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三维半柔性磁性聚合物的相图

Phase diagram of a semiflexible magnetic polymer in three dimensions

Linda Delimi, Arpan Dey, Jean-Charles Walter

arXiv 2610.08958首次发表:更新:

发表机构

Laboratoire Charles Coulomb (L2C), Univ. Montpellier, CNRS(夏尔·库仑实验室(L2C),蒙彼利埃大学,法国国家科学研究中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究通过蒙特卡洛模拟和变分方法,揭示了半柔性磁性聚合物中刚度与磁自由度耦合导致的丰富相图,包括一级相变和有序晶体相。

AI 中文摘要

我们研究了一种半柔性磁性聚合物,其中每个单体携带一个二态自旋,从而产生耦合的构象、刚度和磁自由度。该模型为体内核蛋白复合物提供了最小表示,其中必须同时容纳DNA弯曲刚度和桥接蛋白。我们采用面心立方(FCC)晶格上的蒙特卡洛模拟,并辅以变分自由能上界方法,来表征作为弯曲刚度和温度函数的零场相图。在低刚度下,我们识别出一个一级相变,将线圈到球体的塌缩与铁磁到顺磁的转变相结合。在较低温度下,另一个一级相变将无序球体与有序晶体分开,该晶体以键切线的向列类取向序为特征。在高刚度下,球体消失,导致直接的线圈到晶体的一级相变。这些结果展示了链刚度和磁自由度如何与聚合物构象耦合,并重组零场相图。我们的模型连接了柔性磁性聚合物和半柔性均聚物这两个极限情况,后者对应于所有自旋对齐的强场极限。

英文摘要

We study a semiflexible magnetic polymer in which each monomer carries a two-state spin, giving rise to coupled conformational, stiffness, and magnetic degrees of freedom. The model provides a minimal representation of nucleoprotein complexes in vivo, in which DNA bending rigidity and bridging proteins must be simultaneously accommodated. We employ Monte Carlo simulations on a face-centered-cubic (FCC) lattice, complemented by a variational free-energy upper-bound approach, to characterize the zero-field phase diagram as a function of bending stiffness and temperature. At low stiffness, we identify a first-order transition combining coil-to-globule collapse with a ferromagnetic-to-paramagnetic transition. At lower temperatures, an additional first-order transition separates the disordered globule from an ordered crystal characterized by nematic-like orientational order of the bond tangents. At high stiffness, the globule disappears, resulting in a direct first-order coil-to-crystal transition. These results demonstrate how chain stiffness and magnetic degrees of freedom couple to polymer conformation and reorganize the zero-field phase diagram. Our model connects the two limiting cases of flexible magnetic polymers and semiflexible homopolymers, the latter corresponding to the strong-field limit in which all spins are aligned.

Comments15 pages, 16 figures (main+appendices)

论文原文

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