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Foundation of fractional Langevin equation: Harmonization of a many-body problem

Lizana, Ludvig; Ambjörnsson, Tobias LU ; Taloni, Alessandro; Barkai, Eli and Lomholt, Michael A. (2010) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00 81(5).
Abstract
In this study we derive a single-particle equation of motion, from first principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-particle system with a general two-body interaction potential. Using a harmonization technique, we show that the resulting dynamical equation belongs to the class of fractional Langevin equations, a stochastic framework which has been proposed in a large body of works as a means of describing anomalous dynamics. Our work sheds light on the fundamental assumptions of these phenomenological models and a relation derived by Kollmann.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00
volume
81
issue
5
publisher
American Physical Society
external identifiers
  • wos:000278148400028
  • scopus:77952338160
ISSN
1539-3755
DOI
10.1103/PhysRevE.81.051118
language
English
LU publication?
yes
id
f0f5f653-08be-4c65-a51e-ff64168d7f2f (old id 1616662)
date added to LUP
2010-06-22 13:46:19
date last changed
2018-07-01 03:10:19
@article{f0f5f653-08be-4c65-a51e-ff64168d7f2f,
  abstract     = {In this study we derive a single-particle equation of motion, from first principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-particle system with a general two-body interaction potential. Using a harmonization technique, we show that the resulting dynamical equation belongs to the class of fractional Langevin equations, a stochastic framework which has been proposed in a large body of works as a means of describing anomalous dynamics. Our work sheds light on the fundamental assumptions of these phenomenological models and a relation derived by Kollmann.},
  author       = {Lizana, Ludvig and Ambjörnsson, Tobias and Taloni, Alessandro and Barkai, Eli and Lomholt, Michael A.},
  issn         = {1539-3755},
  language     = {eng},
  number       = {5},
  publisher    = {American Physical Society},
  series       = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00},
  title        = {Foundation of fractional Langevin equation: Harmonization of a many-body problem},
  url          = {http://dx.doi.org/10.1103/PhysRevE.81.051118},
  volume       = {81},
  year         = {2010},
}