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We present an analytic approach to study concurrent influence of quenched non-magnetic site-dilution and finiteness of the lattice on the 2D XY model. Two significant deeply connected features of this spin model are: a special type of…

Statistical Mechanics · Physics 2010-07-06 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

We show by means of experiments, theory and simulations, that the slow dynamics of coarsening systems displays dynamic heterogeneity similar to that observed in glass-forming systems. We measure dynamic heterogeneity via novel multi-point…

We study domain growth properties of two species of particles executing biased diffusion on a half-filled square lattice, consisting of just two lanes. Driven in opposite directions by an external ``electric'' field, the particles form…

Statistical Mechanics · Physics 2009-11-07 J. T. Mettetal , B. Schmittmann , R. K. P. Zia

This study reports a general scenario for the out-of-equilibrium features of collapsing polymeric architectures. We use molecular dynamics simulations to characterize the coarsening kinetics, in bad solvent, for several macromolecular…

Soft Condensed Matter · Physics 2019-12-10 Mariarita Paciolla , Daniel J. Arismendi-Arrieta , Angel J. Moreno

The vortex velocity distribution function for a 2-dimensional coarsening non-conserved O(2) time-dependent Ginzburg-Landau model is determined numerically and compared to theoretical predictions. In agreement with these predictions the…

Soft Condensed Matter · Physics 2009-11-10 Hai Qian , Gene F. Mazenko

We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo…

Statistical Mechanics · Physics 2011-05-06 George L. Daquila , Uwe C. Tauber

The kinetic behavior of a three-dimensional off-lattice heteropolymer model is studied in terms of the time dependence of the average mean-square displacement between configurations. It is found that at short time-scales similar behavior is…

Soft Condensed Matter · Physics 2008-02-03 O. Sommelius

We study the dynamics of condensation of the inclusion process on a one-dimensional periodic lattice in the thermodynamic limit, generalising recent results on finite lattices for symmetric dynamics. Our main focus is on totally asymmetric…

Statistical Mechanics · Physics 2015-06-30 Jiarui Cao , Paul Chleboun , Stefan Grosskinsky

We investigate the process of coarsening via annihilation of vortex-antivortex pairs, following the quench to the condensate phase in a nonresonantly pumped polariton system. We find that the late-time dynamics is an example of universal…

Quantum Gases · Physics 2017-02-23 Michał Kulczykowski , Michał Matuszewski

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 use large-scale Monte Carlo simulations to obtain comprehensive results for domain growth and aging in the random field XY model in dimensions $d=2,3$. After a deep quench from the paramagnetic phase, the system orders locally via…

Statistical Mechanics · Physics 2021-10-26 Ramgopal Agrawal , Manoj Kumar , Sanjay Puri

We study the dynamics of macroscopically-coherent matter waves of an ultra-cold atomic spin-one or spinor condensate on a ring lattice of six sites and demonstrate a novel type of spatio-temporal internal Josephson effect. Using a discrete…

Quantum Gases · Physics 2015-06-12 Indubala I Satija , Carlos L. Pando , Eite Tiesinga

We investigate the effects of Hamiltonian and Langevin microscopic dynamics on the growth laws of domains in coarsening. Using a one-dimensional class of generalized $\phi^4$ models with power-law decaying interactions, we show that the two…

Statistical Mechanics · Physics 2022-11-28 Fabio Staniscia , Romain Bachelard , Thierry Dauxois , Giovanni De Ninno

We consider the coarsening properties of a kinetic Ising model with a memory field. The probability of a spin-flip depends on the persistence time of the spin in a state. The more a spin has been in a given state, the less the spin-flip…

Statistical Mechanics · Physics 2009-11-13 Fabio Caccioli , Silvio Franz , Matteo Marsili

We present a study of dynamical scaling and front motion in a one dimensional system that describes Rayleigh-Benard convection in a rotating cell. We use a model of three competing modes proposed by Busse and Heikes to which spatial…

Condensed Matter · Physics 2016-08-31 R. Gallego , M. San Miguel , R. Toral

With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of…

Computational Physics · Physics 2012-02-01 X. P. Qin , B. Zheng , N. J. Zhou

We suggest that coarsening dynamics can be described in terms of a generalized random walk, with the dynamics of the growing length $L(t)$ controlled by a drift term, $\mu(L)$, and a diffusive one, ${\cal D}(L)$. We apply this…

Statistical Mechanics · Physics 2018-09-19 Federico Corberi , Eugenio Lippiello , Paolo Politi

The evolution of a two-dimensional driven lattice-gas model is studied on an L_x X L_y lattice. Scaling arguments and extensive numerical simulations are used to show that starting from random initial configuration the model evolves via two…

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

We solve the dynamics of an ensemble of interacting rotors coupled to two leads at different chemical potential letting a current flow through the system and driving it out of equilibrium. We show that at low temperature the coarsening…

Disordered Systems and Neural Networks · Physics 2015-03-17 Camille Aron , Giulio Biroli , Leticia F. Cugliandolo

Lattice growth models where uncorrelated random deposition competes with some aggregation dynamics that generates correlations are studied with rates of the correlated component decreasing as a power law. These models have anomalous…

Statistical Mechanics · Physics 2013-02-05 Fabio D. A. Aarao Reis