Anomalous Size Dependence of Relaxational Processes

Preprint

14 April 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9904195

Abstract

We consider relaxation processes that exhibit a stretched exponential behavior. We find that in those systems, where the relaxation arises from two competing exponential processes, the size of the system may play a dominant role. Above a crossover time tx that depends logarithmically on the size of the system the relaxation changes from a stretched exponential to a simple exponential decay, where the decay rate also depends logarithmically on the size of the system. This result is relevant to large-scale Monte-Carlo simulations and should be amenable to experimental verification in low-dimensional and mesoscopic systems.

Keywords

MONTE CARLO SIMULATIONS
DEPENDS LOGARITHMICALLY
STRETCHED EXPONENTIAL
RELAXATION PROCESSES
EXPONENTIAL BEHAVIOR
CONSIDER RELAXATION
ANOMALOUS SIZE
DECAY

All Related Versions

Version 1, 1999-04-14, ArXiv
Published version: Physical Review Letters, 78 (17), 3338.

This publication has 0 references indexed in Scilit: