Critical scaling laws in insulating spin glasses

1986 ◽  
Vol 54-57 ◽  
pp. 127-128 ◽  
Author(s):  
P. Beauvillain ◽  
C. Chappert ◽  
J.P. Renard ◽  
J. Seiden
Keyword(s):  
Spin Glasses ◽  
Scaling Laws ◽  
Critical Scaling

Equilibrium scaling laws for layered spin glasses

1993 ◽  
Vol 3 (10) ◽  
pp. 2041-2062 ◽  
Author(s):  
M. J. Thill ◽  
H. J. Hilhorst
Keyword(s):  
Spin Glasses ◽  
Scaling Laws ◽  
Layered Spin

scholarly journals The q-Phase Transition and Critical Scaling Laws near the Band-Crisis Point of Chaotic Attractors

1989 ◽  
Vol 82 (5) ◽  
pp. 879-896 ◽  
Author(s):  
T. Yoshida ◽  
S. Miyazaki ◽  
H. Mori ◽  
T. Kobayashi ◽  
T. Horita ◽  
...  
Keyword(s):  
Phase Transition ◽  
Scaling Laws ◽  
Chaotic Attractors ◽  
Critical Scaling

scholarly journals Determining the nonequilibrium criticality of a Gardner transition via a hybrid study of molecular simulations and machine learning

2021 ◽  
Vol 118 (11) ◽  
pp. e2017392118
Author(s):  
Huaping Li ◽  
Yuliang Jin ◽  
Ying Jiang ◽  
Jeff Z. Y. Chen
Keyword(s):  
Machine Learning ◽  
Phase Transition ◽  
Critical Exponents ◽  
Spin Glasses ◽  
Scaling Laws ◽  
Finite Size ◽  
Three Dimensions ◽  
Aging Effects ◽  
Correlation Lengths ◽  
Nonequilibrium Phase

Apparent critical phenomena, typically indicated by growing correlation lengths and dynamical slowing down, are ubiquitous in nonequilibrium systems such as supercooled liquids, amorphous solids, active matter, and spin glasses. It is often challenging to determine if such observations are related to a true second-order phase transition as in the equilibrium case or simply a crossover and even more so to measure the associated critical exponents. Here we show that the simulation results of a hard-sphere glass in three dimensions are consistent with the recent theoretical prediction of a Gardner transition, a continuous nonequilibrium phase transition. Using a hybrid molecular simulation–machine learning approach, we obtain scaling laws for both finite-size and aging effects and determine the critical exponents that traditional methods fail to estimate. Our study provides an approach that is useful to understand the nature of glass transitions and can be generalized to analyze other nonequilibrium phase transitions.

EFFECTS OF DIMENSIONALITY ON CRITICAL SCALING IN TWO ISING-TYPE INSULATING SPIN GLASSES

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1009-C8-1010
Author(s):  
D. Bertrand ◽  
A. R. Fert ◽  
J. P. Redoulès ◽  
J. Ferré ◽  
J. Souletie
Keyword(s):  
Spin Glasses ◽  
Critical Scaling

Validity and limitations of scaling laws in the theory of spin glasses

1979 ◽  
Vol 29 (8) ◽  
pp. 589-592 ◽  
Author(s):  
G. Corbelli ◽  
G. Morandi
Keyword(s):  
Spin Glasses ◽  
Scaling Laws

scholarly journals Finite-size critical scaling in Ising spin glasses in the mean-field regime

2016 ◽  
Vol 93 (3) ◽  
Author(s):  
T. Aspelmeier ◽  
Helmut G. Katzgraber ◽  
Derek Larson ◽  
M. A. Moore ◽  
Matthew Wittmann ◽  
...  
Keyword(s):  
Spin Glasses ◽  
Mean Field ◽  
Finite Size ◽  
Critical Scaling ◽  
Ising Spin ◽  
The Mean ◽  
Mean Field Regime
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