A symplectic, symmetric algorithm for spatial evolution of particles in a time-dependent field

Alberto Ruzzon (1, 2) , Yves Elskens (1) , Fabrice Doveil (1)

1 PIIM - Physique des interactions ioniques et moléculaires
2 Consorzio RFX - Ricerca Formazione Innovazione

A symplectic, symmetric, second-order scheme is constructed for particle evolution in a time-dependent field with a fixed spatial step. The scheme is implemented in one space dimension and tested, showing excellent adequacy to experiment analysis.

Mots clés: Symplectic integrator; Wave-particle interaction; Hamiltonian chaos; Resonance overlap; Traveling wave tube

Domaines: Physique Numérique [physics.comp-ph]; Physique des accélérateurs [physics.acc-ph]; Physique des plasmas [physics.plasm-ph]; Dynamique Chaotique [nlin.CD]

Alberto Ruzzon, Yves Elskens, Fabrice Doveil. A symplectic, symmetric algorithm for spatial evolution of particles in a time-dependent field. Commun. Nonlinear Sci. Numer. Simulat., 2012, 17 (2), pp.769-779. ⟨10.1016/j.cnsns.2011.06.006⟩. ⟨hal-00536792v2⟩