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Macroscopic finite size effects in relaxational processes

  • S. Havlin
  • A. Bunde
  • J. Klafter
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 519)

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 t x 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. These results are relevant to large-scale Monte-Carlo simulations and should be amenable to experiments in low-dimensional macroscopic systems and mesoscopic systems.

Keywords

Relaxational Process System Size Relaxation Function Finite System Macroscopic System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • S. Havlin
    • 1
    • 2
  • A. Bunde
    • 1
    • 2
  • J. Klafter
    • 3
  1. 1.Institut für Theoretische Physik IIIJustus-Liebig-Universität GiessenGiessenGermany
  2. 2.Minerva Center and Department of PhysicsBar-Ilan UniversityRamat GanIsrael
  3. 3.School of ChemistryTel Aviv UniversityTel AvivIsrael

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