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arXiv · cond-mat/9904193

Macroscopic Finite Size Effects in Relaxational Processes

Shlomo Havlin·Armin Bunde·Joseph Klafter
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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.

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Shlomo Havlin, Armin Bunde, Joseph Klafter. 1999-04-14. Macroscopic Finite Size Effects in Relaxational Processes. https://doi.org/10.1007/bfb0106839

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