Journal ArticleDOI
High-temperature expansions at an arbitrary magnetization in the ising model
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This article is published in Theoretical and Mathematical Physics.The article was published on 1976-03-01. It has received 10 citations till now. The article focuses on the topics: Square-lattice Ising model & Ising model.read more
Citations
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Inverse statistical problems: from the inverse Ising problem to data science
TL;DR: This review focuses on the inverse Ising problem and closely related problems, namely how to infer the coupling strengths between spins given observed spin correlations, magnetizations, or other data.
Journal ArticleDOI
Inverse statistical problems: from the inverse Ising problem to data science
TL;DR: Inverse problems in statistical physics are motivated by the challenges of ''big data'' in different fields, in particular high-throughput experiments in biology as discussed by the authors, where the usual procedure of statistical physics needs to be reversed: instead of calculating observables on the basis of model parameters, we seek to infer parameters of a model based on observations.
Journal ArticleDOI
Ising limit of a Heisenberg XXZ magnet and some temperature correlation functions
N. M. Bogoliubov,C. Malyshev +1 more
TL;DR: In this article, the authors considered the case where the anisotropy parameter tends to infinity (the so-called Ising limit) and derived the temperature correlation function of a ferromagnetic string above the ground state.
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The Izing limit of the XXZ Heisenberg magnet and certain thermal correlation functions
N. M. Bogoliubov,C. Malyshev +1 more
TL;DR: In this article, a thermal correlation function of the ferromagnetic string is calculated over the ground state, based on the observation that the wave function in the limit considered is expressed in terms of the symmetric Schur functions.
Journal ArticleDOI
Expansion of the effective action around non-Gaussian theories
TL;DR: In this article, the Feynman rules for diagrammatic perturbation expansion of the effective action around an arbitrary solvable problem are derived for the Ising model, where the Gibbs free energy is defined as the Gibbs energy.
References
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Book
Introduction to Phase Transitions and Critical Phenomena
H. Eugene Stanley,Guenter Ahlers +1 more
TL;DR: In this article, the authors present a paperback edition of a distinguished book, originally published by Clarendon Press in 1971, which is at the level at which a graduate student who has studied condensed matter physics can begin to comprehend the nature of phase transitions, which involve the transformation of one state of matter into another.
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The theory of equilibrium critical phenomena
TL;DR: The theory of critical phenomena in systems at equilibrium is reviewed at an introductory level with special emphasis on the values of the critical point exponents α, β, γ,..., and their interrelations as mentioned in this paper.
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Static Phenomena Near Critical Points: Theory and Experiment
Leo P. Kadanoff,Wolfgang Götze,David Hamblen,Robert Hecht,E. A. S. Lewis,V. V. Palciauskas,Martin Rayl,Jack Swift,D. E. Aspnes,Joseph W. Kane +9 more
TL;DR: In this paper, the authors compared theory and experiment for behavior very near critical points, and suggested that scaling laws provide a promising approach to understand phenomena near the critical point, but that they are by no means proved or disproved by the existing experimental data.
Journal ArticleDOI
Thermodynamic Behavior of the Heisenberg Ferromagnet
TL;DR: A finite-temperature perturbation theory for the Heisenberg model with the object of providing a formalism in which contact can be made with the lowtemperature treatment by Dyson, with the random phase approximation of Englert, and, above the Curie point, with high-density treatments of the Ising model as mentioned in this paper.