scholarly journals Cluster analysis and finite-size scaling for Ising spin systems

1999 ◽  
Vol 60 (3) ◽  
pp. 2716-2720 ◽  
Author(s):  
Yusuke Tomita ◽  
Yutaka Okabe ◽  
Chin-Kun Hu
Keyword(s):  
Cluster Analysis ◽  
Finite Size ◽  
Spin Systems ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Ising Spin

Finite-size scaling in ferromagnetic spin systems on the pyrochlore lattice

2020 ◽  
pp. 255-266
Author(s):  
K.S. Soldatov ◽  
◽  
M.A. Padalko ◽  
V.S. Strongin ◽  
D.Yu. Kapitan ◽  
...  
Keyword(s):  
Heisenberg Model ◽  
High Performance ◽  
Finite Size ◽  
Spin Systems ◽  
Xy Model ◽  
Finite Size Scaling ◽  
Critical Temperatures ◽  
Cluster Algorithms ◽  
Size Scaling ◽  
Classical Heisenberg Model

In this paper we present the results of the high-performance computations for the Ising model, the XY-model and the classical Heisenberg model for the pyrochlore lattice. We used Wolff and Swendsen-Wang cluster algorithms with GPU parallelization for the calculations. We obtained critical exponents and critical temperatures using finite-size scaling approach.

scholarly journals Finite-size scaling in two-dimensional Ising spin-glass models

2011 ◽  
Vol 84 (5) ◽  
Author(s):  
Francesco Parisen Toldin ◽  
Andrea Pelissetto ◽  
Ettore Vicari
Keyword(s):  
Spin Glass ◽  
Finite Size ◽  
Two Dimensional ◽  
Finite Size Scaling ◽  
Ising Spin Glass ◽  
Size Scaling ◽  
Ising Spin

RECENT DEVELOPMENTS IN ISING SPIN GLASSES

1996 ◽  
Vol 07 (03) ◽  
pp. 327-335 ◽  
Author(s):  
A. P. YOUNG ◽  
N. KAWASHIMA
Keyword(s):  
Transition Temperature ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Ising Spin ◽  
Recent Developments ◽  
Rule Out

We have studied the three-dimensional Ising spin glass with a ± J distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite size scaling analysis shows quite strong evidence for a finite transition temperature, Tc, with ordering below Tc. Our estimate of the transition temperature is rather lower than in earlier work, and the value of the correlation length exponent, ν, is somewhat higher. Because there may be (unknown) corrections to finite size scaling, we do not completely rule out the possibility that Tc = 0 or that Tc is finite but with no order below Tc. However, from our data, these possibilities seem less likely.

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