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在统一的权衡优化中效率的通用性。

Universality of efficiency at unified trade-off optimization.

机构信息

Department of Physics, Xiamen University, Xiamen 361005, People's Republic of China.

出版信息

Phys Rev E. 2016 Mar;93(3):032152. doi: 10.1103/PhysRevE.93.032152. Epub 2016 Mar 31.

DOI:10.1103/PhysRevE.93.032152
PMID:27078337
Abstract

We calculate the efficiency at the unified trade-off optimization criterion (the so-called maximum Ω criterion) representing a compromise between the useful energy and the lost energy of heat engines operating between two reservoirs at different temperatures and chemical potentials, and demonstrate that the linear coefficient 3/4 and quadratic coefficient 1/32 of the efficiency at maximum Ω are universal for heat engines under strong coupling and symmetry conditions. It is further proved that the conclusions obtained here also apply to the ecological optimization criterion.

摘要

我们计算了在统一的权衡优化准则(所谓的最大 Ω 准则)下的效率,该准则代表了在两个不同温度和化学势的储层之间运行的热机的有用能量和热能之间的折衷,并且证明了在强耦合和对称条件下,最大 Ω 效率的线性系数 3/4 和二次系数 1/32 是热机的普遍特征。进一步证明,这里得到的结论也适用于生态优化准则。

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