Thermodynamic properties of the system with competing interactions on a triangular lattice

Y. Groda, Eldar Bildanov, V. Vikhrenko
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Abstract

The system that models biological objects (e.g. colloids, ensembles of protein molecules) with competing interactions is considered. Such objects attract each other on short distances and repel at larger separations. The model is the system of particles on a triangular lattice interacting via a pair potential which is attractive for the nearest neighbors and repulsive for the third ones. Monte Carlo simulation data for the chemical potential, thermodynamic factor and correlation functions indicate the possibility of order-disorder phase transitions in this system. The simulation data are compared with the analytical results on the basis of the quasichemical approximation.
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三角晶格上具有竞争相互作用系统的热力学性质
考虑了具有竞争相互作用的生物对象(例如胶体,蛋白质分子的集合)模型的系统。这类物体在短距离上相互吸引,在较大距离上相互排斥。该模型是三角形晶格上的粒子系统,通过对势相互作用,对最近的邻居是吸引的,对第三个邻居是排斥的。化学势、热力学因子和相关函数的蒙特卡罗模拟数据表明,该体系中存在有序-无序相变的可能性。在准化学近似的基础上,将模拟数据与解析结果进行了比较。
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