scholarly journals Highq-state clock spin glasses in three dimensions and the Lyapunov exponents of chaotic phases and chaotic phase boundaries

2013 ◽  
Vol 87 (3) ◽  
Author(s):  
Efe Ilker ◽  
A. Nihat Berker
Keyword(s):  
Lyapunov Exponents ◽  
Spin Glasses ◽  
Three Dimensions ◽  
Phase Boundaries

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.

Nmr and Mössbauer Effect Studies on Diluted Heisenberg Ferromagnets and Spin-Glasses: EuxSr1−xS

1980 ◽  
Vol 3 ◽  
Author(s):  
H. Lütgemeier ◽  
Ch. Sauer ◽  
W. Zinn
Keyword(s):  
Hyperfine Field ◽  
Spin Glasses ◽  
Exchange Interactions ◽  
Paramagnetic Phase ◽  
Nearest Neighbour ◽  
Mossbauer Effect ◽  
Phase Boundaries ◽  
Magnetic Dilution ◽  
The Individual ◽  
The Eu

ABSTRACTThe systematic variations of experimentally determined exchange and hyperfine (h.f.) interactions between Eu2+ ions are compared firstly within the EuX (X=0,S,Se,Te) series of compounds and secondly in the magnetic dilution system EuxSr1−xS. Reasonably relations can be established between the individual nearest and next nearest neighbour exchange interactions (J1,J2 ) and the transferred h.f. interactions (ΔB1 , ΔB2 ), respectively, by considering their variations with the Eu–Eu distances (R1,R2). Using these results, the measured mean hyperfine field, BI(x), and the ferromagnetic saturation h.f. field, B↑↑ (x), of the EuxSr1−xS system can be related reasonably well to the ferro- and paramagnetic phase boundaries, Tc(x) and θ (x), respectively.

PHASE TRANSITIONS IN SPIN GLASSES

2009 ◽  
Vol 20 (09) ◽  
pp. 1411-1421
Author(s):  
A. P. YOUNG
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Spin Glass ◽  
Spin Glasses ◽  
Finite Size ◽  
Three Dimensions ◽  
Scaling Analysis ◽  
Zero Field ◽  
Exchange Method ◽  
Ising Spin

Some recent progress in Monte Carlo simulations of spin glasses will be presented. The problem of slow dynamics at low temperatures is partially alleviated by use of the parallel tempering (replica exchange) method. A useful technique to check for equilibration (applicable only for a Gaussian distribution) will be discussed. It will be argued that a finite size scaling analysis of the scaled correlation length of the system is a good approach with which to investigate phase transitions in spin glasses. This method will be used to study two questions: (i) whether there is a phase transition in zero field in the Heisenberg spin glass in three dimensions, and (ii) whether there is phase transition in a magnetic field in an Ising spin glass, also in three dimensions.

FRACTAL DOMAIN WALLS IN ISING SPIN GLASSES

Fractals ◽  
1994 ◽  
Vol 02 (04) ◽  
pp. 481-484 ◽  
Author(s):  
MAREK CIEPLAK ◽  
MAI SUAN LI
Keyword(s):  
Spin Glasses ◽  
Domain Walls ◽  
Mean Field ◽  
Field Studies ◽  
Three Dimensions ◽  
Ising Spin ◽  
Local Mean ◽  
Fractal Domain

Local mean field studies of domain walls in Ising spin glasses yield the fractal dimensionalities of 1.27 ± 0.04 and 2.57 ± 0.07 for two and three dimensions, respectively.

scholarly journals Dynamic variational study of chaos: spin glasses in three dimensions

2018 ◽  
Vol 2018 (3) ◽  
pp. 033302 ◽  
Author(s):  
A Billoire ◽  
L A Fernandez ◽  
A Maiorano ◽  
E Marinari ◽  
V Martin-Mayor ◽  
...  
Keyword(s):  
Spin Glasses ◽  
Three Dimensions ◽  
Variational Study
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