A unified view of transport equations

J. A. Secrest; J. M. Conroy; H. G. Miller

doi:10.1016/j.physa.2020.124403

A unified view of transport equations

J. A. Secrest, J. M. Conroy, H. G. Miller

Biochemistry, Chemistry & Physics

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

2 Scopus citations

Abstract

Distribution functions of many static transport equations are found using the Maximum Entropy Principle. The equations of constraint which contain the relevant dynamical information are simply the low-lying moments of the distributions. Systems subject to conservative forces have also been considered. In this approach, determining the solutions to the transport equations no longer requires solving a partial differential equation but instead experimentally determining the low-lying moments and potentials.

Original language	English
Article number	124403
Journal	Physica A: Statistical Mechanics and its Applications
Volume	547
DOIs	https://doi.org/10.1016/j.physa.2020.124403
State	Published - Jun 1 2020

Scopus Subject Areas

Statistics and Probability
Condensed Matter Physics

Keywords

Continuous media
Maximum entropy principle

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10.1016/j.physa.2020.124403

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title = "A unified view of transport equations",

abstract = "Distribution functions of many static transport equations are found using the Maximum Entropy Principle. The equations of constraint which contain the relevant dynamical information are simply the low-lying moments of the distributions. Systems subject to conservative forces have also been considered. In this approach, determining the solutions to the transport equations no longer requires solving a partial differential equation but instead experimentally determining the low-lying moments and potentials.",

keywords = "Continuous media, Maximum entropy principle",

author = "Secrest, {J. A.} and Conroy, {J. M.} and Miller, {H. G.}",

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AU - Miller, H. G.

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N2 - Distribution functions of many static transport equations are found using the Maximum Entropy Principle. The equations of constraint which contain the relevant dynamical information are simply the low-lying moments of the distributions. Systems subject to conservative forces have also been considered. In this approach, determining the solutions to the transport equations no longer requires solving a partial differential equation but instead experimentally determining the low-lying moments and potentials.

AB - Distribution functions of many static transport equations are found using the Maximum Entropy Principle. The equations of constraint which contain the relevant dynamical information are simply the low-lying moments of the distributions. Systems subject to conservative forces have also been considered. In this approach, determining the solutions to the transport equations no longer requires solving a partial differential equation but instead experimentally determining the low-lying moments and potentials.

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KW - Maximum entropy principle

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DO - 10.1016/j.physa.2020.124403

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JO - Physica A: Statistical Mechanics and its Applications

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A unified view of transport equations

Abstract

Scopus Subject Areas

Keywords

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