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Dynamical symmetries are of considerable importance in elucidating the complex behaviour of strongly interacting systems with many degrees of freedom. Paradigmatic examples are cooperative phenomena as they arise in phase transitions, where…

Mathematical Physics · Physics 2015-11-16 Malte Henkel

The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform disorder is investigated by intensive Monte Carlo simulations. Taking into account finite-time corrections to scaling, simple ageing behaviour is…

Statistical Mechanics · Physics 2007-09-21 Florian Baumann , Malte Henkel , Michel Pleimling

We study the finite size fluctuations at the depinning transition for a one-dimensional elastic interface of size $L$ displacing in a disordered medium of transverse size $M=k L^\zeta$ with periodic boundary conditions, where $\zeta$ is the…

Statistical Mechanics · Physics 2013-12-09 A. B. Kolton , S. Bustingorry , E. E. Ferrero , A. Rosso

We study correlation properties of the generalized elastic model which accounts for the dynamics of polymers, membranes, surfaces and fluctuating interfaces, among others. We develop a theoretical framework which leads to the emergence of…

Statistical Mechanics · Physics 2012-03-19 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

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

The non-smooth dynamics is investigated for an elastic planar metainterface composed by two layers of buckling elements, each one allowing motion on one side only. Through the analogy between buckling and unilateral contact and by assuming…

Classical Physics · Physics 2022-12-13 Nikolin Hima , Francesco D' Annibale , Francesco Dal Corso

This work is designed to overview our present knowledge about universality classes occurring in nonequilibrium systems defined on regular lattices. In the first section I summarize the most important critical exponents, relations and the…

Statistical Mechanics · Physics 2016-08-31 Geza Odor

We study the critical dynamics of a scalar field theory with $Z_2$ symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the…

High Energy Physics - Phenomenology · Physics 2024-11-18 Leon J. Sieke , Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

When a periodic 1D system described by a tight-binding model is uniformly initialized with equal amplitudes at all sites, yet with completely random phases, it evolves into a thermal distribution with no spatial correlations. However, when…

Disordered Systems and Neural Networks · Physics 2010-12-09 Yaron Silberberg , Yoav Lahini , Yaron Bromberg , Eran Small , Roberto Morandotti

We study the system of nonisentropic thermoelasticity describing the motion of thermoelastic nonconductors of heat in two and three spatial dimensions, where the frame-indifferent constitutive relation generalizes that for compressible…

Analysis of PDEs · Mathematics 2020-09-24 Gui-Qiang G. Chen , Paolo Secchi , Tao Wang

We study the pinning-depinning phase transition of interfaces in the quenched Kardar-Parisi-Zhang model as the external driving force $F$ goes towards zero. For a fixed value of the driving force we induce depinning by increasing the…

Condensed Matter · Physics 2009-11-07 JJ Ramasco , JM Lopez , MA Rodriguez

Topological phase transitions track changes in topological properties of a system and occur in real materials as well as quantum engineered systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and…

Statistical Mechanics · Physics 2020-04-02 Paolo Molignini , R. Chitra , Wei Chen

Solids built out of active components can exhibit non-reciprocal elastic coefficients that give rise to non-Hermitian wave phenomena. Here, we investigate non-Hermitian effects present at the boundary of two-dimensional active elastic media…

Soft Condensed Matter · Physics 2020-09-16 Colin Scheibner , William T. M. Irvine , Vincenzo Vitelli

We investigate the static critical behaviour of a uniaxial magnetic layer, with finite thickness L in one direction, yet infinitely extended in the remaining d dimensions. The magnetic dipole-dipole interaction is taken into account. We…

Statistical Mechanics · Physics 2009-10-31 Michael Bulenda , Uwe C. T"auber , Franz Schwabl

We derive exact predictions for universal scaling exponents and scaling functions associated with the statistics of maximum velocities vm during avalanches described by the mean field theory of the interface depinning transition. In…

Disordered Systems and Neural Networks · Physics 2015-06-15 Michael LeBlanc , Luiza Angheluta , Karin Dahmen , Nigel Goldenfeld

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

A stochastic process, when subject to resetting to its initial condition at a constant rate, generically reaches a non-equilibrium steady state. We study analytically how the steady state is approached in time and find an unusual relaxation…

Statistical Mechanics · Physics 2015-05-29 Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

We investigate the influence of quenched disorder on the steady states of driven systems of the elastic interface with non-local hydrodynamic interactions. The generalized elastic model (GEM), which has been used to characterize numerous…

Statistical Mechanics · Physics 2023-08-31 Mohsen Ghasemi Nezhadhaghighi

Physical understanding of how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system, such as magnetohydrodynamic turbulence or turbulent binary fluid mixtures,…

Statistical Mechanics · Physics 2021-03-23 Sudip Mukherjee , Abhik Basu

We continue our study of the linear response of a nonequilibrium system. This Part II concentrates on models of open and driven inertial dynamics but the structure and the interpretation of the result remain unchanged: the response can be…

Statistical Mechanics · Physics 2010-05-02 Marco Baiesi , Eliran Boksenbojm , Christian Maes , Bram Wynants
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