TY - JOUR

T1 - Thermodynamics in finite time. I. The step-Carnot cycle

AU - Andresen, Bjarne

AU - Berry, R. Stephen

AU - Nitzan, Abraham

AU - Salamon, Peter

N1 - Funding Information:
Partially supported by a travel grant from the Danish Science Foundation.

PY - 1977

Y1 - 1977

N2 - The object of this paper is the beginning of a formulation of a method to find bounds to process functions, such as work and heat, for processes occurring in finite time. A general variational statement of the problem is given. Then model problems are solved, all but one of which are based on the "step-Carnot" cycle. This is similar to the reversible Carnot cycle but with the external pressure varying in finite steps. Such a system only needs to go through a finite number of equilibrium states during its cycle. The problems are the maximization of effectiveness of the step-Carnot cycle, the maximization of efficiency of the same cycle, the determination of optimal period for a step-Carnot cycle whose contact with the external reservoirs has finite heat conductance, and the determination of the maximum power and the rate at which maximum power is obtained, for a continuous Carnot cycle with finite heat conductance between system and thermostats.

AB - The object of this paper is the beginning of a formulation of a method to find bounds to process functions, such as work and heat, for processes occurring in finite time. A general variational statement of the problem is given. Then model problems are solved, all but one of which are based on the "step-Carnot" cycle. This is similar to the reversible Carnot cycle but with the external pressure varying in finite steps. Such a system only needs to go through a finite number of equilibrium states during its cycle. The problems are the maximization of effectiveness of the step-Carnot cycle, the maximization of efficiency of the same cycle, the determination of optimal period for a step-Carnot cycle whose contact with the external reservoirs has finite heat conductance, and the determination of the maximum power and the rate at which maximum power is obtained, for a continuous Carnot cycle with finite heat conductance between system and thermostats.

UR - http://www.scopus.com/inward/record.url?scp=0001007735&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.15.2086

DO - 10.1103/PhysRevA.15.2086

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AN - SCOPUS:0001007735

SN - 1050-2947

VL - 15

SP - 2086

EP - 2093

JO - Physical Review A

JF - Physical Review A

IS - 5

ER -