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

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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

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.",

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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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A unified view of transport equations

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Keywords

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