Open AccessA Hamiltonian Model of Dissipative Wave-particle Interactions and the Negative-mass Effect
Author(s) -
A Zhmoginov
Publication year - 2011
Language(s) - English
Resource type - Reports
DOI - 10.2172/1007183
Subject(s) - physics , dissipative system , cyclotron resonance , cyclotron , kinetic energy , hamiltonian (control theory) , quantum electrodynamics , classical mechanics , atomic physics , nonlinear system , magnetic field , quantum mechanics , mathematical optimization , mathematics
The effect of radiation friction is included in the Hamiltonian treatment of wave-particle interactions with autoresonant phase-locking, yielding a generalized canonical approach to the problem of dissipative dynamics near a nonlinear resonance. As an example, the negativemass eff ect exhibited by a charged particle in a pump wave and a static magnetic field is studied in the presence of the friction force due to cyclotron radiation. Particles with negative parallel masses m! are shown to transfer their kinetic energy to the pump wave, thus amplifying it. Counterintuitively, such particles also undergo stable dynamics, decreasing their transverse energy monotonically due to cyclotron cooling, whereas some of those with positive m! undergo cyclotron heating instead, extracting energy from the pump wave