Ensemble Inequivalence in Systems with Wave-Particle Interaction

The classical wave-particle Hamiltonian is considered in its generalized version, where two modes are assumed to interact with the co-evolving charged particles. The equilibrium statistical mechanics solution of the model is worked out analytically, both in the canonical and the microcanonical ensem...

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Bibliographic Details
Published in:arXiv.org 2014-02
Main Authors: Teles, Tarcísio N, Fanelli, Duccio, Ruffo, Stefano
Format: Article
Language:English
Subjects:
Charged particles
Free electron lasers
Laser applications
Particle interactions
Plasma physics
Statistical mechanics
Wave-particle interactions
Online Access:Get full text
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Summary:The classical wave-particle Hamiltonian is considered in its generalized version, where two modes are assumed to interact with the co-evolving charged particles. The equilibrium statistical mechanics solution of the model is worked out analytically, both in the canonical and the microcanonical ensembles. The competition between the two modes is shown to yield ensemble inequivalence, at variance with the standard scenario where just one wave is allowed to develop. As a consequence, both temperature jumps and negative specific heat can show up in the microcanonical ensemble. The relevance of these findings for both plasma physics and Free Electron Laser applications is discussed.
ISSN:2331-8422
DOI:10.48550/arxiv.1402.7012