International Conference on Disorder and Chaos in honour of Giovanni Paladin

J. Phys. IV France 08 (1998) Pr6-93-Pr6-98
DOI: 10.1051/jp4:1998612

Coarsening in diluted systems

C. Castellano^{1, 2}, F. Corberi³, U. Marini Bettolo Marconi^{4, 5, 6} and A. Petri<sup>2, 5, 6

1</sup>  INFM, Unità di Salemo, 84081 Baronissi, Italy
²  CNR, Istituto di Acustica O.M. Corbino, via del Fosso del Cavaliere, 00133 Roma, Italy
³  Dipartimento di Fisica, Università di Napoli Federico II Mostra d'Oltremare, Pad. 20, 80125 Napoli, Italy
⁴  Dipartimento di Matematica e Fisica, Università di Camerino, via Madonna delle Carceri, 62032 Camerino, Italy
⁵  INFM, Unità di Camerino, 62032 Camerino, Italy
⁶  INFN, Sezione di Perugia, 06123 Perugia, Italy

Abstract
We investigate domain growth after a quench to the unstable region of the phase diagram on a lattice lacking translational invariance due to the presence of voids. The dynamical process is analyzed using a Ginzburg-Landau model with Langevin dynamics, studied numerically by means of a cell dynamical simulation in d = 2 for conserved order parameter at T_F = 0. We find that for short times ordering proceeds as on compact substrates (L(t) ≈ t^1/3) ; later on, when L(t) becomes comparable to the typical distance separating voids, coarsening occurs only via activated processes and for T_F = 0 the system freezes out of equilibrium.

© EDP Sciences 1998