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高分子复数朗之万理论是一种超越平均场近似的理论模拟方法.给定所关心体系的配分函数后,则可以通过该方法在无任何近似的情况下得到所关心物理量的系综平均值,进而可以考虑各种涨落和关联效应.由于高分子场论中一般都是复数哈密顿量,因此与之对应的玻尔兹曼概率密度是振荡、非正定的.以该玻尔兹曼概率密度为接收概率的实数空间模拟采样的效率会变的特别低.复数朗之万理论把实数物理变量扩展到复空间,同时假设在复空间存在一个正定的概率密度.因此,在整个复空间进行采样可以有效地解决这一问题.本文简要地介绍了高分子复数朗之万理论的背景,以及实行该模拟的数值方法.此外还简要地介绍了高分子复数朗之万理论在对多价盐离子溶液研究的应用.超越平均场的复数朗之万理论在生物体系研究中也有很大的作用,比如对DNA凝聚、病毒内部电荷反转等等现象的理解.
The polymer complex theory of Long Wan is a theoretical simulation method that surpasses the average field approximation. Given the partition function of the system of interest, we can obtain the ensemble average of the physical quantities of concern without any approximation by this method , And then can consider a variety of fluctuations and the correlation effect.As the polymer field theory are generally complex Hamiltonian, so the corresponding Boltzmann probability density is oscillatory, nonpositive.Under the Boltzmann The real-space analog sampling with probability density as the receiving probability becomes particularly inefficient, and the complex Longman theory expands real-physical variables to complex spaces while assuming a positive definite probability density in complex spaces. Therefore, in the entire complex space Sampling can effectively solve this problem.This paper briefly introduces the background of the theory of polymer complex number Long Wan, and the numerical method to carry out the simulation.Moreover, Application of salt ion solution research.Multiple transcendental averages Lang’s theory also has a great role in the study of biological systems, such as DNA agglutination, virus internal Dutch reversed so the phenomenon of understanding.