Non-Trivial Algebraic Decay in a Soluble Model of Coarsening
Résumé
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]
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