两类哑铃式分子模型的动力学分析与比较

Dynamics Analysis and Comparison of Two Types Dumbbell Molecular Models

首先给出Hookean和FENE哑铃模型在具有内部粘性的稀溶液中的Fokker-Planck方程,并利用I t公式,将方程转化为I t随机微分方程,然后运用Euler法在不同的参数下进行数值模拟,最后对两类模型作了分析和比较。结果表明,FENE哑铃模型更适合模拟DNA等聚合物大分子在液体中的运动。

Fokker-Planck equations for both Hookean model and FENE dumbbell model with internal viscosity have been solved. By using Ito formula, the equations are transformed into Ito stochastic differential equations, and then simulated with different parameters using Euler method. At last, the numerical results for both models are anylysised and compared. The result is that FENE dumbbell model is more suitable for simulating the motion of DNA and other polymer molecules in the solution.