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arXiv 2106.00484cond-mat.soft
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具有猝灭无序带电单体的柔性聚合物的Phase Diagram

Phase Diagram of Flexible Polymers with Quenched Disordered Charged Monomers

B. B. Rodrigues, J. C. S. Rocha, B. V. Costa

摘要:

最近的进展,广义Entrance模拟和微正则分析允许调查的结构转变的聚合物模型在很宽的范围内的局部弯曲和扭转强度。有理由认为,静电相互作用在稳定和介导聚合物的结构转变中起着重要作用。我们提出了一个珠弹簧聚合物模型与随机分布的带电单体通过屏蔽库仑势相互作用。结合能量相关的单体更新方法和能量交换Wang-Landau(REWL)方法,构建了作为温度($T$)和带电单体浓度($η$)函数的超相图.在整个浓度范围内,线圈-小球和小球-固体的转变分别是二阶和一阶的。然而,在$η=80\%$的浓度阈值以上,静电排斥阻碍了固体和液体球的形成,并且双折射和熵相互作用之间的相互作用导致液体珍珠项链和固体螺旋结构的形成。概率分布,$P(E,T)$,表明在高$η$,珍珠项链液相冻结成一个稳定的固体螺旋状结构,具有比在低$η$冻结球转变的自由能垒高。

英文摘要:

Recent advances in Generalized Ensemble simulations and microcanonical analysis allowed the investigation of structural transitions in polymer models over a broad range of local bending and torsion strengths. It is reasonable to argue that electrostatic interactions play a significant role in stabilizing and mediating structural transitions in polymers. We propose a bead-spring polymer model with randomly distributed charged monomers interacting via a screened Coulomb potential. By combining the Replica Exchange Wang-Landau (REWL) method with energy-dependent monomer updates, we constructed the hyperphase diagram as a function of temperature ($T$) and charged monomer concentration ($η$). The coil-globule and globular-solid transitions are respectively second and first order for the entire concentration range. However, above a concentration threshold of $η=80\%$, electrostatic repulsion hinders the formation of solid and liquid globules, and the interplay between enthalpic and entropic interactions leads to the formation of liquid pearl-necklace ad solid helical structures. The probability distribution, $P(E,T)$, indicates that at high $η$, the pearl-necklace liquid phase freezes into a stable solid helix-like structure with a free energy barrier higher than the freezing globule transition at low $η$.

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