Out-of-equilibrium mean-field dynamics of a model for wave-particle interaction

Abstract

The out-of-equilibrium mean-field dynamics of a model for wave-particle interaction is investigated. Such a model can be regarded as a general formulation for all those applications where the complex interplay between particles and fields is known to be central, e.g., electrostatic instabilities in plasma physics, particle acceleration and free-electron lasers (FELs). The latter case is here assumed as a paradigmatic example. A transition separating different macroscopic regimes is numerically identified and interpreted by making use of the so-called violent relaxation theory. In the context of free-electron lasers, such a theory is showed to be effective in predicting the saturated regime for energies below the transition. The transition is explained as a dynamical switch between two metastable regimes, and is related to the properties of a stationary point of an entropic functional.

8 pages, 10 figures. Updated version as accepted by the journal.

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Cited by in corpus (8)

• Scaling of the dynamics of homogeneous states of one-dimensional long-range interacting systems
• Dynamics and physical interpretation of quasi-stationary states in systems with long-range interactions
• Experimental perspectives for systems based on long-range interactions
• Phase transitions in simplified models with long-range interactions
• Statistical mechanics of collisionless relaxation in a noninteracting system
• Lyapunov Exponent and Criticality in the Hamiltonian Mean Field Model
• The vmf90 program for the numerical resolution of the Vlasov equation for mean-field systems
• Wave-particle Interactions in a Resonant System of Photons and Ion-solvated Water