论文标题

量子热化学发动机

Quantum thermochemical engines

论文作者

Marzolino, Ugo

论文摘要

将化学能量转化为机械工作是纳米级几种自然现象的基本机制,例如分子机和布朗电动机。量子机械效应与优化这些过程并在原子量表中实施它们有关。本文着重于通过在不同化学电位的热源的能量和粒子交换中将化学工作转化为机械工作的引擎。不可逆性是通过用由时间探测的量子主方程生成的有限时间动力学对发动机变换进行建模的。量子退化气体为可逆发动机提供了最大的效率,而经典的极限则意味着较小的效率。对于不可逆的发动机,在量子状态下,最大功率下的输出功率和效率都比经典限制大得多。对理想同质气体的分析抓住了量子统计对上述性能的影响,在存在相互作用和更一般的陷阱中,量子统计的影响持续存在。还研究了对不同类型的Bose-Einstein冷凝物(BEC)的性能依赖性。所考虑的BEC是标准BEC,其粒子处于基态的有限分数,并且具有平行动量的本征态或具有共面动量的特征状态的广义BEC,根据约束各向异性占据宏观占据。因此,量子统计是将化学作用转化为机械工作的增强性能的资源。

Conversion of chemical energy into mechanical work is the fundamental mechanism of several natural phenomena at the nanoscale, like molecular machines and Brownian motors. Quantum mechanical effects are relevant for optimising these processes and to implement them at the atomic scale. This paper focuses on engines that transform chemical work into mechanical work through energy and particle exchanges with thermal sources at different chemical potentials. Irreversibility is introduced by modelling the engine transformations with finite-time dynamics generated by a time-depending quantum master equation. Quantum degenerate gases provide maximum efficiency for reversible engines, whereas the classical limit implies small efficiency. For irreversible engines, both the output power and the efficiency at maximum power are much larger in the quantum regime than in the classical limit. The analysis of ideal homogeneous gases grasps the impact of quantum statistics on the above performances, which persists in the presence of interactions and more general trapping. The performance dependence on different types of Bose-Einstein Condensates (BECs) is also studied. BECs under considerations are standard BECs with a finite fraction of particles in the ground state, and generalised BECs where eigenstates with parallel momenta, or those with coplanar momenta are macroscopically occupied according to the confinement anisotropy. Quantum statistics is therefore a resource for enhanced performances of converting chemical into mechanical work.

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