Condensation vs. phase-ordering in the dynamics of first order transitions

Abstract

The origin of the non commutativity of the limits $t\to \infty$ and $N\to \infty$ in the dynamics of first order transitions is investigated. In the large-N model, i.e. $N\to \infty$ taken first, the low temperature phase is characterized by condensation of the large wave length fluctuations rather than by genuine phase-ordering as when $t\to \infty$ is taken first. A detailed study of the scaling properties of the structure factor in the large-N model is carried out for quenches above, at and below T_c. Preasymptotic scaling is found and crossover phenomena are related to the existence of components in the order parameter with different scaling properties. Implications for phase-ordering in realistic systems are discussed.

15 pages, 13 figures. To be published in Phys. Rev. E

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