2014/11/30 by Sumiyoshi Abe, Akifumi Oohata
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Thermodynamics and Statistical Mechanics #Ansatz #Applied mathematics #Calculus of variations #Classical mechanics #Constraint (computer-aided design) #Equations of motion #Fractional Differential Equations Solutions #Geometry #Hamilton's principle #Mathematical analysis #Mathematical physics #Mathematics #Normalization (sociology) #Physics #Property (philosophy) #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #Transformation (genetics) #Variational principle #cond-mat.stat-mech #physics.class-ph
paper · pdf · doi:10.1088/1742-6596/604/1/012001
published as Journal of Physics: Conference Series Vol. 604 (2015) 012001. Open Access · 9 pages, no figures. For the proceedings of The 4th International Workshop on Statistical Physics and Mathematics for Complex Systems-SPMCS2014 (October 12-16, 2014, Yichang, China)
openalex publication_date 2015/04/17 · arxiv created 2015/04/20 · arxiv updated 2015/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In a recent paper (Abe S 2013 Phys. Rev. E 88 022142), a variational principle has been formulated for spatiotemporally-fractional Fokker-Planck equations and applied to derivations of their approximate analytic solutions based on the Lévy Ansatz. Here, the problem of the constraint associated with normalization condition on a probability distribution behind the principle is discussed. It is shown that the action functional possesses a specific transformation property in terms of an auxiliary field and the constraint turns out to have already been imposed implicitly in terms of such a structure.