On a general link between anomalous diffusion and nonextensivity
From MaRDI portal
Publication:4830679
DOI10.1063/1.1421062zbMath1059.82031OpenAlexW2024244955MaRDI QIDQ4830679
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1421062
Related Items
Some results for an \({\mathcal{N}}\)-dimensional nonlinear diffusion equation with radial symmetry ⋮ Generalized multivariate Fokker-Planck equations derived from kinetic transport theory and linear nonequilibrium thermodynamics ⋮ Nonlinear fractional diffusion equation: Exact results ⋮ Nonlinear diffusion equation, Tsallis formalism and exact solutions ⋮ Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics ⋮ Interpretation of Lagrange multipliers of generalized maximum-entropy distributions
Cites Work
- On the diffusion of biological populations
- Some comments on Boltzmann-Gibbs statistical mechanics
- On nonlinear and nonextensive diffusion and the second law of thermodynamics
- Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal
- Towards a comprehensive theory of brain activity: Coupled oscillator systems under external forces
- H-theorem for Fokker-Planck equations with drifts depending on process mean values
- Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics
- Impacts of noise on a field theoretical model of the human brain.
- Possible generalization of Boltzmann-Gibbs statistics.
- Analysis of data sets of stochastic systems
- A family of nonextensive entropies
- Distributions and channel capacities in generalized statistical mechanics
- A note on the \(q\)-deformation-theoretic aspect of the generalized entropies in nonextensive physics
- Anomalous diffusion coupled with Verhulst-like growth dynamics: exact time-dependent solutions
- NONEXTENSIVE THERMOSTATISTICS AND FRACTALS
- Diffusion from a Fixed Surface with a Concentration-Dependent Coefficient
- Eigenvalues of the Barenblatt-Pattle similarity solution in nonlinear diffusion
- Evolution of a stable profile for a class of nonlinear diffusion equations with fixed boundaries
- On one-parameter-dependent generalizations of Boltzmann-Gibbs statistical mechanics
- Maximum entropy approach to stretched exponential probability distributions
- Non-equilibrium thermodynamics and anomalous diffusion
- Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in Nature
- Anomalous diffusion in linear shear flows
- DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT
- \(H\)-theorem for nonlinear Fokker-Planck equations related to generalized thermostatistics
- H-theorem for a mean field model describing coupled oscillator systems under external forces
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
