Name
Abstract | ||
|---|---|---|
The entropy production paradox for anomalous diffusion processes describes a phenomenon where one-parameter families of dynamical equations, falling between the diffusion and wave equations, have entropy production rates (Shannon, Tsallis or Renyi) that increase toward the wave equation limit unexpectedly. Moreover, also surprisingly, the entropy does not order the bridging regime between diffusion and waves at all. However, it has been found that relative entropies, with an appropriately chosen reference distribution, do. Relative entropies, thus, provide a physically sensible way of setting which process is "nearer" to pure diffusion than another, placing pure wave propagation, desirably, "furthest" from pure diffusion. We examine here the time behavior of the relative entropies under the evolution dynamics of the underlying one-parameter family of dynamical equations based on space-fractional derivatives. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.3390/e15082989 | ENTROPY |
Keywords | Field | DocType |
space-fractional diffusion equation,stable distribution,Kullback-Leibler entropy,Tsallis relative entropy | Statistical physics,Mathematical optimization,Wave propagation,Mathematical analysis,Entropy production,Tsallis entropy,Time evolution,Equations for a falling body,Wave equation,Min entropy,Mathematics,Anomalous diffusion | Journal |
Volume | Issue | ISSN |
15 | 8 | 1099-4300 |
Citations | PageRank | References |
9 | 0.99 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Janett Prehl | 1 | 28 | 4.43 |
| Frank Boldt | 2 | 14 | 1.99 |
| Christopher Essex | 3 | 36 | 8.98 |
| Karl Heinz Hoffmann | 4 | 41 | 11.54 |