论文标题
微观低径流热发动机通过绝热性和等温度的快捷方式
Microscopic low-dissipation heat engine via shortcuts to adiabaticity and shortcuts to isothermality
论文作者
论文摘要
我们通过在时间依赖的谐波电位中驱动布朗粒子来构建低径流引擎的微观模型。引入了绝热性和等温度的快捷方式,以分别在热力学循环中实现绝热和温度分支。我们得出了这种发动机在最大功率下效率的分析表达。这种表达能够满足最大功率效率的普遍定律,直到卡诺效率的二阶。我们还以任何给定的效率分析了一般低衰减发动机的功率问题,然后分别在三种限制案例中获得了权力的最高问题。
We construct a microscopic model of low-dissipation engines by driving a Brownian particle in a time-dependent harmonic potential. Shortcuts to adiabaticity and shortcuts to isothermality are introduced to realize the adiabatic and isothermal branches in a thermodynamic cycle, respectively. We derive an analytical expression of the efficiency at maximum power for this kind of engines. This expression satisfies the universal law of efficiency at maximum power up to the second order of the Carnot efficiency. We also analyze the issue of power at any given efficiency for general low-dissipation engines, and then obtain the supremum of the power in three limiting cases respectively.