Kinetic approach to fractional exclusion statistics

DOI10.1016/0550-3213(96)00040-5zbMath1002.82507arXivhep-th/9507119OpenAlexW2024728605MaRDI QIDQ1911373

A. Lavagno, Piero Quarati, Giorgio Kaniadakis

Publication date: 24 April 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9507119

zbMATH Keywords

thermodynamic propertiestransition probabilitiesHaldane exclusion principleHaldane Wu fractional exclusion statistics

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (17)

On the dynamics of the \(q\)-deformed logistic map ⋮ The q-deformed Tinkerbell map ⋮ A revisit to the generalized radiation laws of a Kerr nonlinear blackbody ⋮ DEFORMED QUANTUM STATISTICS IN TWO DIMENSIONS ⋮ Nonlinear Schrödinger equations within the Nelson quantization picture. ⋮ Thermostatistics of deformed bosons and fermions ⋮ Generalized classical, quantum and intermediate statistics and the Pólya urn model ⋮ The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa's approach and Galerkin method ⋮ A generalized statistical model for the size distribution of wealth ⋮ Non-linear kinetics underlying generalized statistics ⋮ \(H\)-theorem for nonlinear Fokker-Planck equations related to generalized thermostatistics ⋮ Generalized Quasi-classical Boltzmann Equation for Homogeneous Reacting Gases ⋮ H-theorem and generalized entropies within the framework of nonlinear kinetics ⋮ A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations ⋮ Entropic forms and related algebras ⋮ Non-extensive statistics and solar neutrinos ⋮ Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Haldane's fractional statistics and the Riemann-Roch theorem
• Fractional statistics in one dimension: View from an exactly solvable model
• Canonical BF-type topological field theory and fractional statistics of strings.
• Many-body states and operator algebra for exclusion statistics.
• Topology and fractional quantum Hall effect
• Generalized Boltzmann equation describing the dynamics of bosons and fermions
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Example of infinite statistics
• Statistical Mechanics for a Class of Quantum Statistics
• Statistical mechanics of anyons
• A Generalized Method of Field Quantization

This page was built for publication: Kinetic approach to fractional exclusion statistics