LANGEVIN EQUATION ON FRACTAL CURVES-Reference-Cited by-同舟云学术

LANGEVIN EQUATION ON FRACTAL CURVES

Published:2016-08-30 Issue:03 Volume:24 Page:1650028
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

SATIN SEEMA¹,GANGAL A. D.²

Affiliation:

1. Department of Physics, Tamkang University, Tamsui District, Taipei, Taiwan (ROC)

2. Indian Institute for Science Education and Research (IISER), Homi Bhabha Road, Pashan, Pune, India

Abstract

We analyze random motion of a particle on a fractal curve, using Langevin approach. This involves defining a new velocity in terms of mass of the fractal curve, as defined in recent work. The geometry of the fractal curve, plays an important role in this analysis. A Langevin equation with a particular model of noise is proposed and solved using techniques of the F[Formula: see text]-Calculus.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500286

Reference37 articles.

1. The Langevin Equation

2. Diffusion in disordered media

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