Efficiency at maximum power output of quantum heat engines under finite-time operation.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Physics, Nanchang University, Nanchang 330031, China.

Published: March 2012

AI Article Synopsis

  • This study examines the efficiency at maximum power (η(m)) of irreversible quantum Carnot engines (QCEs) operating between a hot reservoir (T(h)) and a cold reservoir (T(c)).
  • In the reversible case, η(m) aligns with the Carnot efficiency (η(C)), defined as η(C)=1-T(c)/T(h).
  • For QCEs with nonadiabatic dissipation, η(m) is confined between η(C)/(2-η(C)) and η(C)/2, while the Curzon-Ahlborn efficiency (η(CA)) is achieved under specific time distribution conditions.

Article Abstract

We study the efficiency at maximum power, η(m), of irreversible quantum Carnot engines (QCEs) that perform finite-time cycles between a hot and a cold reservoir at temperatures T(h) and T(c), respectively. For QCEs in the reversible limit (long cycle period, zero dissipation), η(m) becomes identical to the Carnot efficiency η(C)=1-T(c)/T(h). For QCE cycles in which nonadiabatic dissipation and the time spent on two adiabats are included, the efficiency η(m) at maximum power output is bounded from above by η(C)/(2-η(C)) and from below by η(C)/2. In the case of symmetric dissipation, the Curzon-Ahlborn efficiency η(CA)=1-√(T(c)/T(h)) is recovered under the condition that the time allocation between the adiabats and the contact time with the reservoir satisfy a certain relation.

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Source
http://dx.doi.org/10.1103/PhysRevE.85.031145DOI Listing

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