用热力学曲率探测竞争相互作用的介观尺度：双参数ANNNI链的案例
Probing the mesoscopics of competing interactions with the thermodynamic curvature: the case of a two-parameter ANNNI chain
AI总结：
本文通过双参数ANNNI链验证热力学曲率R作为关联体积和统计相互作用度量的猜想，并揭示介观涨落子结构特征及三阶涨落矩的关键作用。
摘要：
本文考察了长期存在的猜想的全部适用范围，这些猜想将不变热力学曲率$R$认定为关联体积$ξ^d$，同时也将其认定为底层统计相互作用的一种度量。为此，我们建立了一个双参数ANNNI（轴向次近邻伊辛）链，该链具有两个次近邻（nnn）相互作用和一个最近邻（nn）相互作用。相互作用之间的竞争以及由此产生的阻挫导致了丰富的相行为，包括两个亚铁磁亚相之间的交叉转变。我们证明，$R$证实了其所有被猜想的属性，并为介观涨落子结构的特征提供了有价值的见解。在一个远离临界点的位置上，$R$被证明能够解决一个迄今未被注意到的涉及$ξ$的棘手问题，这显著地展示了其相关性。零场$R$的一个物理上透明的表达式有助于聚焦某些三阶涨落矩所起的关键作用。
英文摘要：
This work examines the full scope of long-standing conjectures identifying the invariant thermodynamic curvature $R$ as the correlation volume $ξ^d$ and also as a measure of underlying statistical interactions. To this end, we set up a two-parameter ANNNI (Axial Next Nearest Neighbour Ising) chain featuring two next nearest neighbour (nnn) and a nearest neighbour (nn) interaction. Competition between interactions and resulting frustration engender a rich phase behaviour including a cross-over between two ferrimagnetic sub-phases. We show that $R$ attests to all its conjectured attributes with valuable insights into the character of mesoscopic fluctuating substructures. In a remarkable demonstration of its relevance at a far-from-critical point, $R$ is shown to resolve a hitherto unnoticed tricky issue involving $ξ$. A physically transparent expression for the zero field $R$ helps bring into focus the pivotal role played by some third order fluctuation moments.
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。
