Relaxation patterns and semi-Markov dynamics
Probability
2018-08-22 v2
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.
Cite
@article{arxiv.1506.02951,
title = {Relaxation patterns and semi-Markov dynamics},
author = {Mark M. Meerschaert and Bruno Toaldo},
journal= {arXiv preprint arXiv:1506.02951},
year = {2018}
}