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/ac0f67Additional 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