论文标题
在ISING模型中有效控制与自发过渡之间的连接
Connections between efficient control and spontaneous transitions in an Ising model
论文作者
论文摘要
可以通过时间依赖的驾驶协议在亚稳态配置之间驱动系统，该协议使用外部控制参数来改变系统的势能。在这里，我们研究了旨在最大程度地减少工作和在没有驾驶时系统的自发过渡路径的驾驶协议之间的对应关系。我们研究了2D ISING模型中的自旋旋转反应，在最小工作方案和自发过渡过程中量化了每个自旋翻转和热流向系统的时机。尽管无法再现自发机制的更详细特征的控制参数的粗糙性，但在过程之间保留了自旋倒转的一般顺序。此外，外部控制参数为每个系统组件提供了能量，以补偿内部能量的变化，显示了如何在最小工作协议中调整控制参数以抵消潜在的能量特征。这项研究支持最小工作方案与自发过渡机制之间的对应关系。
A system can be driven between metastable configurations by a time-dependent driving protocol, which uses external control parameters to change the potential energy of the system. Here we investigate the correspondence between driving protocols that are designed to minimize work and the spontaneous transition paths of the system in the absence of driving. We study the spin-inversion reaction in a 2D Ising model, quantifying the timing of each spin flip and heat flow to the system during both a minimum-work protocol and a spontaneous transition. The general order of spin flips during the transition mechanism is preserved between the processes, despite the coarseness of control parameters that are unable to reproduce more detailed features of the spontaneous mechanism. Additionally, external control parameters provide energy to each system component to compensate changes in internal energy, showing how control parameters are tuned during a minimum-work protocol to counteract underlying energetic features. This study supports a correspondence between minimum-work protocols and spontaneous transition mechanisms.
