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Theory of disordered spin systems
Leonid Pastur,Alexander Figotin +1 more
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This article is published in Theoretical and Mathematical Physics.The article was published on 1978-05-01. It has received 66 citations till now. The article focuses on the topics: Spin polarization & Spin engineering.read more
Citations
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Rounding effects of quenched randomness on first-order phase transitions
Michael Aizenman,Jan Wehr +1 more
TL;DR: In this paper, it was shown that the Gibbs state is unique for almost all field configurations, and that the vanishing of the latent heat at the transition point can be explained by the randomness in dimensions d ≥ 4.
Journal ArticleDOI
Collective properties of neural networks: A statistical physics approach
TL;DR: In this article, the storage capacity of neural networks working along with the Little dynamics is shown to be similar to the capacity of Hopfield neural networks, which is a more realistic description of the biological situation.
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Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model
Leonid Pastur,Mariya Shcherbina +1 more
TL;DR: In this article, it was shown that the variance of the free energy of the Sherrington-Kirkpatrick (SK) model converges to zero as n→∞.
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The replica-symmetric solution without replica trick for the Hopfield model
TL;DR: In this article, the saddle point equations for the Hopfield model were derived in the case of replica symmetry without using the replica trick, but assuming that the Edwards-Anderson parameter is a self-averaging quantity.
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Existence of free energy for models with long-range random Hamiltonians
Konstantin Khanin,Ya. G. Sinai +1 more
TL;DR: In this article, the free energy of a classical lattice system with random Hamiltonians was shown to exist with probability 1 and does not depend on the boundary conditions, provided α > 1/2.
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.
Journal ArticleDOI
Solvable Model of a Spin-Glass
TL;DR: In this article, an Ising model in which the spins are coupled by infinite-ranged random interactions independently distributed with a Gaussian probability density is considered and the competition between the phases and the type of order present in each is studied.
Journal ArticleDOI
Theory of spin glasses
Sam F. Edwards,Peter J. Anderson +1 more
TL;DR: In this paper, a new theory of spin glasses is proposed, which offers a simple explanation of the cusp found experimentally in the susceptibility, which is smoothed by an external field.
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Magnetic Ordering in Gold-Iron Alloys
V. Cannella,J. A. Mydosh +1 more
TL;DR: In this paper, the temperature dependences of the thermoelectric power and the low-field magnetic susceptibility for Fe alloys were made of the temperature dependent on the temperature.