First-order transition of tethered membranes in three-dimensional space.

First-order transition of tethered membranes in three-dimensional space.
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三维空间中系留膜的一阶跃迁。

DOI:
10.1103/physreve.66.066105
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发表时间:
2002
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
H. Diep
H. Diep
中科院分区:
--
文献类型:
--
作者:
J.;H. Diep

文献摘要

被引文献

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我们研究模型的幻影拴系膜,嵌入在三维空间中,通过广泛的蒙特卡罗模拟。该膜具有六边形晶格结构,其中每个单体与六个最近邻(NN)相互作用。神经网络之间的系绳相互作用,以及神经网络三角形之间的曲率惩罚考虑。该模型是新的,在这个意义上,神经网络的相互作用被考虑到截断的Lennard-Jones潜力,包括排斥和吸引的部分。我们的研究的主要结果是,该系统经历了一个一阶的褶皱过渡,从低温的平面相到高温的褶皱相,在早期的数值结果的模型栓系膜。
We study a model of phantom tethered membranes, embedded in three-dimensional space, by extensive Monte Carlo simulations. The membranes have hexagonal lattice structure where each monomer is interacting with six nearest-neighbors (NN). Tethering interaction between NN, as well as curvature penalty between NN triangles are taken into account. This model is new in the sense that NN interactions are taken into account by a truncated Lennard-Jones potential including both repulsive and attractive parts. The main result of our study is that the system undergoes a first-order crumpling transition from low-temperature flat phase to high-temperature crumpled phase, in contrast with early numerical results on models of tethered membranes.