Kühn and Mazzeo Reply:

Kühn, Reimer; Mazzeo, Giorgio

doi:10.1103/physrevlett.84.6135

Phys. Rev. Lett.

2000

DOI: 10.1103/physrevlett.84.6135

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Kühn and Mazzeo Reply:

Reimer Kühn

Giorgio Mazzeo

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Cited by 5 publications

(1 citation statement)

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“…It is thus an important example of a pathological behavior in the Morita approach in a well-known disordered system, in a translation-invariant situation. For a discussion of the problems of the Morita approach with the theoretical physics community, see [7,15,16].…”

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confidence: 99%

Relative entropy and variational properties of generalized Gibbsian measures

Külske¹,

Ny²,

Redig³

2004

Ann. Probab.

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We study the relative entropy density for generalized Gibbs measures. We first show its existence and obtain a familiar expression in terms of entropy and relative energy for a class of "almost Gibbsian measures" (almost sure continuity of conditional probabilities). For quasilocal measures, we obtain a full variational principle. For the joint measures of the random field Ising model, we show that the weak Gibbs property holds, with an almost surely rapidly decaying translation-invariant potential. For these measures we show that the variational principle fails as soon as the measures lose the almost Gibbs property. These examples suggest that the class of weakly Gibbsian measures is too broad from the perspective of a reasonable thermodynamic formalism.

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confidence: 99%

Relative entropy and variational properties of generalized Gibbsian measures

Külske¹,

Ny²,

Redig³

2004

Ann. Probab.

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Külske

2003

Journal of Statistical Physics

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Scaling analysis of the site-diluted Ising model in two dimensions

Kenna

Ruiz‐Lorenzo

2008

Phys. Rev. E

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A combination of recent numerical and theoretical advances are applied to analyze the scaling behaviour of the site-diluted Ising model in two dimensions, paying special attention to the implications for multiplicative logarithmic corrections. The analysis focuses primarily on the odd sector of the model (i.e., that associated with magnetic exponents), and in particular on its Lee-Yang zeros, which are determined to high accuracy. Scaling relations are used to connect to the even (thermal) sector, and a first analysis of the density of zeros yields information on the specific heat and its corrections. The analysis is fully supportive of the strong scaling hypothesis and of the scaling relations for logarithmic corrections.

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Kühn and Mazzeo Reply:

Cited by 5 publications

References 6 publications

Relative entropy and variational properties of generalized Gibbsian measures

Relative entropy and variational properties of generalized Gibbsian measures

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Scaling analysis of the site-diluted Ising model in two dimensions

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