Feynman’s Ratchet and Pawl with Ecological Criterion: Optimal Performance versus Estimation with Prior Information

Singh, Varinder; Johal, Ramandeep S.

doi:10.3390/e19110576

Cited by 29 publications

(38 citation statements)

References 53 publications

(57 reference statements)

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“…Therefore, it is reasonable as well as sensible to design real heat engines along the lines of maximizing the ecological function, both for economical and ecological purposes. Similarly, the analogue of ecological function for refrigerators [33,66] may be employed for quantum models where usually the cooling power is optimized [55,67]. ACKNOWLEDGEMENTS V. S. gratefully acknowledges insightful discussions with Professor Robert Alicki.…”

Section: Discussionmentioning

confidence: 99%

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Three-level laser heat engine at optimal performance with ecological function

Singh

Johal

2019

Phys. Rev. E

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Although classical and quantum heat engines work on entirely different fundamental principles, there is an underlying similarity. For instance, the form of efficiency at optimal performance may be similar for both types of engines. In this work, we study a three-level laser quantum heat engine operating at maximum ecological function (EF) which represents a compromise between the power output and the loss of power due to entropy production. We derive analytic expressions for efficiency under the assumptions of strong matter-field coupling and high bath temperatures. Upper and lower bounds on the efficiency exist in case of extreme asymmetric dissipation when the ratio of systembath coupling constants at the hot and the cold contacts respectively approaches, zero or infinity. These bounds have been established previously for various classical models of Carnot-like engines. We conclude that while the engine produces at least 75% of the power output as compared with the maximum power conditions, the fractional loss of power is appreciably low in case of the engine operating at maximum EF, thus making this objective function relevant from an environmental point of view.

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Section: Discussionmentioning

confidence: 99%

“…In recent years, a few such alternate measures of performance have been studied. Thus, the ecological function [32,33] or Omega function [34] and efficient-power function [35,36] fall under such a category, as they pay equal attention to both power and efficiency.…”

Section: Introductionmentioning

confidence: 99%

Three-level laser heat engine at optimal performance with ecological function

Singh

Johal

2019

Phys. Rev. E

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“…More recently, the better use of energy and the impact of energy waste has become a priority and has turned the minimization of entropy into another desirable ingredient * jgonzalezayala@usal.es in the optimization. Then, trade-off objective functions (such as the ecological [25], Omega [26], and efficient power [27] functions) came into play [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Optimization induced by stability and the role of limited control near a steady state

et al. 2019

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A relationship between stability and self-optimization is found for weakly dissipative heat devices. The effect of limited control on operation variables around an steady state is such that, after instabilities, the paths toward relaxation are given by trajectories stemming from restitution forces which improve the system thermodynamic performance (power output, efficiency, and entropy generation). Statistics over random trajectories for many cycles shows this behavior as well. Two types of dynamics are analyzed, one where an stability basin appears and another one where the system is globally stable. Under both dynamics there is an induced trend in the control variables space due to stability. In the energetic space this behavior translates into a preference for better thermodynamic states, and thus stability could favor self-optimization under limited control. This is analyzed from the multiobjective optimization perspective. As a result, the statistical behavior of the system is strongly influenced by the Pareto front (the set of points with the best compromise between several objective functions) and the stability basin. Additionally, endoreversible and irreversible behaviors appear as very relevant limits: The first one is an upper bound in energetic performance, connected with the Pareto front, and the second one represents an attractor for the stochastic trajectories.

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“…It has been already pointed out that actual thermal plants and heat engines should not operate at MP, but in a regime with slightly smaller power and appreciable larger efficiency [2,27]. The optimization of Omega criterion or ecological criterion [28][29][30] and efficient power criterion [31][32][33] falls in such a regime. They pay equal attention to both power output and efficiency [34].…”

Section: Introductionmentioning

confidence: 99%

Low-dissipation Carnot-like heat engines at maximum efficient power

Singh

Johal

2018

Phys. Rev. E

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We study the optimal performance of Carnot-like heat engines working in low dissipation regime using the product of the efficiency and the power output, also known as the efficient power, as our objective function. Efficient power function represents the best trade-off between power and efficiency of a heat engine. We find lower and upper bounds on the efficiency in case of extreme asymmetric dissipation when the ratio of dissipation coefficients at the cold and the hot contacts approaches, respectively, zero or infinity. In addition, we obtain the form of efficiency for the case of symmetric dissipation. We also discuss the universal features of efficiency at maximum efficient power and derive the bounds on the efficiency using global linear-irreversible framework introduced recently by one of the authors. * varindersingh@iisermohali.ac.in † rsjohal@iisermohali.ac.in arXiv:1806.10581v1 [cond-mat.stat-mech]

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Feynman’s Ratchet and Pawl with Ecological Criterion: Optimal Performance versus Estimation with Prior Information

Cited by 29 publications

References 53 publications

Three-level laser heat engine at optimal performance with ecological function

Three-level laser heat engine at optimal performance with ecological function

Optimization induced by stability and the role of limited control near a steady state

Low-dissipation Carnot-like heat engines at maximum efficient power

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