调制系统的标度假设
A Scaling Hypothesis for Modulated Systems
摘要：
我们提出了一个模式形成系统的标度假设，其中的序参量的调制结果之间的竞争，短程相互作用和长程相互作用衰减的一些权力$α$的倒数距离。L是表征调制相位的空间长度，所有热力学量被预测为像L的某个幂一样缩放。关于L的标度维数仅取决于系统的维数d和指数α。标度预测与超薄铁磁薄膜的实验和计算结果一致。最后，我们的标度假设意味着，对于α>d的某个值范围，逆对称破缺跃迁可能系统地出现在所考虑的一类阻挫系统中。
英文摘要：
We propose a scaling hypothesis for pattern-forming systems in which modulation of the order parameter results from the competition between a short-ranged interaction and a long-ranged interaction decaying with some power $α$ of the inverse distance. With L being a spatial length characterizing the modulated phase, all thermodynamic quantities are predicted to scale like some power of L. The scaling dimensions with respect to L only depend on the dimensionality of the system d and the exponent α. Scaling predictions are in agreement with experiments on ultra-thin ferromagnetic films and computational results. Finally, our scaling hypothesis implies that, for some range of values α>d, Inverse-Symmetry-Breaking transitions may appear systematically in the considered class of frustrated systems.
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