Fluctuations and stochastic noise in systems with hyperbolic mass transport

David Jou; Peter Galenko

doi:https://doi.org/10.1016/j.physa.2005.10.027

Fluctuations and stochastic noise in systems with hyperbolic mass transport

David Jou, Peter Galenko

Department of Physics

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

14 Citations (Scopus)

Abstract

A binary system in which the diffusion flux has a nonvanishing relaxation time is considered. We study the spectra of fluctuations of the solute density and the solute diffusion flux. The role of the diffusion flux is analyzed in two descriptions. First, the shortest observable time interval is shorter than the flux relaxation time, and the diffusion flux behaves as fluctuating independent variable. Second, the shortest observable time interval is longer than the flux relaxation time, and the diffusion flux behaves as a Markovian hydrodynamic noise. © 2005 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	149-158
Journal	Physica A: Statistical Mechanics and its Applications
Volume	366
DOIs	https://doi.org/10.1016/j.physa.2005.10.027
Publication status	Published - 1 Jul 2006

Keywords

Diffusion
Fluctuations
Stochastic noise

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https://doi.org/10.1016/j.physa.2005.10.027

Cite this

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abstract = "A binary system in which the diffusion flux has a nonvanishing relaxation time is considered. We study the spectra of fluctuations of the solute density and the solute diffusion flux. The role of the diffusion flux is analyzed in two descriptions. First, the shortest observable time interval is shorter than the flux relaxation time, and the diffusion flux behaves as fluctuating independent variable. Second, the shortest observable time interval is longer than the flux relaxation time, and the diffusion flux behaves as a Markovian hydrodynamic noise. {\textcopyright} 2005 Elsevier B.V. All rights reserved.",

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AU - Galenko, Peter

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AB - A binary system in which the diffusion flux has a nonvanishing relaxation time is considered. We study the spectra of fluctuations of the solute density and the solute diffusion flux. The role of the diffusion flux is analyzed in two descriptions. First, the shortest observable time interval is shorter than the flux relaxation time, and the diffusion flux behaves as fluctuating independent variable. Second, the shortest observable time interval is longer than the flux relaxation time, and the diffusion flux behaves as a Markovian hydrodynamic noise. © 2005 Elsevier B.V. All rights reserved.

KW - Diffusion

KW - Fluctuations

KW - Stochastic noise

U2 - https://doi.org/10.1016/j.physa.2005.10.027

DO - https://doi.org/10.1016/j.physa.2005.10.027

M3 - Article

VL - 366

SP - 149

EP - 158

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -

Fluctuations and stochastic noise in systems with hyperbolic mass transport

Abstract

Keywords

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