Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics
From MaRDI portal
Publication:1841397
DOI10.1016/S0378-4371(00)00559-8zbMath0972.82059MaRDI QIDQ1841397
A. Daffertshofer, Till D. Frank
Publication date: 27 February 2001
Published in: Physica A (Search for Journal in Brave)
Related Items (17)
On a general link between anomalous diffusion and nonextensivity ⋮ A Fokker-Planck approach to canonical-dissipative Nambu systems: With an application to human motor control during dynamic haptic perception ⋮ Моделирование линейного отклика квантовой неэкстенсивной системы на динамическое внешнее возмущение ⋮ Strongly nonlinear stochastic processes in physics and the life sciences ⋮ Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method ⋮ Power-law distributions and fluctuation-dissipation relation in the stochastic dynamics of two-variable Langevin equations ⋮ Power-law behaviors from the two-variable Langevin equation: Ito’s and Stratonovich’s Fokker–Planck equations ⋮ VIRIAL THEOREM AND NON-EQUILIBRIUM CANONICAL-DISSIPATIVE DISTRIBUTIONS CHARACTERIZING PARKINSON TREMOR ⋮ \(H\)-theorem for nonlinear Fokker-Planck equations related to generalized thermostatistics ⋮ A general nonlinear Fokker-Planck equation and its associated entropy ⋮ Lyapunov and free energy functionals of generalized Fokker-Planck equations ⋮ A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations ⋮ Are power-law distributions an equilibrium distribution or a stationary nonequilibrium distribution? ⋮ Can Sobolev inequality be written for Sharma-Mittal entropy? ⋮ Generalized multivariate Fokker-Planck equations derived from kinetic transport theory and linear nonequilibrium thermodynamics ⋮ Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics ⋮ Interpretation of Lagrange multipliers of generalized maximum-entropy distributions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- The infinite number of generalized dimensions of fractals and strange attractors
- Advanced synergetics. Instability hierarchies of self-organizing systems and devices
- The Fokker-Planck equation. Methods of solution and applications.
- On nonlinear and nonextensive diffusion and the second law of thermodynamics
- Towards a comprehensive theory of brain activity: Coupled oscillator systems under external forces
- A dynamical model for mirror movements
- Impacts of noise on a field theoretical model of the human brain.
- Possible generalization of Boltzmann-Gibbs statistics.
- The Langevin and Fokker-Planck equations in the framework of a generalized statistical mechanics
- Generalized Boltzmann equation describing the dynamics of bosons and fermions
- A quantitative test of Gibbs' statistical mechanics
- Analysis of data sets of stochastic systems
- Itō-Langevin equations within generalized thermostatistics
- A family of nonextensive entropies
- Distributions and channel capacities in generalized statistical mechanics
- On the universality of thermodynamics' Legendre transform structure
- NONEXTENSIVE THERMOSTATISTICS AND FRACTALS
- Nonadditive measures of average charge for heterogeneous questionnaires
- On one-parameter-dependent generalizations of Boltzmann-Gibbs statistical mechanics
- Maximum entropy approach to stretched exponential probability distributions
- Non-equilibrium thermodynamics and anomalous diffusion
- Anomalous diffusion in linear shear flows
- Memory Effects in Irreversible Thermodynamics
- Brownian motion in a field of force and the diffusion model of chemical reactions
- Derivation of the phenomenological equations from the master equation
- Derivation of the phenomenological equations from the master equation
- Handbook of stochastic methods for physics, chemistry and natural sciences.
This page was built for publication: Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics
