Phase Diagram of Flexible Polymers with Quenched Disordered Charged Monomers
arXiv:2106.00484 · doi:10.1016/j.physa.2022.127787
Abstract
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 () and charged monomer concentration (). The coil-globule and globular-solid transitions are respectively second and first order for the entire concentration range. However, above a concentration threshold of , 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, , indicates that at high , 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 .
arXiv comment10 pages, 8 figures
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