U. Ritschel et P. Czerner, MICROSCOPIC NONUNIVERSALITY VERSUS MACROSCOPIC UNIVERSALITY IN ALGORITHMS FOR CRITICAL-DYNAMICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(4), 1997, pp. 3958-3961
We study relaxation processes in spin systems near criticality after a
quench from a high-temperature initial state. Special attention is pa
id to the stage where universal behavior, with increasing order parame
ter m(t)-t(theta), emerges from an early nonuniversal period. We compa
re various algorithms, lattice types, and updating schemes and find in
each case the same universal behavior at macroscopic times, despite s
urprising differences during the early nonuniversal stages.