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New statistical mechanical treatment of systems near surfaces. IV. Surface and surface-induced capillary transitions in polymer solutions

机译:对表面附近系统进行新的统计机械处理。 IV。聚合物溶液中表面和表面诱导的毛细管转变

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We apply a recently developed analytic but approximate method to study surface and surface-induced capillary transitions in a solution of polydisperse linear and/or branched polymers confined between two infinite but identical surfaces. We use an equilibrium polymerization model where various densities in the system are controlled by the corresponding activities. The bulk region, i.e., the central region between the surfaces may or may not be in the bulk equilibrium state (see the text). We find a line of first-order transitions, commonly known as a prewetting transition line, passing through the phase separation point in the bulk equilibrium state, at which the surface undergoes a first-order transition. For a certain range around the bulk equilibrium transition point, the bulk region undergoes a stable-metastable transition. This presents us with the possibility of being able to prepare the system in a bulk metastable state, no matter how far apart the two surfaces are. This range is found to be identical to the range of metastability for the bulk equilibrium state. Outside of this range, the transition line behaves like a prewetting transition line and, as usual, terminates at surface critical points, one on each side of the above range. (C) 1998 American Institute of Physics. [S0021-9606(98)51048-3]. [References: 16]
机译:我们应用一种最新开发的分析但近似方法来研究在两个无限但相同的表面之间封闭的多分散线性和/或支化聚合物溶液中的表面和表面诱导的毛细管转变。我们使用平衡聚合模型,其中系统中的各种密度由相应的活动控制。主体区域,即表面之间的中心区域可能处于或可能不处于主体平衡状态(请参见正文)。我们找到一条通常称为预润湿过渡线的一阶过渡线,该线穿过处于体平衡状态的相分离点,在该相分离点处,表面经历一阶过渡。对于本体平衡转变点周围的一定范围,本体区域经历稳定可转移。这给我们提供了一个可能性,即无论两个表面相距多远,都可以将系统准备为整体亚稳态。发现该范围与整体平衡状态的亚稳范围相同。在此范围之外,过渡线的行为就像预润湿的过渡线一样,并且通常终止于表面临界点,在上述范围的每一侧。 (C)1998美国物理研究所。 [S0021-9606(98)51048-3]。 [参考:16]

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