Statistical mechanics and Vlasov equation allow for a simplified hamiltonian description of single pass free electron laser saturated dynamics

Abstract

A reduced Hamiltonian formulation to reproduce the saturated regime of a single pass free electron laser, around perfect tuning, is here discussed. Asymptotically, $N\_m$ particles are found to organize in a dense cluster, that evolves as an individual massive unit. The remaining particles fill the surrounding uniform sea, spanning a finite portion of phase space, approximately delimited by the average momenta $\omega \_+$ and $\omega \_-$. These quantities enter the model as external parameters, which can be self-consistently determined within the proposed theoretical framework. To this aim, we make use of a statistical mechanics treatment of the Vlasov equation, that governs the initial amplification process. Simulations of the reduced dynamics are shown to successfully capture the oscillating regime observed within the original $N$-body picture.

arXiv commentEuropean Physical Journal B in press (2006) in press

References in corpus (4)

• Statistical theory of high-gain free-electron laser saturation
• Phase transition in the collisionless regime for wave-particle interaction
• Kinetic limit of N-body description of wave-particle self- consistent interaction
• Long-time discrete particle effects versus kinetic theory in the self-consistent single-wave model

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