Ensemble Inequivalence in Systems with Wave-Particle Interaction

Abstract

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.

5 pages, 2 figures

References in corpus (4)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Diverging equilibration times in long-range quantum spin models
• Collisionless relaxation in non-neutral plasmas
• Statistical Mechanics of Unbound Two Dimensional Self-Gravitating Systems

Cited by in corpus (4)

• Ensemble inequivalence in a mean-field XY model with ferromagnetic and nematic couplings
• Ensemble Inequivalence and Maxwell Construction in the Self-Gravitating Ring Model
• Generalized maximum entropy approach to quasi-stationary states in long range systems
• Ensemble inequivalence and absence of quasi-stationary states in long-range random networks