Microscopic Non-Universality versus Macroscopic Universality in Algorithms for Critical Dynamics

Details Microscopic Non-Universality versus Macroscopic Universality in Algorithms for Critical Dynamics Microscopic Non-Universality versus Macroscopic Universality in Algorithms for Critical Dynamics

1996-09-13

arxiv.org/abs/cond-mat/9609119v1

Phys.Rev. E 55 (1997) 3958

Physics

Condensed Matter

9 pages, 3 figures, RevTeX, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevE.55.3958

We study relaxation processes in spin systems near criticality after a quench from a high-temperature initial state. Special attention is paid to the stage where universal behavior, with increasing order parameter emerges from an early non-universal period. We compare various algorithms, lattice types, and updating schemes and find in each case the same universal behavior at macroscopic times, despite of surprising differences during the early non-universal stages.

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