Diffusive mixing and Tsallis entropy [electronic resource].
- Washington, D.C. : United States. Dept. of Energy, 2015. and Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
- Physical Description:
- Article numbers 042,143 : digital, PDF file
- Additional Creators:
- Los Alamos National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- 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.
- Published through SciTech Connect., 04/29/2015., "la-ur--14-28031", Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print) 91 4 ISSN 1539-3755; PLEEE8 AM, and Daniel O'Malley; Velimir V. Vesselinov; John H. Cushman.
- Funding Information:
- EAR1314828 and AC52-06NA25396
View MARC record | catkey: 23782578