Published November 1, 2016 | Version v1
Journal article

Critical percolation in bidimensional coarsening

  • 1. Sorbonne Universités, Université Pierre et Marie Curie, Laboratoire de Physique Théorique et Hautes Energies, Tour 13, 5ème étage, 4 Place Jussieu, 75005 Paris France (France)

Description

I discuss a recently unveiled feature in the dynamics of two dimensional coarsening systems on the lattice with Ising symmetry: they first approach a critical percolating state via the growth of a new length scale, and only later enter the usual dynamic scaling regime. The time needed to reach the critical percolating state diverges with the system size. These observations are common to Glauber, Kawasaki, and voter dynamics in pure and weakly disordered systems. An extended version of this account appeared in 2016 C. R. Phys . . I refer to the relevant publications for details. (special issue on statphys 26)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-5468/2016/11/114001

Additional details

Publishing Information

Journal Title
Journal of Statistical Mechanics
Journal Volume
2016
Journal Issue
11
Journal Page Range
[14 p.]
ISSN
1742-5468

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
49077101
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GROWTH; ISING MODEL; LENGTH; SCALING; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS
Descriptors DEC
CRYSTAL LATTICES; CRYSTAL MODELS; CRYSTAL STRUCTURE; DIMENSIONS; MATHEMATICAL MODELS