A Hamiltonian model of dissipative wave-particle interactions and the negative-mass effect

A. I. Zhmoginov; I. Y. Dodin; N. J. Fisch

doi:10.1016/j.physleta.2011.01.041

A Hamiltonian model of dissipative wave-particle interactions and the negative-mass effect

A. I. Zhmoginov
, I. Y. Dodin
, N. J. Fisch

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1236-1241
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	375
Issue number	9
DOIs	https://doi.org/10.1016/j.physleta.2011.01.041
State	Published - Feb 28 2011

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/j.physleta.2011.01.041

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title = "A Hamiltonian model of dissipative wave-particle interactions and the negative-mass effect",

abstract = "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.",

author = "Zhmoginov, \{A. I.\} and Dodin, \{I. Y.\} and Fisch, \{N. J.\}",

note = "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 .",

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doi = "10.1016/j.physleta.2011.01.041",

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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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M3 - Article

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SN - 0375-9601

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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 -

A Hamiltonian model of dissipative wave-particle interactions and the negative-mass effect

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