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arXiv · 1110.6550

Friction in a Model of Hamiltonian Dynamics

Juerg Froehlich·Zhou Gang·Avy Soffer
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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.

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Juerg Froehlich, Zhou Gang, Avy Soffer. 2011-11-01. Friction in a Model of Hamiltonian Dynamics. https://doi.org/10.1007/s00220-012-1564-2

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