Critical amplitude ratios for critical wetting in three dimensions: Observation of nonclassical behavior in the Ising model

1991 ◽  
Vol 43 (13) ◽  
pp. 11535-11538 ◽  
Author(s):  
A. O. Parry ◽  
R. Evans ◽  
K. Binder
Keyword(s):  
Ising Model ◽  
Three Dimensions ◽  
Amplitude Ratios ◽  
Critical Amplitude ◽  
Critical Wetting

A Test of Scaling Theory on the Critical Isotherm

1972 ◽  
Vol 50 (24) ◽  
pp. 3117-3122 ◽  
Author(s):  
D. D. Betts ◽  
L. Filipow
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Excellent Agreement ◽  
Critical Behavior ◽  
Critical Exponents ◽  
High Field ◽  
Two Dimensional ◽  
Amplitude Ratios ◽  
Critical Amplitude ◽  
Critical Isotherm

Using recently extended data of Sykes et al. on the high field expansion of the free energy of the two-dimensional spin-1/2 Ising model the critical behavior of the magnetization and its first six temperature derivatives are examined on the critical isotherm. The estimates of the critical exponents and the critical amplitude ratios are found to be in reasonable to excellent agreement with scaling theories.

scholarly journals Universal amplitude ratios in the Ising model in three dimensions

2011 ◽  
Vol 2011 (09) ◽  
pp. P09019 ◽  
Author(s):  
A Gordillo-Guerrero ◽  
R Kenna ◽  
J J Ruiz-Lorenzo
Keyword(s):  
Ising Model ◽  
Three Dimensions ◽  
Amplitude Ratios

MONTE CARLO STUDIES OF THE THREE-DIMENSIONAL ISING MODEL IN EQUILIBRIUM

2001 ◽  
Vol 12 (07) ◽  
pp. 911-1009 ◽  
Author(s):  
MARTIN HASENBUSCH
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Three Dimensional ◽  
Finite Size ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Amplitude Ratios ◽  
Interface Tension ◽  
Monte Carlo Studies

We review Monte Carlo simulations of the Ising model and similar models in three dimensions that were performed in the last decade. Only recently, Monte Carlo simulations provide more accurate results for critical exponents than field theoretic methods, such as the ∊-expansion. These results were obtained with finite size scaling and "improved actions". In addition, we summarize Monte Carlo results for universal amplitude ratios, the interface tension, and the dimensional crossover from three to two dimensions.

Universal critical amplitude ratios inCHF3

1989 ◽  
Vol 39 (13) ◽  
pp. 9330-9335 ◽  
Author(s):  
Ulrike Närger ◽  
David A. Balzarini
Keyword(s):  
Amplitude Ratios ◽  
Critical Amplitude

Critical wetting in the square Ising model with a boundary field

1990 ◽  
Vol 61 (1-2) ◽  
pp. 161-178 ◽  
Author(s):  
E. V. Albano ◽  
K. Binder ◽  
D. W. Heermann ◽  
W. Paul
Keyword(s):  
Ising Model ◽  
Boundary Field ◽  
Critical Wetting

Structure of Liquid–Vapor Interfaces in the Ising Model

1997 ◽  
Vol 08 (03) ◽  
pp. 583-588 ◽  
Author(s):  
L. L. Moseley
Keyword(s):  
Computer Simulation ◽  
Asymptotic Behavior ◽  
Ising Model ◽  
Density Profile ◽  
Error Function ◽  
Higher Dimensions ◽  
Three Dimensions ◽  
Fluid Interface ◽  
Hyperbolic Tangent ◽  
Structure Of Liquid

The asymptotic behavior of the density profile of the fluid-fluid interface is investigated by computer simulation and is found to be better described by the error function than by the hyperbolic tangent in three dimensions. For higher dimensions the hyperbolic tangent is a better approximation.

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