Friction in a Model of Hamiltonian Dynamics

Abstract

We study the motion of a heavy tracer particle weakly coupled to a dense ideal Bose gas exhibiting Bose-Einstein condensation. In the so-called mean-field limit, the dynamics of this system approaches one determined by nonlinear Hamiltonian evolution equations describing a process of emission of Cerenkov radiation of sound waves into the Bose-Einstein condensate along the particle's trajectory. The emission of Cerenkov radiation results in a friction force with memory acting on the tracer particle and causing it to decelerate until it comes to rest.

53 Pages

References in corpus (1)

• Some Hamiltonian Models of Friction II

Cited by in corpus (11)

• Quantum dynamics of Bose-polaron in a $d$-dimensional Bose Einstein condensate
• Some Hamiltonian Models of Friction II
• Hamiltonian dynamics of a particle interacting with a wave field
• The effective mass problem for the Landau-Pekar equations
• Free time evolution of a tracer particle coupled to a Fermi gas in the high-density limit
• Attractors of nonlinear Hamiltonian PDEs
• Effective Dynamics of a Tracer Particle Interacting with an Ideal Bose Gas
• On the theory of slowing down gracefully
• A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
• Spectral Analysis of a Model for Quantum Friction
• Mean field dynamics of a quantum tracer particle interacting with a boson gas