Stochastic diffusion and stable noise-induced phenomena. Dybiec, B. & Gudowska-Nowak, E. 2011. doi abstract bibtex © 2012 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. We discuss ubiquity of noise effects generated in non-equilibrium systems driven by “stable” random forces interpreted as limit cases of pure jump stochastic processes. In particular, such an approach leads to a generalization of the common Brownian motion by a L’evy diffusion process. This chapter briefly analyzes common properties of the anomalous transport and investigates the asymptotic relations between properly scaled continuous time random walks (CTRW) and fractional Smoluchowski–Fokker–Planck equations.
@book{
title = {Stochastic diffusion and stable noise-induced phenomena},
type = {book},
year = {2011},
source = {Fractional Dynamics: Recent Advances},
id = {b620f931-4313-3530-9447-730ad4f88619},
created = {2020-10-30T10:12:15.323Z},
file_attached = {false},
profile_id = {f5390430-7317-381a-8c56-e25a878d78ef},
last_modified = {2020-10-30T10:12:15.323Z},
read = {false},
starred = {false},
authored = {true},
confirmed = {false},
hidden = {false},
private_publication = {false},
abstract = {© 2012 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. We discuss ubiquity of noise effects generated in non-equilibrium systems driven by “stable” random forces interpreted as limit cases of pure jump stochastic processes. In particular, such an approach leads to a generalization of the common Brownian motion by a L’evy diffusion process. This chapter briefly analyzes common properties of the anomalous transport and investigates the asymptotic relations between properly scaled continuous time random walks (CTRW) and fractional Smoluchowski–Fokker–Planck equations.},
bibtype = {book},
author = {Dybiec, B. and Gudowska-Nowak, E.},
doi = {10.1142/9789814340595_0002}
}
Downloads: 0
{"_id":"6EssXXMKKJBErkATJ","bibbaseid":"dybiec-gudowskanowak-stochasticdiffusionandstablenoiseinducedphenomena-2011","authorIDs":["sPptpFFWZR2BaRfRo"],"author_short":["Dybiec, B.","Gudowska-Nowak, E."],"bibdata":{"title":"Stochastic diffusion and stable noise-induced phenomena","type":"book","year":"2011","source":"Fractional Dynamics: Recent Advances","id":"b620f931-4313-3530-9447-730ad4f88619","created":"2020-10-30T10:12:15.323Z","file_attached":false,"profile_id":"f5390430-7317-381a-8c56-e25a878d78ef","last_modified":"2020-10-30T10:12:15.323Z","read":false,"starred":false,"authored":"true","confirmed":false,"hidden":false,"private_publication":false,"abstract":"© 2012 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. We discuss ubiquity of noise effects generated in non-equilibrium systems driven by “stable” random forces interpreted as limit cases of pure jump stochastic processes. In particular, such an approach leads to a generalization of the common Brownian motion by a L’evy diffusion process. This chapter briefly analyzes common properties of the anomalous transport and investigates the asymptotic relations between properly scaled continuous time random walks (CTRW) and fractional Smoluchowski–Fokker–Planck equations.","bibtype":"book","author":"Dybiec, B. and Gudowska-Nowak, E.","doi":"10.1142/9789814340595_0002","bibtex":"@book{\n title = {Stochastic diffusion and stable noise-induced phenomena},\n type = {book},\n year = {2011},\n source = {Fractional Dynamics: Recent Advances},\n id = {b620f931-4313-3530-9447-730ad4f88619},\n created = {2020-10-30T10:12:15.323Z},\n file_attached = {false},\n profile_id = {f5390430-7317-381a-8c56-e25a878d78ef},\n last_modified = {2020-10-30T10:12:15.323Z},\n read = {false},\n starred = {false},\n authored = {true},\n confirmed = {false},\n hidden = {false},\n private_publication = {false},\n abstract = {© 2012 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. We discuss ubiquity of noise effects generated in non-equilibrium systems driven by “stable” random forces interpreted as limit cases of pure jump stochastic processes. In particular, such an approach leads to a generalization of the common Brownian motion by a L’evy diffusion process. This chapter briefly analyzes common properties of the anomalous transport and investigates the asymptotic relations between properly scaled continuous time random walks (CTRW) and fractional Smoluchowski–Fokker–Planck equations.},\n bibtype = {book},\n author = {Dybiec, B. and Gudowska-Nowak, E.},\n doi = {10.1142/9789814340595_0002}\n}","author_short":["Dybiec, B.","Gudowska-Nowak, E."],"biburl":"https://bibbase.org/service/mendeley/f5390430-7317-381a-8c56-e25a878d78ef","bibbaseid":"dybiec-gudowskanowak-stochasticdiffusionandstablenoiseinducedphenomena-2011","role":"author","urls":{},"metadata":{"authorlinks":{"dybiec, b":"https://bibbase.org/service/mendeley/f5390430-7317-381a-8c56-e25a878d78ef"}},"downloads":0},"bibtype":"book","biburl":"https://bibbase.org/service/mendeley/f5390430-7317-381a-8c56-e25a878d78ef","creationDate":"2019-09-19T10:06:16.104Z","downloads":0,"keywords":[],"search_terms":["stochastic","diffusion","stable","noise","induced","phenomena","dybiec","gudowska-nowak"],"title":"Stochastic diffusion and stable noise-induced phenomena","year":2011,"dataSources":["zK4ePZCTNnfAyuvPh","ya2CyA73rpZseyrZ8","2252seNhipfTmjEBQ"]}