论文标题
具有不对称OnSager系数的确切可溶解的两端热发动机:发电效率的起源
Exactly solvable two-terminal heat engine with asymmetric Onsager coefficients: Origin of the power-efficiency bound
论文作者
论文摘要
在理想(Carnot)效率下产生有限功率的发动机是梦想引擎,该发动机并未受到热力学第二定律的禁止。几年前,Benenti,Saito和Casati提出了线性响应方案中具有{\ em不对称} Onsager系数的两端热发动机[Phys。莱特牧师。 {\ bf 106},230602(2011)],作为一种典型的系统,可以通过非发散系统参数值实现这样的梦想。但是,尽管经过许多试验,这种系统从未实现。在这里,我们在存在洛伦兹(Lorenz)(磁性)力的情况下引入了具有不对称的Onsager系数的确切可解决的两端的布朗热发动机。尽管如此,我们表明即使使用不对称的Onsager系数也无法访问DREAM引擎制度,这是因为不稳定引擎无法达到其稳态。这与发动机功率与效率之间的近期权衡关系一致,该发动机的稳态条件是隐式假定的。我们得出的结论是,梦dream发动机的无法访问源于引擎对发动机的稳态约束。
An engine producing a finite power at the ideal (Carnot) efficiency is a dream engine, which is not prohibited by the thermodynamic second law. Some years ago, a two-terminal heat engine with {\em asymmetric} Onsager coefficients in the linear response regime was suggested by Benenti, Saito, and Casati [Phys. Rev. Lett. {\bf 106}, 230602 (2011)], as a prototypical system to make such a dream come true with non-divergent system parameter values. However, such a system has never been realized in spite of many trials. Here, we introduce an exactly solvable two-terminal Brownian heat engine with the asymmetric Onsager coefficients in the presence of a Lorenz (magnetic) force. Nevertheless, we show that the dream engine regime cannot be accessible even with the asymmetric Onsager coefficients, due to an instability keeping the engine from reaching its steady state. This is consistent with recent trade-off relations between the engine power and efficiency, where the (cyclic) steady-state condition is implicitly presumed. We conclude that the inaccessibility to the dream engine originates from the steady-state constraint on the engine.