论文标题
弱驱动过度阻尼的布朗运动中的最佳有限时间过程
Optimal finite-time processes in weakly driven overdamped Brownian motion
论文作者
论文摘要
对热力学工作优化的完整物理理解仍然是随机热力学的重要开放问题。我们使用有限的时间和弱过程中线性响应理论的哈密顿方法来解决这个问题。我们得出相关的Euler-Lagrange方程，并讨论其主要特征，并使用在过度阻尼的制度中使用范式的布朗运动的范式示例来说明它们。我们表明，最佳协议以适当的极限与随机热力学的确切解决方案相吻合，或者甚至可以与它们相同，从而呈现出众所周知的跳跃。但是，我们的方法表明，在任何驱动系统的快速但薄弱过程中，在过程的末端跳跃是一个良好的优化策略。此外，我们表明快速但最佳的最佳协议是时间反转的对称，该属性迄今一直隐藏在远离平衡的确切解决方案中。
The complete physical understanding of the optimization of the thermodynamic work still is an important open problem in stochastic thermodynamics. We address this issue using the Hamiltonian approach of linear response theory in finite time and weak processes. We derive the Euler-Lagrange equation associated and discuss its main features, illustrating them using the paradigmatic example of driven Brownian motion in overdamped regime. We show that the optimal protocols obtained either coincide, in the appropriate limit, with the exact solutions by stochastic thermodynamics or can be even identical to them, presenting the well-known jumps. However, our approach reveals that jumps at the extremities of the process are a good optimization strategy in the regime of fast but weak processes for any driven system. Additionally, we show that fast-but-weak optimal protocols are time-reversal symmetric, a property that has until now remained hidden in the exact solutions far from equilibrium.
