Fokker-Planck Equations, Entropy Production and Entropy Generation: A Review

Abstract

The Fokker-Planck equation depicts the evolution of Brownian particle probability density over time. Many real-world problems in physics, biology, chemistry, and engineering are modelled using defferential equations. In non-equilibrium thermo-dynamics, the energy generation and energy production approach has been very important tools in describing systems. We have written a brief review on both these methods and explained the connection with Fokker-Planck equations with the entropy generation and entropy production method. The principles of statistical physics allow a connection between the Fokker-Planck equations and the different entropy approaches. Our future work will be to apply the Fokker-Planck equations and the enytropy approaches to systems which exhibit a non-equilibrium physics behavior.