Nonlinear differential equations based on nonextensive Tsallis entropy and physical applications

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dc.creatorMendes, R. S.
dc.creatorPedron, I. T.
dc.date1999-04-01
dc.date.accessioned2026-07-07T03:13:10Z
dc.date.available2026-07-07T03:13:10Z
dc.descriptionA family of nonlinear ordinary differential equations with arbitrary order is obtained by using nonextensive concepts related to the Tsallis entropy. Applications of these equations are given here. In particular, a connection between Tsallis entropy and the one-dimensional correlated anomalous diffusion equation is established. It is also developed explicitly a WKB-like method for second order equations and it is applied to solve approximately a class of equations that contains as a special case the Thomas-Fermi equation for an atom. It is expected that the present ideas can be useful in the discussion of other nonlinear contexts.
dc.descriptionNo figures; rsmendes@dfi.uem.br; thamar@dfi.uem.br
dc.identifierhttps://arxiv.org/abs/cond-mat/9904023
dc.identifierhttp://arxiv.org/abs/cond-mat/9904023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29193
dc.subjectStatistical Mechanics
dc.titleNonlinear differential equations based on nonextensive Tsallis entropy and physical applications
dc.typetext

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