标题： 两个具有粘附相互作用的波动界面：不变测度和动力学 显示英文标题

标题： Two fluctuating interfaces with sticking interactions: Invariant measures and dynamics

摘要： 我们引入并研究了一个非平衡随机模型，该模型描述了两个波动界面，它们通过接触点的短程吸引力相互作用。 从纠缠状态开始，系统表现出多样的动力学行为——从具有短寿命的快速瞬态到通过准稳态的超慢演化——并达到卡住、纠缠或分离的稳态。 在卡住-分离相变附近，两种不同的演化动态模式同时发生。 当两个表面通过相似的动力学演化（均为爱德华-威尔金森或均为卡达-帕里索-张）时，确定了不变测度，并发现其具有非均匀乘积形式。 这个精确的稳态被证明是DNA变性的平衡波兰-谢拉加模型的测度。 显示英文摘要

摘要： We introduce and study a non-equilibrium stochastic model of two fluctuating interfaces which interact through short-range attractive interactions at their points of contact. Beginning from an entangled state, the system exhibits diverse dynamics -- ranging from fast transients with small lifetimes to ultraslow evolution through quasi-stationary states -- and reaches stuck, entangled, or detached steady states. Near the stuck-detached transition, two distinct dynamical modes of evolution co-occur. When the two surfaces evolve through similar dynamics (both Edwards-Wilkinson or both Kardar-Parisi-Zhang), the invariant measure is determined and found to have an inhomogeneous product form. This exact steady state is shown to be the measure of the equilibrium Poland-Scheraga model of DNA denaturation.