聚合物链中的普遍负能量弹性：随机、自回避和邻避行走之间的交叉转换
Universal Negative Energetic Elasticity in Polymer Chains: Crossovers among Random, Self-Avoiding, and Neighbor-Avoiding Walks
AI总结：
本研究通过DJ模型和ISAW模型揭示聚合物链中负能量弹性的普遍性，并发现其内能遵循统一的标度律。
摘要：
凝胶中的负能量弹性挑战了传统凝胶弹性的理解；尽管进行了大量研究，仍缺乏简洁的解释。在本研究中，我们使用弱自回避行走（Domb-Joyce模型；DJ模型）和相互作用自回避行走（ISAW）来研究聚合物链中负能量弹性的出现。通过精确枚举，我们证明DJ模型和ISAW均表现出负能量弹性，这是由于聚合物段之间的有效软排斥相互作用所致。此外，我们发现两种模型的内能具有普遍的标度律，具有相同的指数$7/4$，在随机行走-自回避行走和自回避行走-邻避行走交叉转换中保持一致。这些发现表明，负能量弹性是聚合物网络和链的基本且普遍的性质。
英文摘要：
Negative energetic elasticity in gels challenges the conventional understanding of gel elasticity; despite extensive research, a concise explanation remains elusive. In this study, we use the weakly self-avoiding walk (the Domb-Joyce model; DJ model) and interacting self-avoiding walk (ISAW) to investigate the emergence of negative energetic elasticity in polymer chains. Using exact enumeration, we show that both the DJ model and ISAW exhibit negative energetic elasticity, which is caused by effective soft-repulsive interactions between polymer segments. Moreover, we find that a universal scaling law for the internal energy of both models, with a common exponent of $7/4$, holds consistently across both random-walk-self-avoiding-walk and self-avoiding-walk-neighbor-avoiding-walk crossovers. These findings suggest that negative energetic elasticity is a fundamental and universal property of polymer networks and chains.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
