Glassy states in lattice models with many coexisting crystalline phasesM. J. de Oliveira1, A. Petri2, 3 and T. Tomé1
1 Instituto de Física, Universidade de São Paulo Caixa Postal 66318, 05315-970 São Paulo, São Paulo, Brazil
2 CNR, Istituto "O. M. Corbino" - via del Fosso del Cavaliere 100, 00133 Roma, Italy
3 Unità INFM, Università "La Sapienza" - p.le Aldo Moro 2, 00185 Roma, Italy
(Received 21 May 2003; accepted in final form 31 October 2003)
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.
05.50.+q - Lattice theory and statistics (Ising, Potts, etc.).
61.43.Fs - Glasses.
64.60.-i - General studies of phase transitions.
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