Macroscopic Finite Size Effects in Relaxational Processes
Statistical Mechanics
2009-10-31 v1
Abstract
We present results on dynamical processes that exhibit a stretched exponential relaxation. When the relaxation is a result of two competing exponential processes, the size of the system, although macroscopic, play a dominant role. There exist a crossover time tx that depends logarithmically on the size of the system, above which, the relaxation changes from a stretched exponential to a simple exponential decay. The decay rate also depends logarithmically on the size of the system. The results are relevant to large-scale Monte-Carlo simulations and should be amenable to experiments in low-dimensional macroscopic systems and mesoscopic systems.
Keywords
Cite
@article{arxiv.cond-mat/9904193,
title = {Macroscopic Finite Size Effects in Relaxational Processes},
author = {Shlomo Havlin and Armin Bunde and Joseph Klafter},
journal= {arXiv preprint arXiv:cond-mat/9904193},
year = {2009}
}
Comments
8 pages, 3 figures, Proceedings of Max Born Symposium, in press, Springer, NY (1999)