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Reply to “Comment on ‘Fluctuation-dominated phase ordering at a mixed order transition’”
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-12-25 , DOI: 10.1088/1751-8121/abd34c
Mustansir Barma 1 , Satya N Majumdar 2 , David Mukamel 3
Affiliation  

Godrche, in Comment on ‘Fluctuation dominated phase ordering at a mixed order transition’ [2021 J. Phys. A: Math. Theor. 54 038001], has commented on our recent paper Fluctuation dominated phase ordering at a mixed order transition (2019 J. Phys. A: Math. Theor. 52 254001). This comment concerns the prefactor of the cusp-like small-argument singularity of the scaled spin-spin correlation function at criticality. We remark that the approach used in our paper is adequate for computing the cusp exponent, which is what is really needed to establish fluctuation-dominated phase ordering. Computing the precise value of the prefactor of the cusp singularity is irrelevant for this purpose, or for the physics behind the relation between the mixed order phase transition and the fluctuation-dominated phase ordering—the understanding of which was the main purpose of our paper.



中文翻译:

回复“关于'在混合阶跃迁中由波动主导的相序的评论'”

Godrche,评论“混合顺序过渡中的波动主导相序” [2021 J. Phys。答:数学。理论。 54 038001],在已混合的顺序转变(2019评论了我们最近的纸张波动主导相排序。数学理论值:J.物理学甲 52254001)。该评论涉及在临界状态下缩放自旋-自旋相关函数的尖状小参数奇异性的前因。我们注意到本文中使用的方法足以计算尖峰指数,这是建立起伏主导的相序的真正需要。为此,或者对于混合阶跃相变和波动主导相序之间的关系背后的物理学,计算尖点奇异性因子的精确值均无关紧要,对此的理解是本文的主要目的。

更新日期:2020-12-25
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