Published September 1, 2021 | Version v1
Journal article

Low-temperature universal dynamics of the bidimensional Potts model in the large q limit

  • 1. Sorbonne Université, CNRS, UMR 7589, Laboratoire de Physique Théorique et Hautes Energies, 4 Place Jussieu, 75252 Paris Cedex 05 (France)

Description

We study the low temperature quench dynamics of the two-dimensional Potts model in the limit of a large number of states, q ≫ 1. We identify a q-independent crossover temperature (the pseudo spinodal) below which no high-temperature metastability stops the curvature driven coarsening process. At short length scales, the latter is decorated by freezing for some lattice geometries, notably the square one. With simple analytic arguments, we evaluate the relevant time-scale in the coarsening regime, which turns out to be of Arrhenius form and independent of q for large q. Once taken into account, dynamic scaling is universal. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-5468/ac0f67

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Statistical Mechanics
Journal Volume
2021
Journal Issue
9
Journal Page Range
[23 p.]
ISSN
1742-5468

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
53083351
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FREEZING; SCALING; TEMPERATURE RANGE 0065-0273 K; TEMPERATURE RANGE 0400-1000 K; TWO-DIMENSIONAL SYSTEMS
Descriptors DEC
CRYSTAL LATTICES; CRYSTAL STRUCTURE; PHASE TRANSFORMATIONS; TEMPERATURE RANGE