https://doi.org/10.1007/s100510051103
Short-time behavior of the kinetic spherical model with long-ranged interactions *
Department of Physics, Zhongshan University, Guangzhou 510275, P.R. China
Received:
17
September
1999
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
