摘要翻译:
我们用降维方法证明了在两平板之间具有排除体积相互作用的支化聚合物在热力学极限下具有与单体数目相同、单体-平板相互作用势相同的理想线性聚合物相同的约束自由能和密度分布。由于分枝引起的凝聚被排除体积相互作用引起的膨胀所精确地补偿。
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英文标题:
《The confinement free energies of non-ideal branched polymers and ideal
unbranched polymers are the same》
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作者:
Rouzbeh Ghafouri, Joseph Rudnick and Robijn Bruinsma
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最新提交年份:
2008
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分类信息:
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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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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英文摘要:
We use the method of dimensional reduction to show that a branching polymer with excluded volume interaction confined between two flat plates has, in the thermodynamic limit, a confinement free energy and density profile that is the same as that of an ideal linear polymer with the same number of monomers and the same monomer-plate interaction potential. Condensation due to branching is exactly compensated by swelling due to excluded volume interaction.
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PDF链接:
https://arxiv.org/pdf/801.0611