Short-time behavior of the kinetic spherical model with long-ranged interactions *
Department of Physics, Zhongshan University, Guangzhou 510275, P.R. China
Published online: 15 May 2000
The kinetic spherical model with long-ranged interactions and an arbitrary initial order m0 quenched from a very high temperature to T is solved. In the short-time regime, the bulk order increases with a power law in both the critical and phase-ordering dynamics. To the latter dynamics, a power law for the relative order is found in the intermediate time-regime. The short-time scaling relations of small m0 are generalized to an arbitrary m0 and all the time larger than tmic. The characteristic functions for the scaling of m0 and for are obtained. The crossover between scaling regimes is discussed in detail.
PACS: 64.60.Ht – Dynamic critical phenomena / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000