Oscillator and thermostat

Dmitry Treschev

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arXiv · 0912.1186

Oscillator and thermostat

Dmitry Treschev

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Abstract

We study the problem of a potential interaction of a finite-dimensional Lagrangian system (an oscillator) with a linear infinite-dimensional one (a thermostat). In spite of the energy preservation and the Lagrangian (Hamiltonian) nature of the total system, under some natural assumptions the final dynamics of the finite-dimensional component turns out to be simple while the thermostat produces an effective dissipation.

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Dmitry Treschev. 2009-12-07. Oscillator and thermostat. https://arxiv.org/abs/0912.1186

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