Koibuchi Hiroshi, Nidaira Atsusi, Morita Takumi, Suzuki Komei
Department of Mechanical Engineering, Ibaraki College of Technology, Nakane 866 Hitachnaka, Ibaraki 312-8508, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 1):011804. doi: 10.1103/PhysRevE.68.011804. Epub 2003 Jul 25.
We study a model of elastic surfaces that was first constructed by Baillie et al. for an interpolation between the models of fluid and crystalline membranes. The Hamiltonian of the model is a linear combination of the Gaussian energy and a squared scalar curvature energy. These energy terms are discretized on dynamically triangulated surfaces that are allowed to self-intersect. We confirm that the model has not only crumpled phases but also a branched polymer phase, and find that the model undergoes a first-order phase transition between the branched polymer phase and one of the crumpled phases. We find also that the model undergoes a second- (or higher-) order phase transition between the branched polymer phase and another crumpled phase.
我们研究了一种弹性表面模型，该模型最初由贝利等人构建，用于在流体膜和晶体膜模型之间进行插值。该模型的哈密顿量是高斯能量和标量曲率平方能量的线性组合。这些能量项在允许自相交的动态三角剖分表面上离散化。我们证实该模型不仅具有皱缩相，还具有分支聚合物相，并且发现该模型在分支聚合物相和其中一个皱缩相之间经历一阶相变。我们还发现该模型在分支聚合物相和另一个皱缩相之间经历二阶（或更高阶）相变。
