摘要翻译:
我们研究了三维聚合物的晶格模型中,当它们附着在具有短程电位的壁面上时,被称为“表面附着球”(SAG)的表面相的存在和位置。体相通常被称为解吸-塌陷或DC。体相中,聚合物内部的吸引相互作用强到足以使聚合物塌陷成液体状的球状物,而壁具有弱的吸引或排斥相互作用,体相通常被称为解吸-塌陷或DC。最近,人们推测这种直流相包含两个表面相,两个表面相被一个边界隔开,在这个边界上,体自由能是解析的,而表面自由能是奇异的。对于壁面相互作用更吸引值的表面相是凹陷相。我们更全面地讨论了这种表面相的性质,并提供了蒙特卡罗证据,证明这种表面相极有可能存在。重要的是,我们讨论了表面相边界的替代方案。特别地,我们得出结论,这个边界可能沿着零壁相互作用线和体相边界而不是任何新的相边界曲线。
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英文标题:
《On the location of the surface-attached globule phase in collapsing
polymers》
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作者:
A. L. Owczarek, A. Rechnitzer, J. Krawczyk and T. Prellberg
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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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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PDF链接:
https://arxiv.org/pdf/707.3034