منابع مشابه
Universality of Derrida Coarsening in the Triangular Potts Model
The temperature dependence of the dynamics of the fraction F (t) of persistent spins in the triangular Q-state Potts model is investigatedby large scale Monte Carlo simulations. After extending Derrida's approach of measuring the fraction of spins that remain in one phase to all Q low-temperaturephases, it is shown that the exponent of algebraic decay of F (t) is independent of temperature. In ...
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We study the fate of the 2d kinetic q-state Potts model after a sudden quench to zero temperature. Both ground states and complicated static states are reached with non-zero probabilities. These outcomes resemble those found in the quench of the 2d Ising model; however, the variety of static states in the q-state Potts model (with q ≥ 3) is much richer than in the Ising model, where static stat...
متن کاملCurvature-driven coarsening in the two-dimensional Potts model.
We study the geometric properties of polymixtures after a sudden quench in temperature. We mimic these systems with the q -states Potts model on a square lattice with and without weak quenched disorder, and their evolution with Monte Carlo simulations with nonconserved order parameter. We analyze the distribution of hull-enclosed areas for different initial conditions and compare our results wi...
متن کاملCoarsening in Stochastically Perturbed Ginzburg-landau-type Equations and Statistical Studies of the Potts Model
This work is devoted to the statistical description of certain stochastic partial differential equations (PDEs) which exhibit the so-called phase separation dynamics. In particular we consider the randomly perturbed scalar Ginzburg-Landau (or Allen-Cahn) equation (1.1) and the Cahn-Hilliard equation (1.2). Deterministic dynamics of these systems in certain asymptotic limits is quickly attracted...
متن کاملHigh spin systems with orbital degeneracy.
High-spin systems with orbital degeneracy are studied in the large spin limit. In the absence of Hund's coupling, the classical spin model is mapped onto disconnected orbital systems with spins up and down, respectively. The ground state of the isotropic model is an orbital valence bond state where each bond is an orbital singlet with parallel spins, and neighboring bonds interact antiferromagn...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2021
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.103.012119