Diffusive mixing and Tsallis entropy

Journal Article · Wed Apr 29 00:00:00 EDT 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PhysRevE.91.042143· OSTI ID:1236601

O'Malley, Daniel ^[1]; Vesselinov, Velimir V. ^[1]; Cushman, John H. ^[2]

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1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
2. Purdue Univ., West Lafayette, IN (United States)

Brownian motion, the classical diffusive process, maximizes the Boltzmann-Gibbs entropy. The Tsallis q-entropy, which is non-additive, was developed as an alternative to the classical entropy for systems which are non-ergodic. A generalization of Brownian motion is provided that maximizes the Tsallis entropy rather than the Boltzmann-Gibbs entropy. This process is driven by a Brownian measure with a random diffusion coefficient. In addition, the distribution of this coefficient is derived as a function of q for 1 < q < 3. Applications to transport in porous media are considered.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: AC52-06NA25396
• OSTI ID: 1236601
• Alternate ID(s): OSTI ID: 1182810
• Report Number(s): LA-UR--14-28031
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print) Journal Issue: 4 Vol. 91; ISSN 1539-3755; ISSN PLEEE8
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

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