Diffusion on fractal phase spaces and entropy production

N Lemke and R.M.c de Almeida

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 309-315

Abstract: Complex systems may show strongly non-exponential relaxation, the origins of these behavior seem to be related to the fractal structure of the phase space. In this article, we consider the diffusion on a dilute hypercube, this stochastic process is a coarse-grained model for the time evolution of a glassy system, where both the dynamics and the structure of the phase space was considered as simple as possible. We characterize this process using two quantities: a memory function and the Tsallis entropy. The first one is a measure of mixing while the second is related to non-extensivity. We characterize quantitatively their relationship. Finally, we discuss the implications for other glassy and complex systems.

Keywords: Complex systems; Tsallis entropy; Glassy systems (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:309-315

DOI: 10.1016/j.physa.2004.04.021

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