Thermodynamic optimization subsumed in stability phenomena

Abstract

in the present paper the possibility of an energetic self-optimization as a consequence of thermodynamic stability is addressed. this feature is analyzed in a low dissipation refrigerator working in an optimized trade-off regime (the so-called Omega function). The relaxation after a perturbation around the stable point indicates that stability is linked to trajectories in which the thermodynamic performance is improved. furthermore, a limited control over the system is analyzed through consecutive external random perturbations. The statistics over many cycles corroborates the preference for a better thermodynamic performance. endoreversible and irreversible behaviors play a relevant role in the relaxation trajectories (as well as in the statistical performance of many cycles experiencing random perturbations). A multi-objective optimization reveals that the well-known endoreversible limit works as an attractor of the system evolution coinciding with the pareto front, which represents the best energetic compromise among efficiency, entropy generation, cooling power, input power and the omega function. Meanwhile, near the stable state, performance and stability are dominated by an irreversible behavior.

Optimization, Stability, and Entropy in Endoreversible Heat Engines

“…Finally, in this work the thermodynamic functions that were selected as the most relevant for this heat engine model were , P , and . It is very likely that by analyzing different stationary states, such as those predicted by the compromise Ecological [ 41 ] or Omega [ 42 ] operation performances, the role of the Pareto front would be more evident, as occurred in the case of the low-dissipation heat engine and refrigerator [ 1 , 2 ].…”

“…In this case, such a vector is formed by , P , and . The algorithm introduced here is a modification of the one introduced in [ 1 , 2 , 3 ], as follows: In the phase space ( , ), the region of physical relevance is defined ( ). A random set of points in the phase space is obtained and the thermodynamic functions are evaluated (energetic space).…”

“…In many cases, this requires the fine-tuning of control parameters with intrinsic energetic costs. In this regard, there are some hints as to the possibility of seizing the stability of heat engine operation regimes to enhance their performance by relaxing the control over the operation parameters [ 1 , 2 , 3 ]. Studies regarding the weakly dissipative limit [ 4 ] thus far have pointed out the special role played by the endoreversible model [ 5 , 6 ].…”

Low-dissipation optimization of the prefrontal cortex in the −12° head-down tilt position: A functional near-infrared spectroscopy study

“…The above discussion corresponds to the dissipative structure in the thermodynamic theory. The dissipative structure constitutes the transition channel in a system from a frustrated metastable state to another metastable state ( Jeffery et al, 2019 ; Ueltzhffer et al, 2021 ), providing a new possibility to achieve energy self-optimization ( Gonzalez-Ayala et al, 2020a , b ). This theory is also applicable in complex biological systems.…”

Performance Analysis and Four-Objective Optimization of an Irreversible Rectangular Cycle

“…After decades of development, a series of instructive and practical achievements have been obtained in finite time thermodynamics [1][2][3][4][5][6][7][8], the research objects of which include heat engines [9][10][11][12][13][14][15], refrigerators [16,17], heat pumps [18], chemical cycles [19], and quantum cycles [20,21]. The rectangular cycle (RC) is composed of four thermodynamic processes, its endothermic processes are closed to the endothermic processes of the dual cycle, and its exothermic processes are closed to the exothermic processes of the Miller cycle.…”