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Carnot cycle for an oscillator

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 05 Aug 2002Embargo end date: 01 Jan 2001Publisher:IOP PublishingJournal:European Journal of Physics, volume 23, pages 489-500 (issn: 0143-0807, Copyright policy )
Authors: Arnaud, Jacques; Chusseau, Laurent; Philippe, Fabrice;

doi: 10.1088/0143-0807/23/5/306 , 10.48550/arxiv.physics/0105048

arXiv: http://arxiv.org/abs/physics/0105048

Carnot cycle for an oscillator

Abstract

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.

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

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Keywords

[PHYS.PHYS.PHYS-OPTICS] Physics [physics]/Physics [physics]/Optics [physics.optics], Chemical Physics (physics.chem-ph), Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), Classical and relativistic thermodynamics, Physics - Physics Education, FOS: Physical sciences, [PHYS.PHYS.PHYS-CHEM-PH] Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph], [PHYS.COND.CM-SM] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], [PHYS.PHYS.PHYS-ED-PH] Physics [physics]/Physics [physics]/Physics Education [physics.ed-ph], Physics Education (physics.ed-ph), Physics - Chemical Physics, Quantum Physics (quant-ph), Carnot cycle, [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph], Condensed Matter - Statistical Mechanics, Physics - Optics, Optics (physics.optics)

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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
31
Top 10%
Top 10%
Top 10%
Green
bronze