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Progress of Theoretical Physics Supplement
Article
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arXiv.org e-Print Archive
Preprint . 2005
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Progress of Theoretical Physics Supplement
Article . 2006 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2005
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https://arxiv.org/pdf/cond-mat...
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Superstatistical Brownian Motion

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2006Embargo end date: 01 Jan 2005 English Publisher:Oxford University Press (OUP)Journal:Progress of Theoretical Physics Supplement, volume 162, pages 29-36 (issn: 0375-9687, Copyright policy )
Authors: Christian Beck;

doi: 10.1143/ptps.162.29 , 10.48550/arxiv.cond-mat/0508263

arXiv: http://arxiv.org/abs/cond-mat/0508263

Superstatistical Brownian Motion

Abstract

As a main example for the superstatistics approach, we study a Brownian particle moving in a d-dimensional inhomogeneous environment with macroscopic temperature fluctuations. We discuss the average occupation time of the particle in spatial cells with a given temperature. The Fokker-Planck equation for this problem becomes a stochastic partial differential equation. We illustrate our results using experimentally measured time series from hydrodynamic turbulence.

11 pages, 2 figures. To appear in the proceedings of the international workshop `Complexity and Nonextensivity', Kyoto, 14-18 March 2005 (Progr. Theor. Phys. Suppl.)

Related Organizations
Keywords

Condensed Matter - Mesoscale and Nanoscale Physics, Statistical Mechanics (cond-mat.stat-mech), Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, Condensed Matter - Statistical Mechanics

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 57
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
57
Top 10%
Top 10%
Average
Green
bronze