PAPER: Classical statistical mechanics, equilibrium and non-equilibrium Relations between the efficiency, power and dissipation for linear irreversible heat engine at maximum trade-off figure of merit

摘要

A trade of figure of merit (Ω) criterion accounts the best compromise between the useful input energy and the lost input energy of the heat devices. When the heat engine is working at maximum Ω criterion its efficiency increases significantly from the efficiency at maximum power. We derive the general relations between the power, efficiency at maximum Ω criterion and minimum dissipation for the linear irreversible heat engine. The efficiency at maximum Ω criterion has the lower bound 3 η_(ME)/4 and it can reach up to η_(ME), where η_(ME) is the maximum efficiency. Further, for time-reversal symmetric or antisymmetric case our results show that the efficiency at maximum Ω criterion is bounded by 3/4 of the Carnot efficiency when the minimum dissipation is zero.