Critical behavior of the surface-layer magnetization at the extraordinary transition in the three-dimensional Ising model

1990 ◽  
Vol 41 (7) ◽  
pp. 4786-4788 ◽  
Author(s):  
D. P. Landau ◽  
K. Binder
Keyword(s):  
Surface Layer ◽  
Ising Model ◽  
Critical Behavior ◽  
Three Dimensional ◽  
Layer Magnetization

CRITICAL BEHAVIOUR OF THE TRANSVERSE ISING MODEL WITH MODIFIED SURFACE EXCHANGE

2001 ◽  
Vol 15 (04) ◽  
pp. 379-384 ◽  
Author(s):  
J. M. WESSELINOWA ◽  
S. TRIMPER
Keyword(s):  
Monte Carlo ◽  
Surface Layer ◽  
Ising Model ◽  
Exchange Coupling ◽  
Three Dimensional ◽  
Transverse Field ◽  
Function Technique ◽  
Surface Phenomena ◽  
Surface Exchange ◽  
Modified Surface

Using a Green's function technique combined with the transfer-matrix method for the analysis of surface phenomena, we have studied a three-dimensional Ising model in a transverse field with a modified surface exchange coupling. The surface layer-polarization exponent is obtained as β s = 0.775 ± 0.006 which is entirely different from the bulk exponent of β = 0.317 ± 0.006. The results are in agreement with those based on renormalization group arguments and on Monte-Carlo simulations.

Critical behavior of three‐dimensional Ising model of spin glass (invited)

1985 ◽  
Vol 57 (8) ◽  
pp. 3382-3385 ◽  
Author(s):  
Andrew T. Ogielski ◽  
Ingo Morgenstern
Keyword(s):  
Ising Model ◽  
Spin Glass ◽  
Critical Behavior ◽  
Three Dimensional

Zeros of Partition Function and Critical Exponents of the 3D Diluted Ising Model

2016 ◽  
Vol 845 ◽  
pp. 150-153
Author(s):  
Andrey N. Vakilov
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Partition Function ◽  
Critical Behavior ◽  
Critical Exponents ◽  
Three Dimensional ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Zeros Of Partition Function

We used a Monte Carlo simulation of the structurally disordered three dimensional Ising model. For the systems with spin concentrations p = 0.95 ,0.8, 0.6 and 0.5 we calculated the correlation-length critical exponent ν by finite-size scaling. Extrapolations to the thermodynamic limit yield ν(0.95) = 0.705(5) ,ν(0.8) = 0.711(6),ν(0.6) = 0.736(6) and ν(0.5) = 0.744(6). These results are compatible with some previous estimates from a variety of sources. The analysis of the results demonstrates the nonuniversality of the critical behavior in the disordered Ising model.

scholarly journals Short-time dynamics and critical behavior of the three-dimensional site-diluted Ising model

2010 ◽  
Vol 81 (1) ◽  
Author(s):  
Vladimir V. Prudnikov ◽  
Pavel V. Prudnikov ◽  
Aleksandr S. Krinitsyn ◽  
Andrei N. Vakilov ◽  
Evgenii A. Pospelov ◽  
...  
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Three Dimensional ◽  
Time Dynamics ◽  
Short Time
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