Caldeira-Leggett Model, Landau Damping, and the Vlasov-Poisson System
arXiv:1008.5190 · doi:10.1016/j.physd.2011.02.007
Abstract
The Caldeira-Leggett Hamiltonian (Eq. (1) below) 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 [1]. An invertible linear transformation [2, 3] is presented that converts solutions of the Caldeira-Leggett model into solutions of the linearized Vlasov-Poisson system.
Submitted to Physica D
References in corpus (3)
Cited by in corpus (5)
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- Relationship between nonlinearities and thermalization in classical open systems: The role of the interaction range