Macroscopic Irreversibility and Decay to Kinetic Equilibrium of the 1‐Body PDF for Finite Hard‐Sphere Systems

Massimo Tessarotto and Claudio Cremaschini

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: The conditions for the occurrence of the so‐called macroscopic irreversibility property and the related phenomenon of decay to kinetic equilibrium which may characterize the 1‐body probability density function (PDF) associated with hard‐sphere systems are investigated. The problem is set in the framework of the axiomatic “ab initio” theory of classical statistical mechanics developed recently and the related establishment of an exact kinetic equation realized by the Master equation for the same kinetic PDF. As shown in the paper the task involves the introduction of a suitable functional of the 1‐body PDF, identified here with the Master kinetic information. It is then proved that, provided the same PDF is prescribed in terms of suitably smooth, i.e., stochastic, solution of the Master kinetic equation, the two properties indicated above are indeed realized.

Date: 2018
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2018/1931308

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:1931308

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().