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Related papers: Coarsening dynamics for spiral and disordered wave…

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We study domain growth kinetics in a random-field system in the presence of a spatially correlated disorder $h_{i}(\vec r)$ after an instantaneous quench at a finite temperature $T$ from a random initial state corresponding to $T=\infty$.…

Statistical Mechanics · Physics 2025-05-13 Subhanker Howlader , Prasenjit Das , Manoj Kumar

After a zero temperature quench, we study the kinetics of the one-dimensional Ising model with long-range interactions between spins at distance $r$ decaying as $r^{-\alpha}$, with $\alpha \le 1$. As shown in our recent study [SciPost Phys…

Statistical Mechanics · Physics 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

The coarsening and wavenumber selection of striped states growing from random initial conditions are studied in a non-relaxational, spatially extended, and far-from-equilibrium system by performing large-scale numerical simulations of…

Pattern Formation and Solitons · Physics 2009-11-10 M. R. Paul , K-H. Chiam , M. C. Cross , P. F. Fischer

We study the active 4-state Potts model (APM) on the square lattice in which active particles have four internal states corresponding to the four directions of motion. A local alignment rule inspired by the ferromagnetic 4-state Potts model…

Statistical Mechanics · Physics 2020-07-31 Swarnajit Chatterjee , Matthieu Mangeat , Raja Paul , Heiko Rieger

We derive an effective equation of motion for binary Bose mixtures, which generalizes the Cahn-Hilliard description of classical binary fluids to superfluid systems. Within this approach, based on a microscopic Hamiltonian formulation, we…

Quantum Gases · Physics 2025-11-25 Elisabeth Gliott , Clara Piekarski , Nicolas Cherroret

We study the coarsening of two-dimensional oblique stripe patterns by numerically solving potential and nonpotential anisotropic Swift-Hohenberg equations. Close to onset, all models exhibit isotropic coarsening with a single characteristic…

Soft Condensed Matter · Physics 2009-11-13 J. R. Gomez-Solano , D. Boyer

The domain growth processes originating from noise-induced nonequilibrium phase transitions are analyzed, both for non-conserved and conserved dynamics. The existence of a dynamical scaling regime is established in the two cases, and the…

Condensed Matter · Physics 2009-10-31 M. Ibanes , J. Garcia-Ojalvo , R. Toral , J. M. Sancho

We extensively study the Toner-Tu-Swift-Hohenberg model of motile active matter by means of direct numerical simulations in a two-dimensional confined domain. By exploring the space of parameters of the model we investigate the emergence of…

Fluid Dynamics · Physics 2023-06-02 Leonardo Puggioni , Guido Boffetta , Stefano Musacchio

We present here new evidence that after a quench the planar Potts model on the square lattice relaxes towards a glassy state if the number of states q is larger than four. By extrapolating the finite size data we compute the average energy…

Statistical Mechanics · Physics 2007-05-23 Mario J. de Oliveira , Alberto Petri , Tania Tome

The real-time dynamics of local occupation numbers in a Hubbard model on a 6x6 square lattice is studied by means of the non-equilibrium generalization of the cluster-perturbation theory. The cluster approach is adapted to studies of…

Strongly Correlated Electrons · Physics 2013-05-15 Philipp Jurgenowski , Michael Potthoff

We quantify the effect of system size in the kinetics of domain growth in Ising model with 50:50 composition in two spatial dimensions. Our estimate of the exponent, $\alpha=0.334\pm0.004$, for the power law growth of linear domain size,…

Statistical Mechanics · Physics 2010-01-25 Suman Majumder , Subir K. Das

Aims. Qualitative analysis of key (but yet unappreciated) linear phenomena in stratified hydrodynamic Keplerian flows: (i) the occurrence of a vortex mode, as a consequence of strato-rotational balance, with its transient dynamics; (ii) the…

Astrophysics · Physics 2009-11-13 A. G. Tevzadze , G. D. Chagelishvili , J. -P. Zahn

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

We study the square-lattice extended Hubbard model with on-site $U$ and nearest-neighbor $V$ interactions by exact diagonalization. We show that non-equilibrium quench dynamics can help determine the equilibrium phase transition boundaries,…

Superconductivity · Physics 2023-08-21 Wei-Chih Chen , Yao Wang , Cheng-Chien Chen

We investigate, via numerical simulations, the phase ordering kinetics of a two- dimensional soft-spin O(2) Ginzburg-Landau model when a reversible mode cou- pling is included via the conserved conjugate momentum of the spin order parameter…

Statistical Mechanics · Physics 2015-05-20 Keekwon Nam , Bongsoo Kim , Sung Jong Lee

Recently, different numerical studies of coarsening in disordered systems have shown the existence of a crossover from an initial, transient, power-law domain growth to a slower, presumably logarithmic, growth. However, due to the very slow…

Statistical Mechanics · Physics 2013-04-01 Nasrin Afzal , Michel Pleimling

Kinetics of separation between the low and high density phases in a single component Lennard-Jones model has been studied via molecular dynamics simulations, at a very low temperature, in the space dimension $d=2$. For densities close to…

Statistical Mechanics · Physics 2017-04-26 Jiarul Midya , Subir K. Das

Neicu and Kudrolli observed experimentally spontaneous formation of the long-range orientational order and large-scale vortices in a system of vibrated macroscopic rods. We propose a phenomenological theory of this phenomenon, based on a…

Soft Condensed Matter · Physics 2016-08-31 Igor S. Aranson , Lev S. Tsimring

The evolution of extended states with magnetic field and disorder intensities is investigated for 2D lattice models. The floating-up picture is revealed when the shift of the extended state, relative to the density of states, is properly…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ana L. C. Pereira , P. A. Schulz

We present a comprehensive Monte Carlo study of the ordering kinetics in the $d=2$ ferromagnetic $q$-state clock model with nonconserved Glauber dynamics. In agreement with previous studies we find that $q \geqslant 5$ is characterized by…

Statistical Mechanics · Physics 2020-08-25 Swarnajit Chatterjee , Sanjay Puri , Raja Paul