Nonlinear Fokker-Planck-Kolmogorov equation in the semiclassical coherent trajectory approximation

DOI10.1007/s11182-005-0175-1zbMath1103.82018OpenAlexW2005794098MaRDI QIDQ852160

A. S. Gogolev, A. Yu. Trifonov, A. V. Bezverbnyi, Roman O. Rezaev

Publication date: 27 November 2006

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-005-0175-1

zbMATH Keywords

Cauchy problemasymptotic methodsFokker-Planck-Kolmogorov equation

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35)

Cites Work

• Unnamed Item
• The Fokker-Planck equation. Methods of solution and applications
• Semiclassical trajectory-coherent approximation in quantum mechanics. I: High-order corrections to multidimensional time-dependent equations of Schrödinger type
• The trajectory-coherent approximation and the system of moments for the Hartree type equation
• Free energies based on generalized entropies and H-theorems for nonlinear Fokker–Planck equations
• Nonlinear Fokker–Planck equation exhibiting bifurcation phenomena and generalized thermostatistics