Next Article in Journal
Optimal Noise Benefit in Composite Hypothesis Testing under Different Criteria
Next Article in Special Issue
Increase in Complexity and Information through Molecular Evolution
Previous Article in Journal
Soft Magnetic Properties of High-Entropy Fe-Co-Ni-Cr-Al-Si Thin Films
Previous Article in Special Issue
Information and Selforganization: A Unifying Approach and Applications
Article Menu

Export Article

Open AccessArticle
Entropy 2016, 18(8), 309; doi:10.3390/e18080309

Potential of Entropic Force in Markov Systems with Nonequilibrium Steady State, Generalized Gibbs Function and Criticality

1,2,†,* and 1,†,*
1
Department of Applied Mathematics, University of Washington, Seattle, WA 98195, USA
2
Pacific Northwest National Laboratory, 902 Battelle Blvd, Richland, WA 99352, USA
These authors contributed equally to this work.
*
Authors to whom correspondence should be addressed.
Academic Editors: Hermann Haken and Juval Portugali
Received: 3 May 2016 / Revised: 6 August 2016 / Accepted: 15 August 2016 / Published: 18 August 2016
(This article belongs to the Special Issue Information and Self-Organization)
View Full-Text   |   Download PDF [797 KB, uploaded 18 August 2016]

Abstract

In this paper, we revisit the notion of the “minus logarithm of stationary probability” as a generalized potential in nonequilibrium systems and attempt to illustrate its central role in an axiomatic approach to stochastic nonequilibrium thermodynamics of complex systems. It is demonstrated that this quantity arises naturally through both monotonicity results of Markov processes and as the rate function when a stochastic process approaches a deterministic limit. We then undertake a more detailed mathematical analysis of the consequences of this quantity, culminating in a necessary and sufficient condition for the criticality of stochastic systems. This condition is then discussed in the context of recent results about criticality in biological systems. View Full-Text
Keywords: nonequilibrium steady states; stochastic nonequilibrium thermodynamics; generalized potentials; entropy nonequilibrium steady states; stochastic nonequilibrium thermodynamics; generalized potentials; entropy
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

Thompson, L.F.; Qian, H. Potential of Entropic Force in Markov Systems with Nonequilibrium Steady State, Generalized Gibbs Function and Criticality. Entropy 2016, 18, 309.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

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