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An interface description and numerical simulations of model A kinetics are used for the first time to investigate the intra-surface kinetics of phase ordering on corrugated surfaces. Geometrical dynamical equations are derived for the…

Statistical Mechanics · Physics 2015-06-25 Oliver Schoenborn , Rashmi C. Desai

We study the surface scaling behavior of a semi-infinite $d$-dimensional O(N) spin system in the presence of quenched random field and random anisotropy disorders. It is known that above the lower critical dimension $d_{\mathrm{lc}}=4$ the…

Disordered Systems and Neural Networks · Physics 2012-09-06 Andrei A. Fedorenko

The mechanism of appearance of exponentially large number of metastable states in magnetic phases of disordered Ising magnets with short-range random exchange is suggested. It is based on the assumption that transitions into inhomogeneous…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. N. Timonin

The time-dependent scaling of the thermoremanent and zero-field-cooled susceptiblities in ferromagnetic spin systems undergoing ageing after a quench to a temperature at or below criticality is studied. A recent debate on their…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Matthias Paessens , Michel Pleimling

We investigate the connection between a formal property of the critical behavior of several systems in the presence of quenched disorder, known as "dimensional reduction", and the presence in the same systems at zero temperature of…

Disordered Systems and Neural Networks · Physics 2015-06-11 Gilles Tarjus , Maxime Baczyk , Matthieu Tissier

Previous studies on the generalized XY model have concentrated on the equilibrium phase diagram and the equilibrium nature of distinct phases under varying parameter conditions. We direct our attention towards examining the systems…

Soft Condensed Matter · Physics 2024-04-19 Partha Sarathi Mondal , Pawan Kumar Mishra , Shradha Mishra

The dynamic scaling of curved interfaces presents features that are strikingly different from those of the planar ones. Spherical surfaces above one dimension are flat because the noise is irrelevant in such cases. Kinetic roughening is…

Statistical Mechanics · Physics 2009-11-13 Carlos Escudero

We investigate the dynamical fixed points of the zero temperature Glauber dynamics in Ising-like models. The stability analysis of the fixed points in the mean field calculation shows the existence of an exponent that depends on the…

Statistical Mechanics · Physics 2021-09-22 Reshmi Roy , Parongama Sen

We investigate the canonical equilibrium of systems with long-range forces in competition. These forces create a modulation in the interaction potential and modulated phases appear at the system scale. The structure of these phases…

Statistical Mechanics · Physics 2015-06-12 Romain Bachelard , F. Staniscia

A growth model which describes the deposition of particles (or the growth of a rigid crystal) on a disordered substrate is investigated. The dynamic renormalization group is applied to the stochastic growth equation using the Martin, Sigga,…

Condensed Matter · Physics 2009-10-22 Yan-Chr Tsai , Yonathan Shapir

We study some analytical properties of the solutions of the non perturbative renormalization group flow equations for a scalar field theory with $Z_2$ symmetry in the ordered phase, i.e. at temperatures below the critical temperature. The…

Statistical Mechanics · Physics 2011-11-15 Jean-Michel Caillol

We study the non-equilibrium relaxation of the spherical spin-glass model with p-spin interactions in the $N \rightarrow \infty$ limit. We analytically solve the asymptotics of the magnetization and the correlation and response functions…

Condensed Matter · Physics 2009-10-22 L. F. Cugliandolo , J. Kurchan

Using a cell dynamic system (CDS) simulation scheme, we investigate the phase-ordering dynamics of non-conserved O(n) models without topological defects, i.e. for $n > d+1$ where $d$ is the spatial dimensionality. In particular, we consider…

Condensed Matter · Physics 2009-10-28 F. Rojas , A. J. Bray

We analyze the violations of linear fluctuation-dissipation theorem (FDT) in the coarsening dynamics of the antiferromagnetic Ising model on percolation clusters in two dimensions. The equilibrium magnetic response is shown to be non linear…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. Butaud , R. Mélin

We obtain the steady-state phase diagram of a transverse field XY spin chain coupled at its ends to magnetic reservoirs held at different magnetic potentials. In the long-time limit, the magnetization bias across the system generates a…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Tharnier O. Puel , Stefano Chesi , Stefan Kirchner , Pedro Ribeiro

We show that the nonequilibrium dynamics of systems with many interacting elements located on a small-world network can be much slower than on regular networks. As an example, we study the phase ordering dynamics of the Ising model on a…

Disordered Systems and Neural Networks · Physics 2009-11-07 Denis Boyer , Octavio Miramontes

The nonexponential relaxation ocurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in…

Statistical Mechanics · Physics 2009-11-10 A. Perez-Madrid

We investigate three-dimensional O(N) spin models driven with a uniform velocity over a random field. Within a spin-wave approximation, it is shown that in the strong driving regime the model with N=2 exhibits a quasi-long-range order in…

Statistical Mechanics · Physics 2015-12-16 Taiki Haga

We investigate nonequilibrium behavior in (1+1)-dimensional stochastic field theories in the context of Ginzburg-Landau models at varying cooling rates. We argue that a reliable measure of the departure from thermal equilibrium can be…

Statistical Mechanics · Physics 2009-11-07 Carmen J. Gagne , Marcelo Gleiser

Using nonequilibrium dynamical mean-field theory, we study the isolated Hubbard model in a static electric field in the limit of weak interactions. Linear response behavior is established at long times, but only if the interaction exceeds a…

Strongly Correlated Electrons · Physics 2013-05-29 Martin Eckstein , Philipp Werner
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