Carnot cycle for an oscillator

Details Carnot cycle for an oscillator Carnot cycle for an oscillator

2001-05-16

arxiv.org/abs/physics/0105048v2

Physics

Physics Education

19 pages, 3 figures, sumitted to European Journal of Physics Changed content: Fluctuations are considered

Scientific paper

10.1088/0143-0807/23/5/306

Carnot established in 1824 that the efficiency of cyclic engines operating between a hot bath at absolute temperature $T_{hot}$ and a bath at a lower temperature $T_{cold}$ cannot exceed $1-T_{cold}/T_{hot}$. We show that linear oscillators alternately in contact with hot and cold baths obey this principle in the quantum as well as in the classical regime. The expression of the work performed is derived from a simple prescription. Reversible and non-reversible cycles are illustrated. The paper begins with historical considerations and is essentially self-contained.

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