坍塌聚合物中表面附着小球相的位置
On the location of the surface-attached globule phase in collapsing polymers
摘要：
我们调查的表面相的存在和位置被称为“表面附着小球”（SAG）以前假设存在于三维聚合物的晶格模型，当它们被连接到一个墙，具有短程电位。本体相，其中吸引性聚合物内相互作用足够强以引起聚合物塌陷成液体状小球并且壁具有弱吸引或排斥相互作用，通常表示为解吸-塌陷或DC。最近，这一DC相被证明是由两个表面相分开的边界，其中体积自由能是解析的，而表面自由能是奇异的。壁相互作用的更有吸引力的值的表面相是SAG相。我们更充分地讨论了这一拟议的表面相的属性，并提供Monte Carlo证据的自我避免走到长度256，这个表面相最有可能确实存在。重要的是，我们讨论的表面相边界的替代品。特别是，我们得出结论，这个边界可能位于沿零壁相互作用线和体相边界，而不是任何新的相边界曲线。
英文摘要：
We investigate the existence and location of the surface phase known as the "Surface-Attached Globule" (SAG) conjectured previously to exist in lattice models of three-dimensional polymers when they are attached to a wall that has a short range potential. The bulk phase, where the attractive intra-polymer interactions are strong enough to cause a collapse of the polymer into a liquid-like globule and the wall either has weak attractive or repulsive interactions, is usually denoted Desorbed-Collapsed or DC. Recently this DC phase was conjectured to harbour two surface phases separated by a boundary where the bulk free energy is analytic while the surface free energy is singular. The surface phase for more attractive values of the wall interaction is the SAG phase. We discuss more fully the properties of this proposed surface phase and provide Monte Carlo evidence for self-avoiding walks up to length 256 that this surface phase most likely does exist. Importantly, we discuss alternatives for the surface phase boundary. In particular, we conclude that this boundary may lie along the zero wall interaction line and the bulk phase boundaries rather than any new phase boundary curve.
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