J 2013

Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy

CREMASCHINI, Claudio and Massimo TESSAROTTO

Basic information

Original name

Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy

Name (in English)

Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy

Authors

CREMASCHINI, Claudio and Massimo TESSAROTTO

Edition

PHYSICAL REVIEW E, US - Spojené státy americké, 2013, 1539-3755

Other information

Type of outcome

Článek v odborném periodiku

Field of Study

10305 Fluids and plasma physics

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Organization unit

Institute of physics in Opava

UT WoS

000315741200001

Keywords in English

Information theory; Mechanics

Tags

Tags

International impact, Reviewed
Změněno: 29/3/2021 09:55, Mgr. Pavlína Jalůvková

Abstract

V originále

The Vlasov-Maxwell statistical treatment of relativistic charged particles subject to electromagnetic (EM) radiation reaction (RR) represents an unsolved conceptual challenge. In fact, as shown here, the customary point-particle treatment based on the Landau-Lifschitz (LL) equation leads to a generally nonconstant Boltzmann-Shannon (BS) entropy even in the absence of binary collisions. This conclusion appears to be in contradiction with the intrinsic microscopic reversibility of the underlying physicalsystem. In this paper the issue is addressed in the framework of a Hamiltonian treatment for extended charged particles in the presence of EM RR. It is shown that such a behavior actually has no physical ground, being a consequence of the asymptotic approximations involved in the construction of the LL equation. In particular, it is proved that the Hamiltonian structure of the underlying particle dynamics actually restores the conservation of the BS entropy. The connection between the tw