprocal interactions generically display time-dependent states. These are routinely observed in finite systems, from neuroscience to active matter, in which globally ordered oscillations exist. However, the stability of…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

The symmetry of Ising model questions any single crossover scenario for supercritical fluids. In this work, we firstly study a pair of thermodynamic crossovers $L^\pm$ analytically for the Van der Waals class fluids. We uncover an emergent…

Statistical Mechanics · Physics 2025-09-23 Hong-Ming Cui , Zhong-Ying Fan

Dynamical scaling arises naturally in various many-body systems far from equilibrium. After a short historical overview, the elements of possible extensions of dynamical scaling to a local scale-invariance will be introduced.…

Statistical Mechanics · Physics 2017-07-10 Malte Henkel

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest neighbour spin exchanges at $T=\infty$ are investigated numerically from the point of view of a phase transition.…

Condensed Matter · Physics 2009-10-22 Nora Menyhárd

We study the dynamics of a spin-flip model with a mean field interaction. The system is non reversible, spacially inhomogeneous, and it is designed to model social interactions. We obtain the limiting behavior of the empirical averages in…

Probability · Mathematics 2015-05-14 Francesca Collet , Paolo Dai Pra , Elena Sartori

We study nonequilibrium dynamical properties of inhomogeneous systems, in particular at a free surface or at a defect plane. Thereby we consider nonconserved (model-A) dynamics of a system which is prepared in the high-temperature phase and…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling , Ferenc Igloi

We study nonequilibrium dynamical properties at a free surface after the system is quenched from the high-temperature phase into the critical point. We show that if the spatial surface correlations decay sufficiently rapidly the surface…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling , Ferenc Igloi

We investigate numerically the time dependence of "window" overlaps in a three-dimensional Ising spin glass below its transition temperature after a rapid quench. Using an efficient GPU implementation, we are able to study large systems up…

Statistical Mechanics · Physics 2015-04-09 Markus Manssen , Alexander K. Hartmann , A. P. Young

Many systems involve numerous interacting parts and the whole system can have properties that the individual parts do not. I take this novelty as the defining characteristic of an emergent property. Other characteristics associated with…

History and Philosophy of Physics · Physics 2025-11-05 Ross H. McKenzie

Out-of-equilibrium systems, inherently complex and challenging to understand, are prevalent across various disciplines, including physics where they arise in contexts such as fluid dynamics. In particular, critical out-of-equilibrium…

Statistical Mechanics · Physics 2025-10-14 J. M. Marcos

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the…

Statistical Mechanics · Physics 2018-11-21 Yusuke Tomita , Yoshihiko Nonomura

We consider time evolution in models close to integrable points with hidden symmetries that generate infinitely many local conservation laws that do not commute with one another. The system is expected to (locally) relax to a thermal…

Statistical Mechanics · Physics 2015-07-14 Bruno Bertini , Maurizio Fagotti

We investigate a nonequilibrium coarsening dynamics of a one-dimensional Ising spin system with chirality. Only spins at domain boundaries are updated so that the model undergoes a coarsening to either of equivalent absorbing states with…

Statistical Mechanics · Physics 2015-06-11 Mina Kim , Su-Chan Park , Jae Dong Noh