论文标题
提交随机回报的扩散动力学的工作波动
Work fluctuations for diffusion dynamics submitted to stochastic return
论文作者
论文摘要
将系统返回到所需状态下的力场涉及热力学成本，即{\ it工作}。对于小型系统，这种成本从一个实验实现到另一个实现。我们介绍了一个通用框架，以确定返回由限制潜力在重新启动位置限制潜力促进的系统的工作分布。一般策略基于{\ it重置途径的平均值}，构成了一种强大的方法，可以访问从重置系统中观察到的统计信息。我们利用可以实现明确计算的范式设置来说明理论。数值模拟验证我们的理论预测。对于其中一些示例，工作的非平凡行为波动为优化问题打开了大门。具体而言，可以通过适当调整返回率来最大程度地减少工作波动。
Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to determine the work distribution for returning a system facilitated by a confining potential with its minimum at the restart location. The general strategy, based on average over {\it resetting pathways}, constitutes a robust method to gain access to the statistical information of observables from resetting systems. We exploit paradigmatic setups, where explicit computations are attainable, to illustrate the theory. Numerical simulations validate our theoretical predictions. For some of these examples, a non-trivial behavior of the work fluctuations opens a door to optimization problems. Specifically, work fluctuations can be minimized by an appropriate tuning of the return rate.
