Fractional diffusion and entropy production

DOI10.1515/jnet.1998.23.2.166zbMath0912.76085OpenAlexW2061878175MaRDI QIDQ1272757

Karl Heinz Hoffmann, Christian Schulzky, Christopher Essex

Publication date: 21 March 1999

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1998.23.2.166

zbMATH Keywords

probability density functiongroup methodreversible wave propagation

Mathematics Subject Classification ID

Diffusion (76R50) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

Related Items

Time evolution of relative entropies for anomalous diffusion, New results on fractional power series: theories and applications, Generalized boundary conditions for the time-fractional advection diffusion equation, The entropy production paradox for fractional master equations, Wave-diffusion dualism of the neutral-fractional processes, Multi-dimensional \(\alpha\)-fractional diffusion-wave equation and some properties of its fundamental solution, Tsallis relative entropy and anomalous diffusion, Entropy production rate of a one-dimensional alpha-fractional diffusion process, The Cattaneo type space-time fractional heat conduction equation, A New Fractional Calculus Model for the Two-dimensional Anomalous Diffusion and its Analysis, Diffusion of oriented particles in porous media, Time-space fabric underlying anomalous diffusion, Genetic algorithm-based identification of fractional-order systems

Cites Work

• An amendment to the second law
• Scaling for random walks on Sierpinski carpets
• Fractional diffusion and wave equations