Non-Brownian transport in complex systems

J. Klafter; G. Zumofen; A. Blumen

doi:10.1016/0301-0104(93)85044-9

Non-Brownian transport in complex systems

J. Klafter, G. Zumofen, A. Blumen

Office of the President

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we review some approaches that lead to deviations from the well known Brownian motion. We focus on the less explored enhanced diffusion for which the mean-squared displacement is superlinear in time. Such a behavior appears to be generic in various nonlinear Hamiltonian systems. We discuss the Lévy walk scheme that gives rise to such enhancement and calculate the corresponding propagators. An application to a family of one-dimensional maps is presented.

Original language	English
Pages (from-to)	821-829
Number of pages	9
Journal	Chemical Physics
Volume	177
Issue number	3
DOIs	https://doi.org/10.1016/0301-0104(93)85044-9
State	Published - 1 Dec 1993

Access to Document

10.1016/0301-0104(93)85044-9

Cite this

@article{acc99d1f6fd94e23abd109414827e019,

title = "Non-Brownian transport in complex systems",

abstract = "In this paper we review some approaches that lead to deviations from the well known Brownian motion. We focus on the less explored enhanced diffusion for which the mean-squared displacement is superlinear in time. Such a behavior appears to be generic in various nonlinear Hamiltonian systems. We discuss the L{\'e}vy walk scheme that gives rise to such enhancement and calculate the corresponding propagators. An application to a family of one-dimensional maps is presented.",

author = "J. Klafter and G. Zumofen and A. Blumen",

year = "1993",

month = dec,

day = "1",

doi = "10.1016/0301-0104(93)85044-9",

language = "אנגלית",

volume = "177",

pages = "821--829",

journal = "Chemical Physics",

issn = "0301-0104",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Non-Brownian transport in complex systems

AU - Klafter, J.

AU - Zumofen, G.

AU - Blumen, A.

PY - 1993/12/1

Y1 - 1993/12/1

N2 - In this paper we review some approaches that lead to deviations from the well known Brownian motion. We focus on the less explored enhanced diffusion for which the mean-squared displacement is superlinear in time. Such a behavior appears to be generic in various nonlinear Hamiltonian systems. We discuss the Lévy walk scheme that gives rise to such enhancement and calculate the corresponding propagators. An application to a family of one-dimensional maps is presented.

AB - In this paper we review some approaches that lead to deviations from the well known Brownian motion. We focus on the less explored enhanced diffusion for which the mean-squared displacement is superlinear in time. Such a behavior appears to be generic in various nonlinear Hamiltonian systems. We discuss the Lévy walk scheme that gives rise to such enhancement and calculate the corresponding propagators. An application to a family of one-dimensional maps is presented.

UR - http://www.scopus.com/inward/record.url?scp=0000259007&partnerID=8YFLogxK

U2 - 10.1016/0301-0104(93)85044-9

DO - 10.1016/0301-0104(93)85044-9

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0000259007

VL - 177

SP - 821

EP - 829

JO - Chemical Physics

JF - Chemical Physics

SN - 0301-0104

IS - 3

ER -

Non-Brownian transport in complex systems

Abstract

Access to Document

Other files and links

Fingerprint

Cite this