Efficiency at Maximum Power of a Quantum Dot Heat Engine in an External Magnetic Field
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摘要:
In classical thermodynamics,a reversible Carnot heat engine produces the maximum possible work for a given temperature of the hot and cold reservoirs but generates zero power because it is an infinitely slow operation.The efficiency (ηc =1-Tc/Th)of the Carnot cycle is the upper bound on the efficiency at which real heat engines are unrealistically high.In order to seek a more realistic upper bound on the efficiency of a heat engine,Curzon and Ahlborn proposed an endoreversible model of the Carnot cycle and calculated its efficiency at maximum power (EMP),i.e.the so-called Curzon Ahlborn (CA) efficiency ηCA =1-√Tc/Th.[1] Since then,various theoretical models of heat engines have been investigated by using finite time thermodynamics (FTT),[2-5] linear irreversible thermodynamics[6,7] and stochastic thermodynamics,[s,9] ranging from macroscopic heat engines to microscopic heat engines.