磁斯格明子聚合物中的尺度依赖普适类交叉
Scale-dependent universality class crossover in magnetic skyrmion polymers
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中文总结 AI 辅助
该研究针对磁斯格明子聚合物的统计力学违反生物聚合物普适谐调标度的问题，通过第一性原理计算对势并开展多尺度模拟，揭示了其尺度依赖的幂律行为及交叉机制，且与磁场强度、相互作用形式无关。
中文摘要 AI 辅助
偶极磁斯格明子可组装成具有交替螺旋性的链，作为一维聚合物发挥作用，但其统计力学违反了肌动蛋白、DNA和微管中观测到的普遍谐调标度。我们从第一性原理计算斯格明子间的对势，发现其具有双指数形式的竞争相互作用，包含两个特征衰减长度，分别对应排斥和吸引的不同微观机制。多尺度模拟显示，在单个键的蠕虫链极限下，温度依赖为指数1的幂律；在三键极限下，指数为1/2。我们发现该幂律行为与磁场强度显著无关，交叉源于负责键的竞争径向相互作用，导致四次方横向限制。我们还表明，竞争相互作用的精确形式（如莫尔斯势或双 Yukawa 势）不影响温度依赖关系。
英文摘要
Dipolar magnetic skyrmions can assemble into chains with alternating helicity that act as one-dimensional polymers, yet their statistical mechanics violates the universal harmonic scaling observed in actin, DNA, and microtubules. From first principles, we compute the inter-skyrmion pair potential and find a bi-exponential form of competing interactions with two characteristic decay lengths that encode the distinct microscopic mechanisms of repulsion and attraction. Multiscale simulations reveal a power-law temperature dependence with exponent $1$ in the worm-chain limit of a single bond, and exponent $1/2$ in the three-bond limit. We find that the power-law behavior is remarkably independent of magnetic field strength, and the crossover is due to competing radial interactions responsible for the bonds, resulting in a quartic transverse confinement. We show that the precise form of the competing interactions (e.g., Morse or double-Yukawa) does not affect the temperature dependence.
