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2022-03-04
摘要翻译:
用蒙特卡罗模拟方法研究了两种不同类型的三角球面模型。两个模型都经历了一级坍缩跃迁和一级表面涨落跃迁。第一个模型是流体表面模型。顶点只能在隔间内自由扩散,由于区域边界的存在,顶点不能在表面上自由扩散。二是骨架模型。骨架模型的表面形状仅由区域边界保持,区域边界为具有刚性连接的线性链。因此,我们可以得出结论,一阶跃迁的发生与表面的形状是由骨架(=畴界)机械维持还是由表面本身机械维持无关。
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英文标题:
《Phase transition of compartmentalized surface models》
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作者:
Hiroshi Koibuchi
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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: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:
  Two types of surface models have been investigated by Monte Carlo simulations on triangulated spheres with compartmentalized domains. Both models are found to undergo a first-order collapsing transition and a first-order surface fluctuation transition. The first model is a fluid surface one. The vertices can freely diffuse only inside the compartments, and they are prohibited from the free diffusion over the surface due to the domain boundaries. The second is a skeleton model. The surface shape of the skeleton model is maintained only by the domain boundaries, which are linear chains with rigid junctions. Therefore, we can conclude that the first-order transitions occur independent of whether the shape of surface is mechanically maintained by the skeleton (= the domain boundary) or by the surface itself.
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PDF链接:
https://arxiv.org/pdf/705.2103
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