Generalized Boltzmann equation describing the dynamics of bosons and fermions

DOI10.1016/0375-9601(95)00414-XzbMath1020.82612OpenAlexW1985211246WikidataQ126551985 ScholiaQ126551985MaRDI QIDQ1965625

Giorgio Kaniadakis

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)00414-x

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (14)

The Fokker-Planck equation for bosons in 2D: well-posedness and asymptotic behavior ⋮ On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility ⋮ Nonlinear mobility continuity equations and generalized displacement convexity ⋮ Kinetic approach to fractional exclusion statistics ⋮ Nonlinear Schrödinger equations within the Nelson quantization picture. ⋮ A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line ⋮ A monotone numerical flux for quasilinear convection diffusion equation ⋮ COMPOSITE LAGUERRE PSEUDOSPECTRAL METHOD FOR FOKKER-PLANCK EQUATIONS ⋮ Composite generalized Laguerre spectral method for nonlinear Fokker-Planck equations on the whole line ⋮ 1D nonlinear Fokker-Planck equations for fermions and bosons ⋮ On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals ⋮ Multi-domain decomposition pseudospectral method for nonlinear Fokker-Planck equations ⋮ Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics ⋮ Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics

Cites Work

• The Fokker-Planck equation. Methods of solution and applications.
• Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I
• A Generalized Method of Field Quantization

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