2003/12/17 by M. J. de Oliveira, A. Petri, A Petri +2
Materials Science · Mathematics · Physics and Astronomy · #A priori and a posteriori #Lattice (music) #Limit (mathematics) #Material Dynamics and Properties #Range (aeronautics) #Relaxation (psychology) #Square lattice #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamic equilibrium #Thermodynamic limit #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i2003-10060-0
published as Europhys. Lett. 65 No. 1 (January 2004), p. 20 · 12 pages, 4 figures
openalex publication_date 2003/12/17 · arxiv created 2003/12/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the emergence of glassy states after a sudden cooling in lattice models with short-range interactions and without any a priori quenched disorder. The glassy state emerges whenever the equilibrium model possesses a sufficient number of coexisting crystalline phases at low temperatures, provided the thermodynamic limit be taken before the infinite time limit. This result is obtained through simulations of the time relaxation of the standard Potts model and some exclusion models equipped with a local stochastic dynamics on a square lattice.