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arXiv 0705.3187cond-mat.dis-nn
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对“球形2 + p自旋玻璃模型:一个具有玻璃-玻璃转变的解析可解模型”的评论

Comment on ``Spherical 2 + p spin-glass model: An analytically solvable model with a glass-to-glass transition''

V. Krakoviack

摘要:

在显示玻璃-玻璃转变的简单模式耦合模型的旧结果的指导下,我们通过对由Crisanti和Leuzzi针对球形$s+p$平均场自旋玻璃[Phys.Rev.B73,014412(2006)]导出的具有一步复本对称性破缺(1 RSB)的溶液的粗略分析,当$s$和$p$被很好地分离时,这些系统的相行为还没有被完全理解。首先,在这些系统中似乎存在玻璃-玻璃转变的可能性。第二,我们发现明确的迹象表明,1 RSB解决方案不能在全玻璃相是正确的。因此,虽然所提出的分析显然是天真的,可能不准确,它肯定要求重新评估这些系统的物理,与无序和复杂系统的理论的潜在有趣的新发展的承诺。

英文摘要:

Guided by old results on simple mode-coupling models displaying glass-glass transitions, we demonstrate, through a crude analysis of the solution with one step of replica symmetry breaking (1RSB) derived by Crisanti and Leuzzi for the spherical $s+p$ mean-field spin glass [Phys. Rev. B 73, 014412 (2006)], that the phase behavior of these systems is not yet fully understood when $s$ and $p$ are well separated. First, there seems to be a possibility of glass-glass transition scenarios in these systems. Second, we find clear indications that the 1RSB solution cannot be correct in the full glassy phase. Therefore, while the proposed analysis is clearly naive and probably inexact, it definitely calls for a reassessment of the physics of these systems, with the promise of potentially interesting new developments in the theory of disordered and complex systems.

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