Performance of an irreversible quantum Carnot engine with spin 12.

The purpose of this paper is to investigate the effect of quantum properties of the working medium on the performance of an irreversible Carnot cycle with spin 12. The optimal relationship between the dimensionless power output P* versus the efficiency eta for the irreversible quantum Carnot engine with heat leakage and other irreversible losses is derived. Especially, the performances of the engine at low temperature limit and at high temperature limit are discussed.

[1]  B. Andresen,et al.  Thermodynamics in finite time: extremals for imperfect heat engines , 1977 .

[2]  Bihong Lin,et al.  The performance of a quantum heat engine working with spin systems , 2002 .

[3]  Bihong Lin,et al.  The Influence of Quantum Degeneracy on the Performance of a Fermi Brayton Engine , 2004, Open Syst. Inf. Dyn..

[4]  Altug Sisman,et al.  On the power cycles working with ideal quantum gases : I. The Ericsson cycle , 1999 .

[5]  Fengrui Sun,et al.  Optimal performance of a generalized irreversible Carnot-engine , 2005 .

[6]  Itamar Procaccia,et al.  On the efficiency of rate processes. Power and efficiency of heat engines , 1978 .

[7]  Fengrui Sun,et al.  Effect of heat transfer law on the performance of a generalized irreversible Carnot engine , 1999 .

[8]  Peter Salamon,et al.  Finite time optimizations of a Newton’s law Carnot cycle , 1981 .

[9]  Fengrui Sun,et al.  Generalized model and optimum performance of an irreversible quantum Brayton engine with spin systems. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Lingen Chen,et al.  Performance and optimization criteria for forward and reverse quantum Stirling cycles , 1998 .

[11]  Ronnie Kosloff,et al.  A quantum-mechanical heat engine operating in finite time. A model consisting of spin-1/2 systems as the working fluid , 1992 .

[12]  黄婉康,et al.  The Formation of 1.35 nm Stacking Sequences in Heated Products of Clinoenstatites , 1993 .

[13]  Feldmann,et al.  Performance of discrete heat engines and heat pumps in finite time , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  Fengrui Sun,et al.  Finite-time exergoeconomic performance bound for a quantum Stirling engine , 2000 .

[15]  Ronnie Kosloff,et al.  A quantum mechanical open system as a model of a heat engine , 1984 .

[16]  Ronnie Kosloff,et al.  On the classical limit of quantum thermodynamics in finite time , 1992 .

[17]  L. Chen,et al.  A generalised model of a real heat engine and its performance , 1996 .

[18]  S. Sieniutycz,et al.  Thermodynamic Optimization of Finite-Time Processes , 2000 .

[19]  L. Diosi,et al.  Thermodynamic length, time, speed, and optimum path to minimize entropy production , 1996 .

[20]  R. Kosloff,et al.  Characteristics of the limit cycle of a reciprocating quantum heat engine. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Bjarne Andresen,et al.  Thermodynamics in finite time , 1984 .

[22]  Stanislaw Sieniutycz,et al.  Variational and Extremum Principles in Macroscopic Systems , 2005 .

[23]  Jincan Chen,et al.  Optimal performance of a generalized Carnot cycle for another linear heat transfer law , 1990 .

[24]  Yehuda B. Band,et al.  The generalized Carnot cycle: A working fluid operating in finite time between finite heat sources and sinks , 1983 .

[25]  Ronnie Kosloff,et al.  Discrete four-stroke quantum heat engine exploring the origin of friction. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  W. Reinhardt,et al.  Variational path optimization and upper and lower bounds to free energy changes via finite time minimization of external work , 1992 .

[27]  J M Gordon,et al.  Quantum thermodynamic cooling cycle. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Hasan Saygin,et al.  Efficiency Analysis of a Stirling Power Cycle under Quantum Degeneracy Conditions , 2001 .

[29]  Ronnie Kosloff,et al.  Quantum four-stroke heat engine: thermodynamic observables in a model with intrinsic friction. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Fengrui Sun,et al.  Optimum performance parameters for a quantum Carnot heat pump with spin-1/2 , 1998 .

[31]  Stanislaw Sieniutycz,et al.  Finite-time thermodynamics and thermoeconomics , 1990 .

[32]  C. M. Bender,et al.  Quantum mechanical Carnot engine , 2000 .

[33]  David J. Tannor,et al.  Laser cooling of internal degrees of freedom. II , 1997 .

[34]  Fengrui Sun,et al.  Influence of internal heat leak on the power versus efficiency characteristics of heat engines , 1997 .

[35]  Ronnie Kosloff,et al.  The quantum heat engine and heat pump: An irreversible thermodynamic analysis of the three-level amplifier , 1996 .

[36]  Lixuan Chen,et al.  The effect of heat‐transfer law on performance of a two‐heat‐source endoreversible cycle , 1989 .

[37]  A. Bejan.  Theory of heat transfer-irreversible power plants , 1988 .

[38]  Chih Wu,et al.  Finite-time thermodynamic analysis of a Carnot engine with internal irreversibility , 1992 .

[39]  A. Bejan.  Entropy generation minimization: The new thermodynamics of finite-size devices and finite-time processes , 1996 .

[40]  R. Kosloff,et al.  On the relaxation of a two-level system driven by a strong electromagnetic field , 1995 .

[41]  Lingen Chen,et al.  Finite Time Thermodynamic Optimization or Entropy Generation Minimization of Energy Systems , 1999 .

[42]  Geva,et al.  Three-level quantum amplifier as a heat engine: A study in finite-time thermodynamics. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[43]  Peter Salamon,et al.  Heat engines in finite time governed by master equations , 1996 .

[44]  F. Curzon,et al.  Efficiency of a Carnot engine at maximum power output , 1975 .

[45]  Feng Wu,et al.  Ecological Optimization Performance of An Irreversible Quantum Otto Cycle Working with an Ideal Fermi Gas , 2006, Open Syst. Inf. Dyn..

[46]  S. Sieniutycz.  Thermodynamic limits on production or consumption of mechanical energy in practical and industrial systems , 2003 .