By combining the scaling relation of Amoruso {\it et al.}, PRL {\bf 97}, 267202 (2006) with standard droplet model assumptions, a value $θ= (\sqrt{6} - 3) / 2$ is obtained. This conjecture is reasonably consistent with the best existing numerical calculations, and may be exact.
In a section of a recent publication, [J. Yeo and M.A. Moore, Phys. Rev. B 91, 104432 (2015)], the authors discuss some of the arguments in the paper by Parisi and Temesvári [Nuclear Physics B 858, 293 (2012)]. In this comment, it is shown how these arguments are misinterpreted, and the existence of the Almeida-Thouless transition in the upper critical dimension 6 reasserted.
Comment on "Ising Spin Glasses in a Magnetic Field"
在参考文献cond-mat/9811419中，Houdayer和Martin分析了具有磁场$B$的T=0 3d EA自旋玻璃。通过使用一种新的、强大的方法，他们确定了作为晶格尺寸$L$的函数的有效临界场$B_c$。他们用他们的结果来推断模型的行为与液滴方法相似，而不像平均场论。我们在这里表明，通过使用一些未发表的数据，这个非常有趣的方法和数值结果是完全兼容的行为所隐含的复本对称性破缺理论。
In the paper [Angelini M C, Parisi G, and Ricci-Tersenghi F, Ensemble renormalization group for disordered systems, Phys. Rev. B 87 134201 (2013)] we introduced a real-space renormalization group called Ensemble Renormalization Group (ERG) and we applied it to the Edwards-Anderson model, obtaining estimates for the critical exponents in good agreement with those from Monte Carlo simulations. Recently the paper [Castellana M, Real-space renormalization-group methods for hierarchical spin glasses, J. Phys. A: Math. Theor. 52 445002 (2019)] re-examined the ERG method from a different perspective,…
In his Comment, Temesvári objects to a remark in our paper [Phys.\ Rev.\ B {\bf 91}, 104432 (2015)] that his result for the form of the Almeida-Thouless (AT) line obtained in an earlier paper with Parisi [Nucl.\ Phys.\ B {\bf 858}, 293 (2012)] in six dimensions can be obtained by taking the limit of $d \to 6$ in the equations valid for $d>6$, but that this violated one of the inequalities needed for their validity. He is just pointing out that they gave a derivation of the form of the AT line in six dimensions in [Nucl.\ Phys.\ B {\bf 858}, 293 (2012)] which avoided this difficulty. However, i…
Reply to Comment on "Two time scales and violation of the Fluctuation-Dissipation Theorem in a finite dimensional model for structural glasses"
在对我们最近的论文"Two time scales and violation of FDT in a finite dimensional model for structural glasses"[1]的评论（cond-mat/0103444）中，A. de Candia和A. Coniglio等证明了阻挫Ising格子气（FILG）的平衡重叠分布P（q）与文献[1]中提出的非平衡结果不一致。在这个答复中，我们展示了澄清争议的FILG的玻璃相的新结果。然而，均衡P（q）的结构仍然是一个悬而未决的问题。[1]F. Ricci-Tersenghi，D. a. Stariolo和J.J.Arenzon，Phys.Rev.Lett. 84，4473（2000）。
In their comment, Angelini et al. object to the conclusion of [J. Phys. A: Math. Theor., 52:445002, 2019] (1), where we show that in [Phys. Rev. B, 87:134201, 2013] the exponent $ν$ has been obtained by applying a mathematical relation in a regime where this relation is not valid. We observe that the criticism above on the mathematical validity of such relation has not been addressed in the comment. Our criticism thus remains valid, and disproves the conclusions of the comment. This constitutes the main point of this reply. We also provide a point-by-point response and discussion of Angelini e…
We discuss a field-theoretical approach to liquids, solids and glasses, published recently [Phys.Rev.E {\bf105}, 034108 (2022)], which aims to describe these materials in a common quantum formalism. We argue that such quantum formalism is not applicable to classical liquids, and the results presented, which rely heavily on the concept of phase relaxation borrowed from quantum fluids, contradict the known hydrodynamic theory of classical liquids. In particular, the authors miss the important particle-number conservation law and the density fluctuations as hydrodynamic slow variable. Instead, th…
Comment on "General Method to Determine Replica Symmetry Breaking Transitions"
在最近的一封信中，Marinari等人[Phys. Rev. Lett. 81，1698（1998）]介绍了一种新的方法来研究自旋玻璃转变，并认为通过探测副本对称性（RS）而不是时间反演对称性（TRS），他们的方法明确地表明，复本对称性破缺（RSB）发生在短程自旋玻璃中。在这篇评论中，我们表明，虽然新的方法确实是有用的研究系统中的TRS是不存在的（如p-自旋模型研究他们）的转变，结论，它表明存在的RSB在短程自旋玻璃是错误的。
