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diff --git a/response.tex b/response.tex index 1709e15..4917d67 100644 --- a/response.tex +++ b/response.tex @@ -87,33 +87,35 @@ because it demands of the readers a slightly longer attention span. Below, we respond to the referees' comments. -{\it Report of Referee A -- LY17256/Kent-Dobias - The authors consider spin glass models with mixed p-spin interactions - on the N-Sphere and calculate the number of stationary points, the - logarithm of which yields the complexity. The disorder average of this - logarithm is computed with the replica trick, and for different model - variants different replica symmetry breaking (RSB) solutions are - obtained. A new feature of the solutions, in contrast to previous - replica symmetric calculations, is that RSB must occur in parts of the - energy-stability phase diagram. - - The paper is clearly written although the content is rather technical - and probably only accessible to experts in mean field spin glass - models and the different RSB schemes developed in this field. In - connection with the well-studied p=3 spin glass model it is briefly - mentioned that the complexity and its transitions as a function of - energy and/or stability is relevant for the equilibrium and the - dynamical behavior of this model – but such a connection has not been - made here. - - Therefore, I feel that the results presented here are only interesting - for group of experts and I do not assess the finding that the - complexity of mixed p-spin glass models shows RSB as a major - breakthrough in the field. Therefore, the manuscript is not suitable - for publication in Phys. Rev. Lett., and the publication of the - accompanying longer paper, submitted to PRE, is sufficient to - disseminate the results summarized in this manuscript.} - +Report of Referee A -- LY17256/Kent-Dobias +\begin{quote} + \it + The authors consider spin glass models with mixed p-spin interactions + on the N-Sphere and calculate the number of stationary points, the + logarithm of which yields the complexity. The disorder average of this + logarithm is computed with the replica trick, and for different model + variants different replica symmetry breaking (RSB) solutions are + obtained. A new feature of the solutions, in contrast to previous + replica symmetric calculations, is that RSB must occur in parts of the + energy-stability phase diagram. + + \hspace{2em}The paper is clearly written although the content is rather technical + and probably only accessible to experts in mean field spin glass + models and the different RSB schemes developed in this field. In + connection with the well-studied p=3 spin glass model it is briefly + mentioned that the complexity and its transitions as a function of + energy and/or stability is relevant for the equilibrium and the + dynamical behavior of this model – but such a connection has not been + made here. + + \hspace{2em}Therefore, I feel that the results presented here are only interesting + for group of experts and I do not assess the finding that the + complexity of mixed p-spin glass models shows RSB as a major + breakthrough in the field. Therefore, the manuscript is not suitable + for publication in Phys. Rev. Lett., and the publication of the + accompanying longer paper, submitted to PRE, is sufficient to + disseminate the results summarized in this manuscript. +\end{quote} Referee A correctly points out that one new feature of the solutions @@ -145,19 +147,20 @@ with dynamics (for example in Sherrington Kirkpatrick) if it is unknown}. %compelling deepening of problems, are worthy of a broad audience. Report of Referee B -- LY17256/Kent-Dobias -{\it The paper presents a computation of the complexity in spherical - spin-glass models. Neither the techniques nor the results are - sufficiently new and relevant to justify publication on PRL. This is - not surprising given that the topic has been studied extensively in - the last thirty years and more, the only novelty with respect to - previous work is that the results are obtained at zero temperature but - this is definitively not enough. Essential open problems in the field - involves dynamics and activated processes and some results have - appeared recently, instead the analysis of the static landscape, to - which the present paper is a variation, failed to deliver answers to - these questions up to now. - - } +\begin{quote} + \textit{The paper presents a computation of the complexity in spherical + spin-glass models. Neither the techniques nor the results are + sufficiently new and relevant to justify publication on PRL. This is + not surprising given that the topic has been studied extensively in + the last thirty years and more, the only novelty with respect to + previous work is that the results are obtained at zero temperature but + this is definitively not enough. Essential open problems in the field + involves dynamics and activated processes and some results have + appeared recently, instead the analysis of the static landscape, to + which the present paper is a variation, failed to deliver answers to + these questions up to now. + } +\end{quote} Concerning the statement of Referee B that "the only novelty with respect to previous work is that the results are obtained at zero @@ -188,10 +191,12 @@ the field," and agree that our work does not deliver answers. However, delivering answers for all essential open problems is not the acceptance criterion of PRL. These are - - Open a new research area, or a new avenue within an established area. - - Solve, or make essential steps towards solving, a critical problem. - - Introduce techniques or methods with significant impact. - - Be of unusual intrinsic interest to PRL's broad audience. +\begin{itemize} + \item Open a new research area, or a new avenue within an established area. + \item Solve, or make essential steps towards solving, a critical problem. + \item Introduce techniques or methods with significant impact. + \item Be of unusual intrinsic interest to PRL's broad audience. +\end{itemize} We believe our manuscript makes essential steps toward solving the critical problem of connecting analysis of the static landscape to |