论文标题
弱驱动器的熵产生中的全球优化和单调性
Global optimization and monotonicity in entropy production of weak drivings
论文作者
论文摘要
在更复杂的优化问题情况下，了解最佳解决方案是本地还是全局是一个很难回答的问题。在这项工作中，对于有限的和弱的等温驾驶过程，我们显示了熵生产的全球最佳协议的存在。我们证明，通过在协议导数中显示出其作为功能的凸度。该属性还证明了其在这种情况下的单调性，这导致了对热力学第二定律的满意。最后，我们说明了Euler-Lagrange方程的分析技术应用于过度阻尼的布朗运动，可以通过将其与遗传编程的全球优化技术进行比较，从而提供了全球最佳协议。
Knowing if an optimal solution is local or global has always been a hard question to answer in more sophisticated situations of optimization problems. In this work, for finite-time and weak isothermal driving processes, we show the existence of a global optimal protocol for the entropy production. We prove that by showing its convexity as a functional in the derivative of the protocol. This property also proves its monotonicity in such a context, which leads to the satisfaction of the Second Law of Thermodynamics. In the end, we exemplify that the analytical technique of the Euler-Lagrange equation applied to overdamped Brownian motion delivers the global optimal protocol, by comparing it with the results of the global optimization technique of genetic programming.
