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Dissipative dynamics of a harmonic oscillator: A nonperturbative approach

Kumar, Jishad and Sinha, S and Sreeram, PA (2009) Dissipative dynamics of a harmonic oscillator: A nonperturbative approach. In: Physical Review E, 80 (3, Par). 031130-1- 031130-7.

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Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of noninteracting oscillators. We follow a nonperturbative approach, proposed earlier by us for the free Brownian particle. The diffusion constants are calculated analytically and the positivity of the master equation is shown to hold above a critical temperature. We compare the long time behavior of the average kinetic and potential energies with known thermodynamic results. In the limit of vanishing oscillator frequency of the system, we recover the results of the free Brownian particle.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 29 Oct 2009 06:26
Last Modified: 19 Sep 2010 05:50
URI: http://eprints.iisc.ac.in/id/eprint/24516

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