标题： 表面诱导的非平衡动力学和模型B在薄膜几何中的临界卡西米尔力 显示英文标题

标题： Surface-induced non-equilibrium dynamics and critical Casimir forces for model B in film geometry

摘要： 使用分析和数值方法，我们研究了流体在薄膜几何结构中，经历瞬时冷却至临界温度$T_c$以及超临界温度后的守恒序参量的时空演化。 序参量的动力学由平均场理论中的模型 B 来描述，并且受到无通量边界条件以及限制壁上的对称表面场的作用。 后者导致序参量在两个壁上的临界吸附，并为序参量的非平凡时间演化提供驱动力。 在动力学过程中，序参量局部和全局都是守恒的；因此，在热平衡时，系统代表的是正则系综。 我们还考虑了非平衡临界卡西米尔力的动力学，该力基于序参量场对限制壁施加的广义力获得。 我们识别了关于序参量和临界卡西米尔力时间演化的一些渐近区域，并在我们的方法中提供了相应动态标度函数的精确表达式。 显示英文摘要

摘要： Using analytic and numerical approaches, we study the spatio-temporal evolution of a conserved order parameter of a fluid in film geometry, following an instantaneous quench to the critical temperature $T_c$ as well as to supercritical temperatures. The order parameter dynamics is chosen to be governed by model B within mean field theory and is subject to no-flux boundary conditions as well as to symmetric surface fields at the confining walls. The latter give rise to critical adsorption of the order parameter at both walls and provide the driving force for the non-trivial time evolution of the order parameter. During the dynamics, the order parameter is locally and globally conserved; thus, at thermal equilibrium, the system represents the canonical ensemble. We furthermore consider the dynamics of the nonequilibrium critical Casimir force, which we obtain based on the generalized force exerted by the order parameter field on the confining walls. We identify various asymptotic regimes concerning the time evolution of the order parameter and the critical Casimir force and we provide, within our approach, exact expressions of the corresponding dynamic scaling functions.