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Physica A Statistical Mechanics and its Applications
Article . 2005 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2005
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Fractional Ginzburg–Landau equation for fractal media

Authors: Tarasov, Vasily E.; Zaslavsky, George M.;

Fractional Ginzburg–Landau equation for fractal media

Abstract

We derive the fractional generalization of the Ginzburg-Landau equation from the variational Euler-Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some simple solutions of the Ginzburg-Landau equation for fractal media are considered and different forms of the fractional Ginzburg-Landau equation or nonlinear Schrodinger equation with fractional derivatives are presented. The Agrawal variational principle and its generalization have been applied.

LaTeX, 16 pages, 2 figures

Keywords

Condensed Matter - Materials Science, Statistical Mechanics (cond-mat.stat-mech), Classical Physics (physics.class-ph), Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, Physics - Classical Physics, Mathematical Physics (math-ph), Nonlinear Sciences - Chaotic Dynamics, Condensed Matter - Other Condensed Matter, Chaotic Dynamics (nlin.CD), Condensed Matter - Statistical Mechanics, Mathematical Physics, Other Condensed Matter (cond-mat.other)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
179
Top 1%
Top 1%
Top 1%
Green
bronze