Slow Dynamics in the `Griffiths Phase' of the Two-Dimensional Ising Spin Glass

1995 ◽  
Vol 64 (11) ◽  
pp. 4418-4425 ◽  
Author(s):  
Tatsuo Komori ◽  
Koji Hukushima ◽  
Hajime Takayama
Keyword(s):  
Spin Glass ◽  
Two Dimensional ◽  
Griffiths Phase ◽  
Slow Dynamics ◽  
Ising Spin Glass ◽  
Ising Spin

SLOW DYNAMICS IN THE 'GRIFFITHS PHASE' OF THE 3D ± J ISING SPIN GLASS

1996 ◽  
Vol 07 (03) ◽  
pp. 371-378 ◽  
Author(s):  
TATSUO KOMORI ◽  
HAJIME TAKAYAMA
Keyword(s):  
Spin Glass ◽  
Relaxation Times ◽  
Relaxation Processes ◽  
Critical Dynamics ◽  
Griffiths Phase ◽  
Slow Dynamics ◽  
Ising Spin Glass ◽  
Slowing Down ◽  
Ising Spin ◽  
Crossover Behavior

Slow dynamics in the 'Griffiths phase' of the 3D ± J Ising spin glass is studied by means of Monte Carlo simulation, in which the spectra of (logarithms of) relaxation times, P (x) with x = ln τ, are analyzed in detail. At each temperature P (x) exhibits a characteristic crossover behavior at around a certain value xc which in turn tends to diverge toward the spin-glass critical temperature Tc. The contributions to the branch x ≲ xc are interpreted due to the ordinary critical slowing down process associated with Tc (critical dynamics). The behavior of P (x) at x ≲ xc, on the other hand, is consistent with the picture of relaxation processes of large, rare clusters which are related to the Griffiths singularity at the Curie temperature of the corresponding pure ferromagnet (cluster dynamics).

scholarly journals Energy gap of the bimodal two-dimensional Ising spin glass

2008 ◽  
Vol 10 (9) ◽  
pp. 093012 ◽  
Author(s):  
W Atisattapong ◽  
J Poulter
Keyword(s):  
Spin Glass ◽  
Energy Gap ◽  
Two Dimensional ◽  
Ising Spin Glass ◽  
Ising Spin

scholarly journals Universal critical behavior of the two-dimensional Ising spin glass

2016 ◽  
Vol 94 (2) ◽  
Author(s):  
L. A. Fernandez ◽  
E. Marinari ◽  
V. Martin-Mayor ◽  
G. Parisi ◽  
J. J. Ruiz-Lorenzo
Keyword(s):  
Spin Glass ◽  
Critical Behavior ◽  
Two Dimensional ◽  
Ising Spin Glass ◽  
Ising Spin

scholarly journals Dynamic scaling in the two-dimensional Ising spin glass with normal-distributed couplings

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
Na Xu ◽  
Kai-Hsin Wu ◽  
Shanon J. Rubin ◽  
Ying-Jer Kao ◽  
Anders W. Sandvik
Keyword(s):  
Spin Glass ◽  
Dynamic Scaling ◽  
Two Dimensional ◽  
Ising Spin Glass ◽  
Ising Spin
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