Caldeira-Leggett model, Landau damping, and the Vlasov-Poisson system

PHYSICA D-NONLINEAR PHENOMENA

卷:240

Article

Morrison, P. J.¹ 

[1] Univ Texas Austin, Dept Phys, Austin, TX 78712 USA

关键词: Landau damping;    Continuum damping;    Quantum dissipation;    Lie-Poisson bracket;    Caldeira-Leggett;    Hamiltonian;   

DOI  :  10.1016/j.physd.2011.02.007

来源: Elsevier

【 摘 要 】

The Caldeira-Leggett Hamiltonian describes the interaction of a discrete harmonic oscillator with a continuous bath of harmonic oscillators. This system is a standard model of dissipation in macroscopic low temperature physics, and has applications to superconductors, quantum computing, and macroscopic quantum tunneling. The similarities between the Caldeira-Leggett model and the linearized Vlasov-Poisson equation are analyzed, and it is shown that the damping in the Caldeira-Leggett model is analogous to that of Landau damping in plasmas (Landau, 1946 [1]). An invertible linear transformation (Morrison and Pfirsch, 1992 [18]; Morrison, 2000 [19]) is presented that converts solutions of the Caldeira-Leggett model into solutions of the linearized Vlasov-Poisson system. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free