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arXiv 0706.4192cond-mat.soft
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良溶剂中可变柔性大分子的状态方程:格子模型蒙特卡罗模拟技术的比较

Equation of State for Macromolecules of Variable Flexibility in Good Solvents: A Comparison of Techniques for Monte Carlo Simulations of Lattice Models

V. A. Ivanov, E. A. An, L. A. Spirin, M. R. Stukan, M. Mueller, W. Paul, K. Binder

摘要:

通过广泛的蒙特卡罗模拟,得到了简单立方晶格上无热键涨落模型的渗透状态方程。对于短的大分子(链长N=20),我们研究了各种选择的链刚度的状态方程的影响。应用并比较了三种技术,以严格评估其效率和准确性:排斥壁法,热力学积分法(这取决于在巨正则系综模拟的可行性),和最近提倡的沉降平衡方法,它记录在一个外部的密度分布(例如,类引力)场,并通过局部密度近似从流体静力平衡条件推断状态方程。我们确认的结论是,后者的技术是更有效的排斥壁方法,但我们发现,热力学积分方法是同样有效的沉降平衡法。对于非常刚性的链的发病的顺序强制形成的各向同性的沉积平衡法导致强烈的舍入效应和偏离的过渡制度的真实状态方程的界面。

英文摘要:

The osmotic equation of state for the athermal bond fluctuation model on the simple cubic lattice is obtained from extensive Monte Carlo simulations. For short macromolecules (chain length N=20) we study the influence of various choices for the chain stiffness on the equation of state. Three techniques are applied and compared in order to critically assess their efficiency and accuracy: the repulsive wall method, the thermodynamic integration method (which rests on the feasibility of simulations in the grand canonical ensemble), and the recently advocated sedimentation equilibrium method, which records the density profile in an external (e.g. gravitation-like) field and infers, via a local density approximation, the equation of state from the hydrostatic equilibrium condition. We confirm the conclusion that the latter technique is far more efficient than the repulsive wall method, but we find that the thermodynamic integration method is similarly efficient as the sedimentation equilibrium method. For very stiff chains the onset of nematic order enforces the formation of isotropic-nematic interface in the sedimentation equilibrium method leading to strong rounding effects and deviations from the true equation of state in the transition regime.

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