On nonlinear and nonextensive diffusion and the second law of thermodynamics
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Publication:1574793
DOI10.1016/S0375-9601(00)00127-4zbMath0942.82025MaRDI QIDQ1574793
Publication date: 13 August 2000
Published in: Physics Letters. A (Search for Journal in Brave)
nonlinear diffusion processesnonlinear Fokker-Planck equationnonlinear master equationscanonical ensemble correspondence
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Cites Work
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- Synergetics. An introduction. Nonequilibrium phase transitions and self-organization in physics, chemistry, and biology. 3rd rev. and enl. ed
- The Fokker-Planck equation. Methods of solution and applications.
- On measures of information and their characterizations
- Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal
- Possible generalization of Boltzmann-Gibbs statistics.
- A quantitative test of Gibbs' statistical mechanics
- A family of nonextensive entropies
- Non-equilibrium thermodynamics and anomalous diffusion
- H-Theorem with Generalized Relative Entropies and the Tsallis Statistics
- Information gain within nonextensive thermostatistics
- Erratum: “Information gain within generalized thermostatistics” [J. Math. Phys. 39, 6490 (1998)]
- Random Walk and the Theory of Brownian Motion
- A Note on Bessel Functions of Purely Imaginary Argument
- Handbook of stochastic methods for physics, chemistry and natural sciences.
