CHIRAL ORDER IN SPIN GLASSES

1996 ◽  
Vol 07 (03) ◽  
pp. 345-353 ◽  
Author(s):  
HIKARU KAWAMURA

The results of the recent numerical simulations on vector spin glasses are presented. Numerical evidence of the novel chiral-glass state, accompanied with broken spin-reflection symmetry with preserving spin-rotation symmetry, is presented. Implication to experiments on spin-glass transitions is discussed.

1985 ◽  
Vol 63 ◽  
Author(s):  
A. T. Ogielski

ABSTRACTExtensive numerical simulations of random magnetic materials have been recently performed at AT&T Bell Laboratories with a fast specially designed computer. I will discuss certain issues concerning the use of specialized computers in research, and I will review some major results obtained in simulations of a three-dimensional spin glass and an antiferromagnet with random fields.


1987 ◽  
Vol 01 (01n02) ◽  
pp. 27-37 ◽  
Author(s):  
M.V. FEIGEL’MAN ◽  
L.B. IOFFE ◽  
A.I. LARKIN ◽  
V.M. VINOKUR

The phase transition into a spin glass-like state is predicted for the system of superconductive wires connected by Josephson links and placed into the magnetic field. History-dependent equations of state for T<Tc are derived and diamagnetic response to the variation of the magnetic field is predicted. The experiments that can solve the discrepancy between the analytical theory and the numerical simulations on the existence of the phase transition in the vector spin glasses are discussed.


1995 ◽  
Vol 148 (2) ◽  
pp. 551-564 ◽  
Author(s):  
A. Höfer ◽  
M. Fricke ◽  
Ch. Böttger ◽  
J. Hesse
Keyword(s):  

Author(s):  
Daniel L. Stein ◽  
Charles M. Newman

This chapter considers how spin glass science fits into the larger area of complexity studies. It discusses three landmark papers in the field of complexity, by Warren Weaver, Herb Simon, and Phil Anderson, respectively, and examines how the ideas they introduced might relate to the current understanding of spin glasses. It also takes a brief look at recent developments, in particular various proposals for measures of complexity, and considers how they might illuminate some features of spin glasses. It concludes by asking whether spin glasses can still be thought of as “complex systems,” and in so doing introduces a proposal for a kind of “new complexity” as it relates to spin glasses.


Author(s):  
Sigismund Kobe ◽  
Jarek Krawczyk

The previous three chapters have focused on the analysis of computational problems using methods from statistical physics. This chapter largely takes the reverse approach. We turn to a problem from the physics literature, the spin glass, and use the branch-and-bound method from combinatorial optimization to analyze its energy landscape. The spin glass model is a prototype that combines questions of computational complexity from the mathematical point of view and of glassy behavior from the physical one. In general, the problem of finding the ground state, or minimal energy configuration, of such model systems belongs to the class of NP-hard tasks. The spin glass is defined using the language of the Ising model, the fundamental description of magnetism at the level of statistical mechanics. The Ising model contains a set of n spins, or binary variables si, each of which can take on the value up (si = 1) or down (si= 1).


2018 ◽  
Vol 241 ◽  
pp. 01020
Author(s):  
Mikhail E. Semenov ◽  
Olesia I. Kanishcheva ◽  
Peter A. Meleshenko ◽  
Olga O. Reshetova ◽  
Roman E. Pervezentzev ◽  
...  

In this work we introduce the novel class of hysteretic operators with random parameters. We consider the definition of these operators in terms of the “input-output” relations, namely: for all permissible continuous inputs corresponds the output in the form of stochastic Markovian process. The properties of such operators are also considered and discussed on the example of a non-ideal relay with random parameters. Application of hysteretic operators with stochastic parameters is demonstrated on the example of simple oscillating system and the results of numerical simulations are presented.


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