Next Article in Journal
Quantropy
Next Article in Special Issue
Speed Gradient and MaxEnt Principles for Shannon and Tsallis Entropies
Previous Article in Journal
Thermodynamic Analysis about Nucleation and Growth of Cubic Boron Nitride Crystals in the hBN-Li3N System under High Pressure and High Temperature
Previous Article in Special Issue
A New Telegrapher’s-Poisson System in Semiconductor Theory: A Singular Perturbation Approach
Article Menu

Export Article

Open AccessArticle
Entropy 2015, 17(2), 763-771; doi:10.3390/e17020763

Fokker-Planck Equation and Thermodynamic System Analysis

1
Dipartimento Energia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
2
Dipartimento di Fisica, Università di Torino, via Giuria 1, 10125 Torino, Italy
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 23 November 2014 / Revised: 12 January 2015 / Accepted: 5 February 2015 / Published: 9 February 2015
(This article belongs to the Special Issue Entropic Aspects in Statistical Physics of Complex Systems)
View Full-Text   |   Download PDF [687 KB, uploaded 24 February 2015]

Abstract

The non-linear Fokker-Planck equation or Kolmogorov forward equation is currently successfully applied for deep analysis of irreversibility and it gives an excellent approximation near the free energy minimum, just as Boltzmann’s definition of entropy follows from finding the maximum entropy state. A connection to Fokker-Planck dynamics and the free energy functional is presented and discussed—this approach has been particularly successful to deal with metastability. We focus our attention on investigating and discussing the fundamental role of dissipation analysis in metastable systems. The major novelty of our approach is that the obtained results enable us to reveal an appealing, and previously unexplored relationship between Fokker-Planck equation and the associated free energy functional. Namely, we point out that the dynamics may be regarded as a gradient flux, or a steepest descent, for the free energy. View Full-Text
Keywords: entropy generation; Fokker-Planck equation; irreversible systems; non-equilibrium thermodynamics entropy generation; Fokker-Planck equation; irreversible systems; non-equilibrium thermodynamics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Lucia, U.; Gervino, G. Fokker-Planck Equation and Thermodynamic System Analysis. Entropy 2015, 17, 763-771.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top