Finite-size effects for anisotropic 2D Ising model with various boundary conditions

2012 ◽  
Vol 45 (49) ◽  
pp. 494009 ◽  
Author(s):  
N Sh Izmailian
Keyword(s):  
Ising Model ◽  
Boundary Conditions ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Various Boundary Conditions

scholarly journals Finite size effects for the Ising Model coupled to 2-D random surfaces

1996 ◽  
Vol 368 (1-2) ◽  
pp. 55-63 ◽  
Author(s):  
N.D. Hari Dass ◽  
B.E. Hanlon ◽  
T. Yukawa
Keyword(s):  
Ising Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Random Surfaces

scholarly journals Finite-size effects in the interface of the 3D Ising model

1993 ◽  
Vol 302 (1) ◽  
pp. 74-79 ◽  
Author(s):  
M Caselle ◽  
F Gliozzi ◽  
S Vinti
Keyword(s):  
Ising Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
3D Ising Model

Coupling-anisotropy and finite-size effects in interfacial tension of the two-dimensional Ising model

1999 ◽  
Vol 32 (26) ◽  
pp. 4897-4906 ◽  
Author(s):  
Ming-Chya Wu ◽  
Ming-Chang Huang ◽  
Yu-Pin Luo ◽  
Tsong-Ming Liaw
Keyword(s):  
Ising Model ◽  
Interfacial Tension ◽  
Size Effects ◽  
Finite Size ◽  
Two Dimensional ◽  
Finite Size Effects

scholarly journals TESTING BOUNDARY CONDITIONS EFFICIENCY IN SIMULATIONS OF LONG-RANGE INTERACTING MAGNETIC MODELS

2004 ◽  
Vol 15 (01) ◽  
pp. 115-127 ◽  
Author(s):  
SERGIO A. CANNAS ◽  
CINTIA M. LAPILLI ◽  
DANIEL A. STARIOLO
Keyword(s):  
Low Temperature ◽  
Boundary Conditions ◽  
Size Effects ◽  
Periodic Boundary ◽  
Finite Size ◽  
Periodic Boundary Conditions ◽  
Ferromagnetic Phase ◽  
Temperature Phase ◽  
Finite Size Effects ◽  
Magnetic Systems

Periodic boundary conditions have no unique implementation in magnetic systems where all spins interact with each other through a power law decaying interaction of the form 1/rα, r being the distance between spins. In this work we present a comparative study of the finite size effects oberved in numerical simulations by using first image and infinite image periodic boundary conditions in one- and two-dimensional spin systems with those interactions, including the ferromagnetic, anti-ferromagnetic and competitive interaction cases. Our results show no significative differences between the finite size effects produced by both boundary conditions when the low temperature phase has zero global magnetization, and it depends on the ratio α/d for systems with a low temperature ferromagnetic phase. In the last case the first image convention gives more stronger finite size effects than the other when the system enters into the classical regime α/d≤3/2.

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