Applying the Maximum Entropy Technique to the Gaussian Dispersion Plume Model

TL;DR

This paper demonstrates how the Maximum Entropy technique can be applied to derive and analyze various Gaussian and complex transport models, including advection and diffusion equations in multiple dimensions.

Contribution

It introduces the application of the MaxEnt method to derive and extend Gaussian dispersion and transport models, including multi-dimensional cases.

Findings

MaxEnt successfully derives Gaussian dispersion models.

Extension to complex transport phenomena demonstrated.

Potential for broader application discussed.

Abstract

The Maximum Entropy (MaxEnt) technique is applied to the derivation of the Gaussian Dispersion Plume Model as well as to more complex transport phenomena such as the one-dimensional advection equation, the one-dimensional diffusion equation, the one dimensional advection-diffusion equation, and finally to the multi-dimensional advection-diffusion equation. Further application is discussed.