Correlation function induced by a generalized diffusion equation with the presence of a harmonic potential
Abstract
An integrodifferential diffusion equation with linear force, based on the continuous time random walk model, is considered. The equation generalizes the ordinary and fractional diffusion equations, which includes short, intermediate and longtime memory effects described by the waiting time probability density function. Analytical expression for the correlation function is obtained and analyzed, which can be used to describe, for instance, internal motions of proteins. The result shows that the generalized diffusion equation has a broad application and it may be used to describe different kinds of systems.  Highlights: • Calculation of the correlation function. • The correlation function is connected to the survival probability. • The model can be applied to the internal dynamics of proteins.
 Authors:
 Publication Date:
 OSTI Identifier:
 22447591
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics; Journal Volume: 353; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATION FUNCTIONS; DIFFUSION; DIFFUSION EQUATIONS; GRAPH THEORY; HARMONIC POTENTIAL; PROBABILITY; PROBABILITY DENSITY FUNCTIONS; PROTEINS; RANDOMNESS
Citation Formats
Fa, Kwok Sau, Email: kwok@dfi.uem.br. Correlation function induced by a generalized diffusion equation with the presence of a harmonic potential. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2014.11.013.
Fa, Kwok Sau, Email: kwok@dfi.uem.br. Correlation function induced by a generalized diffusion equation with the presence of a harmonic potential. United States. doi:10.1016/J.AOP.2014.11.013.
Fa, Kwok Sau, Email: kwok@dfi.uem.br. 2015.
"Correlation function induced by a generalized diffusion equation with the presence of a harmonic potential". United States.
doi:10.1016/J.AOP.2014.11.013.
@article{osti_22447591,
title = {Correlation function induced by a generalized diffusion equation with the presence of a harmonic potential},
author = {Fa, Kwok Sau, Email: kwok@dfi.uem.br},
abstractNote = {An integrodifferential diffusion equation with linear force, based on the continuous time random walk model, is considered. The equation generalizes the ordinary and fractional diffusion equations, which includes short, intermediate and longtime memory effects described by the waiting time probability density function. Analytical expression for the correlation function is obtained and analyzed, which can be used to describe, for instance, internal motions of proteins. The result shows that the generalized diffusion equation has a broad application and it may be used to describe different kinds of systems.  Highlights: • Calculation of the correlation function. • The correlation function is connected to the survival probability. • The model can be applied to the internal dynamics of proteins.},
doi = {10.1016/J.AOP.2014.11.013},
journal = {Annals of Physics},
number = ,
volume = 353,
place = {United States},
year = 2015,
month = 2
}

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