TY - JOUR
T1 - A Hamiltonian model of dissipative wave-particle interactions and the negative-mass effect
AU - Zhmoginov, A. I.
AU - Dodin, I. Y.
AU - Fisch, N. J.
N1 - Funding Information:
This work was supported by the NNSA under the SSAA Program through DOE Research Grant No. DE-FG52-08NA28553 and by DOE through Contract No. DEAC02-76CH03073 .
PY - 2011/2/28
Y1 - 2011/2/28
N2 - 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 negative-mass effect 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.
AB - 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 negative-mass effect 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.
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U2 - 10.1016/j.physleta.2011.01.041
DO - 10.1016/j.physleta.2011.01.041
M3 - Article
AN - SCOPUS:79951510148
SN - 0375-9601
VL - 375
SP - 1236
EP - 1241
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 9
ER -