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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F13%3A%230004784" target="_blank" >RIV/47813059:19240/13:#0004784 - isvavai.cz</a>

Result on the web

<a href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.032107" target="_blank" >http://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.032107</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevE.87.032107" target="_blank" >10.1103/PhysRevE.87.032107</a>

Result language

angličtina

Original language name

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

Original language description

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

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

PHYSICAL REVIEW E

ISSN

1539-3755

e-ISSN

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Volume of the periodical

87

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

10

Pages from-to

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UT code for WoS article

000315741200001

EID of the result in the Scopus database

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