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- W2057200268 abstract "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." @default.
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- W2057200268 date "2004-09-01" @default.
- W2057200268 modified "2023-09-29" @default.
- W2057200268 title "Diffusion on fractal phase spaces and entropy production" @default.
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- W2057200268 doi "https://doi.org/10.1016/j.physa.2004.04.021" @default.
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