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.

Applying the Maximum Entropy Technique to the Gaussian Dispersion Plume Model

“…The constraints, which represent the limited amount of information known, may be the moments of the probability distribution function [35]. These constraints can be experimentally determined.…”

“…Since the MaxEnt solution is known, in general, all that must be done in order to determine the particular solution is to determine the constraints via the moments of the distribution. This was recently described by the authors ( [35]) where the partial differential equations of interest did not need to be solved. Instead the MaxEnt solution can be used, along with the experimentally determined low-lying moments, to describe the dynamics of the problem.…”