Dynamic critical exponents in Ising spin glasses

1994 ◽  
Vol 49 (1) ◽  
pp. 728-731 ◽  
Author(s):  
L. Bernardi ◽  
I. A. Campbell
Keyword(s):  
Critical Exponents ◽  
Spin Glasses ◽  
Ising Spin

scholarly journals Critical exponents in Ising spin glasses

1997 ◽  
Vol 56 (9) ◽  
pp. 5271-5275 ◽  
Author(s):  
L. W. Bernardi ◽  
I. A. Campbell
Keyword(s):  
Critical Exponents ◽  
Spin Glasses ◽  
Ising Spin

scholarly journals Hyperscaling Violation in Ising Spin Glasses

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 978
Author(s):  
Ian A. Campbell ◽  
Per H. Lundow
Keyword(s):  
Critical Exponents ◽  
Spin Glasses ◽  
Critical Dimension ◽  
Ising Models ◽  
Upper Critical Dimension ◽  
Random Interactions ◽  
Ising Spin ◽  
Ising Systems ◽  
Binder Cumulant ◽  
Hyperscaling Violation

In addition to the standard scaling rules relating critical exponents at second order transitions, hyperscaling rules involve the dimension of the model. It is well known that in canonical Ising models hyperscaling rules are modified above the upper critical dimension. It was shown by M. Schwartz in 1991 that hyperscaling can also break down in Ising systems with quenched random interactions; Random Field Ising models, which are in this class, have been intensively studied. Here, numerical Ising Spin Glass data relating the scaling of the normalized Binder cumulant to that of the reduced correlation length are presented for dimensions 3, 4, 5, and 7. Hyperscaling is clearly violated in dimensions 3 and 4, as well as above the upper critical dimension D = 6 . Estimates are obtained for the “violation of hyperscaling exponent” values in the various models.

scholarly journals Ordering Temperatures and Critical Exponents in Ising Spin Glasses

1996 ◽  
Vol 77 (13) ◽  
pp. 2798-2801 ◽  
Author(s):  
L. W. Bernardi ◽  
S. Prakash ◽  
I. A. Campbell
Keyword(s):  
Critical Exponents ◽  
Spin Glasses ◽  
Ising Spin

APPLICATION OF AN EXTENDED ENSEMBLE METHOD TO SPIN GLASSES

1996 ◽  
Vol 07 (03) ◽  
pp. 337-344 ◽  
Author(s):  
KOJI HUKUSHIMA ◽  
HAJIME TAKAYAMA ◽  
KOJI NEMOTO
Keyword(s):  
Monte Carlo ◽  
Critical Temperature ◽  
Critical Exponents ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Observation Time ◽  
Monte Carlo Algorithm ◽  
Spin Glass Model ◽  
Ising Spin ◽  
Glass Model

An efficient Monte Carlo algorithm for simulating hardly-relaxing systems is proposed. By using this algorithm the three-dimensional ± J Ising spin glass model is studied. The result shows that reasonable values of the critical temperature and of the critical exponents can be obtained within Monte Carlo steps much shorter than the observation time a conventional simulation usually requires.

Damage Spreading in ±J Asymmetric Ising Spin Glasses

1995 ◽  
Vol 5 (3) ◽  
pp. 355-364 ◽  
Author(s):  
R. M.C. de Almeida ◽  
L. Bernadi ◽  
I. A. Campbell
Keyword(s):  
Spin Glasses ◽  
Damage Spreading ◽  
Ising Spin

scholarly journals Analysis of landscape hierarchy during coarsening and aging in Ising spin glasses

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Stefan Boettcher ◽  
Mahajabin Rahman
Keyword(s):  
Spin Glasses ◽  
Ising Spin

Monte Carlo renormalization-group study of Ising spin glasses

1988 ◽  
Vol 37 (13) ◽  
pp. 7745-7750 ◽  
Author(s):  
Jian-Sheng Wang ◽  
Robert H. Swendsen
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Spin Glasses ◽  
Ising Spin ◽  
Monte Carlo Renormalization Group
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