Brownian motion of fractal particles: Levy flights from white noise

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dc.creatorKolwankar, Kiran M.
dc.date2005-11-14
dc.date.accessioned2026-07-07T06:46:03Z
dc.date.available2026-07-07T06:46:03Z
dc.descriptionWe generalise the Langevin equation with Gaussian white noise by replacing the velocity term by a local fractional derivative. The solution of this equation is a Levy process. We further consider the Brownian motion of a fractal particle, for example, a colloidal aggregate or a biological molecule and argue that it leads to a Levy flight. This effect can also be described using the local fractional Langevin equation. The implications of this development to other complex data series are discussed.
dc.description5 pages, two columns
dc.identifierhttps://arxiv.org/abs/cond-mat/0511307
dc.identifierhttp://arxiv.org/abs/cond-mat/0511307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103218
dc.subjectStatistical Mechanics
dc.titleBrownian motion of fractal particles: Levy flights from white noise
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