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A Simple Analytical Model for Predicting the Collapsed State of Self-Attractive Semiflexible Polymers

机译:一种简单的分析模型,用于预测自吸引自由魅力半成品的折叠状态

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We develop an analytical model to predict the collapse conformation for a single semiflexible polymer chain in solution, given its length, diameter, stiffness, and self-attractiveness. We construct conformational phase diagrams containing three collapsed states, namely torus, bundle, and globule over a range of dimensionless ratios of the three energy parameters, namely solvent-water surface energy ( γ s ), energy of bundle end folds ( γ e ), and bending energy per unit length in a torus ( γ b ). Our phase diagram captures the general phase behavior of a single long chain (>10 Kuhn lengths) at moderately high (order unity) dimensionless temperature, which is the ratio of thermal energy to the attractive interaction between neighboring monomers. We find that the phase behavior approaches an asymptotic limit when the dimensionless chain length to diameter ratio ( L *) exceeds 300. We successfully validate our analytical results with Brownian Dynamics (BD) simulations, using a mapping of the simulation parameters to those used in the phase diagram. We evaluate the effect of three different bending potentials in the range of moderately high dimensionless temperature, a regime not been previously explored by simulations, and find qualitative agreement between the model and simulation results. We, thus, demonstrate that a rather simplified analytical model can be used to qualitatively predict the final collapsed state of a given polymer chain.
机译:我们开发了一种分析模型,以预测溶液中单个半弯曲聚合物链的塌陷构象,鉴于其长度,直径,刚度和自吸引力。我们构建包含三个塌陷状态,即圆环,束和球状的构象相图,在三个能量参数的无量纲比范围内,即溶剂 - 水表面能(γS),束端折叠的能量(γe),在环形(γb)中每单位长度的弯曲能量。我们的相图在中等高(订单单位)无量纲温度下捕获单个长链(> 10kuhn长度)的一般相位行为,这是热能与相邻单体之间具有吸引性相互作用的比率。我们发现相位行为在无量纲链长度(L *)超过300时接近渐近极限。我们使用模拟参数的映射成功验证了我们的分析结果,使用仿真参数对所用的仿真参数映射相图。我们评估了三种不同弯曲电位在中等高度无量纲温度范围内的影响,以先前未经模拟探索的制度,并在模型和仿真结果之间找到定性协议。因此,我们证明了一种相当简化的分析模型可用于定性地预测给定聚合物链的最终塌陷状态。

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