Non-Trivial Algebraic Decay in a Soluble Model of Coarsening

A. Bray , Bernard Derrida (1, 2) , C Godréche

1 UPMC - Université Pierre et Marie Curie - Paris 6
2 LPS - Laboratoire de Physique Statistique de l'ENS

A non-trivial exponent β characterising non-equilibrium coarsening processes is calculated in a soluble model. For a spin model, the exponent describes how the fraction p 0 of spins which have never flipped (or, equivalently, the fraction of space which has never been traversed by a domain wall) depends on the characteristic domain scale L: p 0 L β-1 . For the one-dimensional time-dependent Ginzburg-Landau equation at zero temperature we show that the critical exponent β is the zero of a transcendental equation, and find β = 0.824 924 12....

Domaines: Physique [physics]

A. Bray, Bernard Derrida, C Godréche. Non-Trivial Algebraic Decay in a Soluble Model of Coarsening. EPL - Europhysics Letters, 1994, 27 (3), pp.175-180. ⟨10.1209/0295-5075/27/3/001⟩. ⟨hal-03285603⟩