Title
Symmetric Fractional Diffusion and Entropy Production.
Abstract
The discovery of the entropy production paradox (Hoffmann et al., 1998) raised basic questions about the nature of irreversibility in the regime between diffusion and waves. First studied in the form of spatial movements of moments of H functions, pseudo propagation is the pre-limit propagation-like movements of skewed probability density function (PDFs) in the domain between the wave and diffusion equations that goes over to classical partial differential equation propagation of characteristics in the wave limit. Many of the strange properties that occur in this extraordinary regime were thought to be connected in some manner to this form of proto-movement. This paper eliminates pseudo propagation by employing a similar evolution equation that imposes spatial unimodal symmetry on evolving PDFs. Contrary to initial expectations, familiar peculiarities emerge despite the imposed symmetry, but they have a distinct character.
Year
DOI
Venue
2016
10.3390/e18070275
ENTROPY
Keywords
Field
DocType
fractional diffusion,entropy production paradox,pseudo propagation,symmetric fractional diffusion
Entropy production,Classical mechanics,Partial differential equation,Probability density function,Fractional diffusion,Mathematics,Evolution equation
Journal
Volume
Issue
ISSN
18
7
1099-4300
Citations 
PageRank 
References 
5
1.00
8
Authors
4
Name
Order
Citations
PageRank
Janett Prehl1284.43
Frank Boldt2141.99
Karl Heinz Hoffmann34111.54
Christopher Essex4368.98