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Related papers: Free energy in the Sherrington-Kirkpatrick model w…

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This paper has been withdrawn.

Strongly Correlated Electrons · Physics 2007-05-23 Gang Su , Masuo Suzuki

This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.

High Energy Physics - Theory · Physics 2007-05-23 Zahid Zakir

This paper has been withdrawn.

Strongly Correlated Electrons · Physics 2009-11-11 H. -J. Mikeska , A. K. Kolezhuk

This paper has been withdrawn by the author due to the paper does not belong to Condensed Matter field.

Other Condensed Matter · Physics 2009-01-08 Shengguo Liu

This paper has been withdrawn, because the result turned out to be well known.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vyacheslav S. Rychkov

This paper was withdrawn by the author because the results already appeared in PRB 20, 4756 (1979).

Condensed Matter · Physics 2007-05-23 Minoru Takahashi

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

Astrophysics · Physics 2007-05-23 M. Chaves

In this paper, we present a short proof of the limit of free energy of spherical 2 spin Sherrington-Kirkpatrick (SSK) model without external field. This proof works for all temperatures and is based on the Laplace method of integration and…

Probability · Mathematics 2025-08-11 Debapratim Banerjee

We consider the 2-spin spherical Sherrington--Kirkpatrick model without external magnetic field where the interactions between the spins are given as random variables with heavy-tailed distribution. We show that the free energy exhibits a…

Probability · Mathematics 2024-11-01 Taegyun Kim , Ji Oon Lee

This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.

High Energy Physics - Theory · Physics 2007-05-23 Zahid Zakir

This paper has been withdrawn by the authors due to substantial changes.

Condensed Matter · Physics 2011-08-12 J. M. B. Noronha , D. J. Toms

This paper has been withdrawn by the authors due to numerical problems to get viable results.

Astrophysics · Physics 2010-11-17 Stephane Fay , Reza Tavakol

In [Physical Magazine, 35(3):593-601, 1977], Thouless, Anderson, and Palmer derived a representation for the free energy of the Sherrington-Kirkpatrick model, called the TAP free energy, written as the difference of the energy and entropy…

Probability · Mathematics 2019-01-15 Wei-Kuo Chen , Dmitry Panchenko

This paper has been withdrawn by the author(s), due the following reasons. A similar system for a different purpose has already been studied in Phys.Rev.D60:083001,1999 (astro-ph/9904315). Moreover, our analysis was wrong because we have…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomohiro Matsuda

The paper has been temporarily withdrawn by the authors.

Computational Physics · Physics 2008-02-03 H. Bachiri , L. Gilles , L. Vazquez

This paper has been withdrawn by the author

Performance · Computer Science 2015-11-13 Huaming Wu , Katinka Wolter

This paper has been withdrawn by the author(s) due to the discussion was made on the basis of linear term merely, which is incomplete.

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Pei-Qing Jin , You-Quan Li

This paper has been withdrawn at the request of one of the authors.

Nuclear Theory · Physics 2007-05-23 W. R. Gibbs , W. B. Kaufmann

This paper has been withdrawn by the authors. The parameterization of the FSR tensor has been not the most general.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hoefer , J. Gluza , S. Jadach , F. Jegerlehner
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