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arXiv · 1506.02951

Relaxation patterns and semi-Markov dynamics

Mark M. Meerschaert·Bruno Toaldo
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Abstract

Exponential relaxation to equilibrium is a typical property of physical systems, but inhomogeneities are known to distort the exponential relaxation curve, leading to a wide variety of relaxation patterns. Power law relaxation is related to fractional derivatives in the time variable. More general relaxation patterns are considered here, and the corresponding semi-Markov processes are studied. Our method, based on Bernstein functions, unifies three different approaches in the literature.

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Mark M. Meerschaert, Bruno Toaldo. 2018-08-21. Relaxation patterns and semi-Markov dynamics. https://doi.org/10.1016/j.spa.2018.08.004

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