Asymptotic solutions of a nonlinear diffusive equation in the framework of \(\kappa \)-generalized statistical mechanics

DOI10.1140/epjb/e2009-00159-6zbMath1188.82036arXiv0902.4775OpenAlexW1982910148WikidataQ62596826 ScholiaQ62596826MaRDI QIDQ977809

Antonio Maria Scarfone, Tatsuaki Wada

Publication date: 23 June 2010

Published in: The European Physical Journal B. Condensed Matter and Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4775

zbMATH Keywords

statistical physics

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Foundations of time-dependent statistical mechanics (82C03)

Related Items (10)

Deformed exponentials and applications to finance ⋮ Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions ⋮ On the \(\kappa\)-deformed cyclic functions and the generalized Fourier series in the framework of the \(\kappa\)-algebra ⋮ \(\kappa\)-deformed Fourier transform ⋮ Density matrix for a consistent non-extensive thermodynamics ⋮ Inhomogeneous Fokker-Planck equation from framework of Kaniadakis statistics ⋮ On the Einstein-Smoluchowski relation in the framework of generalized statistical mechanics ⋮ Extensions and solutions for nonlinear diffusion equations and random walks ⋮ A nonlinear drift which leads to \(\kappa \)-generalized distributions ⋮ Nonlinear diffusion equation with reaction terms: analytical and numerical results

Cites Work

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