Next Article in Journal
Efficiency Bounds for Minimally Nonlinear Irreversible Heat Engines with Broken Time-Reversal Symmetry
Next Article in Special Issue
On the Rarefied Gas Experiments
Previous Article in Journal / Special Issue
Dynamic Maximum Entropy Reduction
Article Menu
Issue 7 (July) cover image

Export Article

Open AccessCommunication

A Note on the Entropy Force in Kinetic Theory and Black Holes

1
International Space Science Institute, 3012 Bern, Switzerland
2
Space Research Institute, Austrian Academy of Sciences, Schmiedlstr. 6, 8042 Graz, Austria
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Entropy 2019, 21(7), 716; https://doi.org/10.3390/e21070716
Received: 2 June 2019 / Revised: 12 July 2019 / Accepted: 19 July 2019 / Published: 23 July 2019
(This article belongs to the Special Issue Entropy and Non-Equilibrium Statistical Mechanics)
  |  
PDF [282 KB, uploaded 23 July 2019]

Abstract

The entropy force is the collective effect of inhomogeneity in disorder in a statistical many particle system. We demonstrate its presumable effect on one particular astrophysical object, the black hole. We then derive the kinetic equations of a large system of particles including the entropy force. It adds a collective therefore integral term to the Klimontovich equation for the evolution of the one-particle distribution function. Its integral character transforms the basic one particle kinetic equation into an integro-differential equation already on the elementary level, showing that not only the microscopic forces but the hole system reacts to its evolution of its probability distribution in a holistic way. It also causes a collisionless dissipative term which however is small in the inverse particle number and thus negligible. However it contributes an entropic collisional dissipation term. The latter is defined via the particle correlations but lacks any singularities and thus is large scale. It allows also for the derivation of a kinetic equation for the entropy density in phase space. This turns out to be of same structure as the equation for the phase space density. The entropy density determines itself holistically via the integral entropy force thus providing a self-controlled evolution of entropy in phase space. View Full-Text
Keywords: entropy force; non-equilibrium phenomena; kinetic theory; entropic phase space density; black hole entropy entropy force; non-equilibrium phenomena; kinetic theory; entropic phase space density; black hole 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

Share & Cite This Article

MDPI and ACS Style

Treumann, R.A.; Baumjohann, W. A Note on the Entropy Force in Kinetic Theory and Black Holes. Entropy 2019, 21, 716.

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