A quantitative test of Gibbs' statistical mechanics
From MaRDI portal
Publication:1965732
DOI10.1016/0375-9601(95)00640-OzbMath1020.82502OpenAlexW2120764468MaRDI QIDQ1965732
Héctor Vucetich, Angel Plastino, Angel Ricardo Plastino
Publication date: 8 February 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0375-9601(95)00640-o
Classical equilibrium statistical mechanics (general) (82B05) Foundations of equilibrium statistical mechanics (82B03)
Related Items (63)
Derivative pricing with non-linear Fokker-Planck dynamics ⋮ A new blackbody radiation law based on fractional calculus and its application to NASA COBE data ⋮ Non-Euclidean-normed statistical mechanics ⋮ Generalized solutions to nonlinear Fokker-Planck equations ⋮ Defect turbulence and generalized statistical mechanics ⋮ Remarks about the Tsallis formalism ⋮ An extensive study of Bose-Einstein condensation in liquid helium using Tsallis statistics ⋮ Anomalous diffusion coupled with Verhulst-like growth dynamics: exact time-dependent solutions ⋮ A revisit to the generalized radiation laws of a Kerr nonlinear blackbody ⋮ Solutions for a fractional nonlinear diffusion equation: Spatial time dependent diffusion coefficient and external forces ⋮ An insight to the nonextensive parameter in the actual gas ⋮ Reflections on the \(q\)-Fourier transform and the \(q\)-Gaussian function ⋮ The Tsallis-Laplace transform ⋮ Thermodynamic properties of the blackbody radiation: a Kaniadakis approach ⋮ Tsallis' statistics for long range interactions: gravity ⋮ \(Q\)-Fourier transform and its inversion-problem ⋮ Thermal radiation laws of a \(q\)-deformed boson system in \(m\) dimensions ⋮ An entropic form for NLFP with coulombic-like potential ⋮ A simple mathematical model for anomalous diffusion via Fisher's information theory ⋮ Nonextensive thermostatistical investigation of the blackbody radiation ⋮ Fluctuation-dissipation theorems for nonlinear Fokker-Planck equations of the Desai-Zwanzig type and Vlasov-Fokker-Planck equations ⋮ Stationary solution of NLFP with Coulombic potential ⋮ Exact solutions for a diffusion equation with a nonlinear external force ⋮ Single particle dynamics of many-body systems described by Vlasov-Fokker-Planck equations ⋮ Brownian particles with long- and short-range interactions ⋮ On the generalized distribution functions of quantum gases. ⋮ On the generalized blackbody distribution ⋮ Itō-Langevin equations within generalized thermostatistics ⋮ The transformation groupoid structure of the \(q\)-Gaussian family ⋮ On the cut-off prescriptions associated with power-law generalized thermostatistics ⋮ Short-time correlations of many-body systems described by nonlinear Fokker-Planck equations and Vlasov-Fokker-Planck equations ⋮ Non-linear kinetics underlying generalized statistics ⋮ \(H\)-theorem for nonlinear Fokker-Planck equations related to generalized thermostatistics ⋮ Normalized Tsallis entropy and its implications for the nonextensive thermostatistics ⋮ Phase space cell in nonextensive classical systems ⋮ Geometric study for the Legendre duality of generalized entropies and its application to the porous medium equation ⋮ Dynamics of normal and anomalous diffusion in nonlinear Fokker-Planck equations ⋮ \(q\)-Gaussians in the porous-medium equation: stability and time evolution ⋮ Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations ⋮ A general nonlinear Fokker-Planck equation and its associated entropy ⋮ A nonextensive approach to the dynamics of financial observables ⋮ H-theorem and generalized entropies within the framework of nonlinear kinetics ⋮ Phase space cell in nonextensive classical systems ⋮ Lyapunov and free energy functionals of generalized Fokker-Planck equations ⋮ A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations ⋮ Effective Markovian approximation for non-Gaussian noises: A path integral approach ⋮ On mixing and metaequilibrium in nonextensive systems ⋮ A Fokker-Planck equation for a piecewise entropy functional defined in different space domains. an application to solute partitioning at the membrane-water interface ⋮ Are power-law distributions an equilibrium distribution or a stationary nonequilibrium distribution? ⋮ Entropic nonextensivity: A possible measure of complexity ⋮ Kinetical foundations of non-conventional statistics ⋮ Nonextensive methods in turbulence and particle physics ⋮ On nonlinear and nonextensive diffusion and the second law of thermodynamics ⋮ A dynamical thermostatting approach to nonextensive canonical ensembles ⋮ Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal ⋮ Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics ⋮ Generalized multivariate Fokker-Planck equations derived from kinetic transport theory and linear nonequilibrium thermodynamics ⋮ Quantum evolution of power-law mixed states ⋮ A note on the Markov property of stochastic processes described by nonlinear Fokker-Planck equations ⋮ Financial market dynamics ⋮ Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics ⋮ Interpretation of Lagrange multipliers of generalized maximum-entropy distributions ⋮ \(q\)-generalized Bose-Einstein condensation based on Tsallis entropy
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some comments on Boltzmann-Gibbs statistical mechanics
- Stock exchange: a statistical model
- Possible generalization of Boltzmann-Gibbs statistics.
- The Langevin and Fokker-Planck equations in the framework of a generalized statistical mechanics
- Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups
- Anyonic realization of \(SU_q(N)\) quantum algebra
- Anyons and quantum groups
- Variational method in generalized statistical mechanics
- Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
- The classical N-body problem within a generalized statistical mechanics
This page was built for publication: A quantitative test of Gibbs' statistical mechanics