Literature DB >> 17358293

Fractional Fokker-Planck dynamics: stochastic representation and computer simulation.

Marcin Magdziarz1, Aleksander Weron, Karina Weron.   

Abstract

A computer algorithm for the visualization of sample paths of anomalous diffusion processes is developed. It is based on the stochastic representation of the fractional Fokker-Planck equation describing anomalous diffusion in a nonconstant potential. Monte Carlo methods employing the introduced algorithm will surely provide tools for studying many relevant statistical characteristics of the fractional Fokker-Planck dynamics.

Year:  2007        PMID: 17358293     DOI: 10.1103/PhysRevE.75.016708

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  5 in total

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Authors:  S Burov; R Metzler; E Barkai
Journal:  Proc Natl Acad Sci U S A       Date:  2010-07-12       Impact factor: 11.205

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Journal:  J Comput Phys       Date:  2015-07-15       Impact factor: 3.553

3.  Clustered continuous-time random walks: diffusion and relaxation consequences.

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Journal:  Proc Math Phys Eng Sci       Date:  2012-02-01       Impact factor: 2.704

4.  FRACTIONAL PEARSON DIFFUSIONS.

Authors:  Nikolai N Leonenko; Mark M Meerschaert; Alla Sikorskii
Journal:  J Math Anal Appl       Date:  2013-07-15       Impact factor: 1.583

5.  Generalised Geometric Brownian Motion: Theory and Applications to Option Pricing.

Authors:  Viktor Stojkoski; Trifce Sandev; Lasko Basnarkov; Ljupco Kocarev; Ralf Metzler
Journal:  Entropy (Basel)       Date:  2020-12-18       Impact factor: 2.524

  5 in total

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