scholarly journals Finite-size scaling of Monte Carlo simulations for the fcc Ising antiferromagnet: Effects of the low-temperature phase degeneracy

2018 ◽  
Vol 98 (17) ◽  
Author(s):  
Ronja Stübel ◽  
Wolfhard Janke
Keyword(s):  
Monte Carlo ◽  
Low Temperature ◽  
Monte Carlo Simulations ◽  
Finite Size ◽  
Temperature Phase ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Ising Antiferromagnet ◽  
Low Temperature Phase

scholarly journals Macroscopic degeneracy and order in the 3D plaquette Ising model

2015 ◽  
Vol 29 (20) ◽  
pp. 1550109 ◽  
Author(s):  
Desmond A. Johnston ◽  
Marco Mueller ◽  
Wolfhard Janke
Keyword(s):  
Low Temperature ◽  
Magnetic Order ◽  
Finite Size ◽  
Temperature Phase ◽  
Finite Size Scaling ◽  
First Order ◽  
Magnetic Order Parameter ◽  
First Order Transition ◽  
Definition Of ◽  
Low Temperature Phase

The purely plaquette 3D Ising Hamiltonian with the spins living at the vertices of a cubic lattice displays several interesting features. The symmetries of the model lead to a macroscopic degeneracy of the low-temperature phase and prevent the definition of a standard magnetic order parameter. Consideration of the strongly anisotropic limit of the model suggests that a layered, “fuki-nuke” order still exists and we confirm this with multi-canonical simulations. The macroscopic degeneracy of the low-temperature phase also changes the finite-size scaling corrections at the first-order transition in the model and we see this must be taken into account when analyzing our measurements.

scholarly journals Extrapolating Monte Carlo Simulations to Infinite Volume: Finite-Size Scaling atξ/L≫1

1995 ◽  
Vol 74 (15) ◽  
pp. 2969-2972 ◽  
Author(s):  
Sergio Caracciolo ◽  
Robert G. Edwards ◽  
Sabino José Ferreira ◽  
Andrea Pelissetto ◽  
Alan D. Sokal
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Finite Size ◽  
Infinite Volume ◽  
Finite Size Scaling ◽  
Size Scaling

scholarly journals FINITE SIZE SCALING ON THE ISING COEXISTENCE LINE

1992 ◽  
Vol 03 (05) ◽  
pp. 1119-1124
Author(s):  
SOURENDU GUPTA ◽  
A. IRBÄCK
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Finite Size ◽  
Temperature Phase ◽  
Two Dimensional ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Coexistence Line ◽  
Low Temperature Phase ◽  
Good Agreement

We report tests of finite-size scaling ansatzes in the low temperature phase of the two-dimensional Ising model. For moments of the magnetisation density, we find good agreement with the new ansatz of Borgs and Kotecký, and clear evidence of violations of the double Gaussian ansatz. We note that certain consequences of the convexity of the free energy are not adequately treated in either of these approaches.

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