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Photo-Carnot engine : ウィキペディア英語版
Photo-Carnot engine

A photo-Carnot engine is a Carnot cycle engine in which the working medium is a photon inside a cavity with perfectly reflecting walls. Radiation is the working fluid, and the piston is driven by radiation pressure.
A quantum Carnot engine is one in which the atoms in the heat bath are given a small bit of quantum coherence. The phase of the atomic coherence provides a new control parameter.〔(【引用サイトリンク】title=Extracting Work from a Single Heat Bath via Vanishing Quantum Coherence – Marlan Scully, M. Suhail Zubairy, G. S. Agarwal, and Herbert Walther, 299 (5608): 862 – Science )
The deep physics behind the second law of thermodynamics is not violated; nevertheless, the quantum Carnot engine has certain features that are not possible in a classical engine.
== Derivation ==
The internal energy of the photo-Carnot engine is proportional to the volume (unlike the ideal-gas equivalent) as well as the 4th power of the temperature (see Stefan–Boltzmann law):
U = \varepsilon\sigma T^ \,.
The radiation pressure is only proportional to this 4th power of temperature but no other variables, meaning that for this photo-Carnot engine an isotherm is equivalent to an isobar:
P = \frac = \frac \,.
Using the first law of thermodynamics ( dU = dW + dQ ) we can determine the work done through an adiabatic ( dQ = 0 ) expansion by using the chain rule ( dU = \varepsilon \sigma dV T^ + 4 \varepsilon \sigma V T^ dT ) and setting it equal to dW = -P dV = -\frac \varepsilon \sigma T^ dV \,.
Combining these gives us \frac T^ dV = 4 V T^ dT which we can solve to find \frac = const \,.
....
The efficiency of this reversible engine must be the Carnot efficiency, regardless of the mechanism and so \eta = \frac \,.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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