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A set of oscillators in a common bath

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  • Van Kampen, N.G.

Abstract

The well-known model of a heavy oscillator interacting with a bath of light oscillators is extended to several heavy oscillators. New features appear when they are in resonance. These are worked out for the case of two identical oscillators, with the following conclusions. If initially one of them is excited its damping is slowed down by the presence of the other. If initially both are excited their emitted field exhibits second order coherence and therefore “interference between photons”. If initially the bath is in thermal equilibrium the oscillators end up by being thermally excited and uncorrelated. Finally the formulation in terms of a Langevin equation is discussed.

Suggested Citation

  • Van Kampen, N.G., 1987. "A set of oscillators in a common bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 165-183.
    • Handle: RePEc:eee:phsmap:v:147:y:1987:i:1:p:165-183
    DOI: 10.1016/0378-4371(87)90104-X
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    Cited by:

    1. Widder, M.E. & Titulaer, U.M., 1989. "Brownian motion in a medium with inhomogeneous temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(3), pages 452-466.
    2. Kosztołowicz, Tadeusz, 1998. "Continuous versus discrete description of the transport in a membrane system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 44-56.
    3. Van Vliet, Carolyne M., 1990. "Quantum electrodynamical theory of infrared effects in condensed matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(1), pages 126-155.

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