Ising-Model Reformulation. II. Relation to the Random-External-Field Method

1965 ◽  
Vol 138 (4A) ◽  
pp. A1174-A1181 ◽  
Author(s):  
Frank H. Stillinger
Keyword(s):  
Ising Model ◽  
External Field ◽  
Field Method ◽  
Model Reformulation ◽  
Random External Field

On the mean-field Ising model in a random external field

1985 ◽  
Vol 41 (1-2) ◽  
pp. 299-313 ◽  
Author(s):  
S. R. Salinas ◽  
W. F. Wreszinski
Keyword(s):  
Ising Model ◽  
External Field ◽  
Mean Field ◽  
The Mean ◽  
Random External Field

Ground states for the ising model with an external field on the Cayley tree

2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova
Keyword(s):  
Ising Model ◽  
External Field ◽  
Cayley Tree ◽  
Ground States

THE APPROACH TO PARAMAGNETIC SATURATION

1962 ◽  
Vol 40 (12) ◽  
pp. 1693-1702 ◽  
Author(s):  
Richard Stevenson
Keyword(s):  
External Field ◽  
Magnetic Moment ◽  
Short Range ◽  
Short Range Order ◽  
Field Method ◽  
Order Parameters ◽  
Range Order ◽  
Molecular Field ◽  
Paramagnetic Materials ◽  
High Fields

The process of paramagnetic saturation in real substances is considered by means of the molecular field method and by Smart's elaboration of the Oguchi method. The magnetic moment and short-range order parameters are calculated as a function of the external field. Some qualitative rules are obtained which describe general tendencies toward saturation. The possibility arises that paramagnetic materials in high fields may change into a state of greater stability by altering their exchange couplings.

TWO-DIMENSIONAL WANG–LANDAU SAMPLING OF AN ASYMMETRIC ISING MODEL

2009 ◽  
Vol 20 (09) ◽  
pp. 1357-1366 ◽  
Author(s):  
SHAN-HO TSAI ◽  
FUGAO WANG ◽  
D. P. LANDAU
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
External Field ◽  
Density Of States ◽  
Triangular Lattice ◽  
Sampling Method ◽  
Two Dimensional ◽  
Theoretical Predictions ◽  
The Spectator ◽  
Three Body

We study the critical endpoint behavior of an asymmetric Ising model with two- and three-body interactions on a triangular lattice, in the presence of an external field. We use a two-dimensional Wang–Landau sampling method to determine the density of states for this model. An accurate density of states allowed us to map out the phase diagram accurately and observe a clear divergence of the curvature of the spectator phase boundary and of the derivative of the magnetization coexistence diameter near the critical endpoint, in agreement with previous theoretical predictions.

Ising model in an external field on a hierarchical lattice

1994 ◽  
Vol 75 (5-6) ◽  
pp. 1119-1135 ◽  
Author(s):  
F. T. Lee ◽  
M. C. Huang
Keyword(s):  
Ising Model ◽  
External Field ◽  
Hierarchical Lattice

scholarly journals 3D ISING NONUNIVERSALITY: A MONTE CARLO STUDY

2005 ◽  
Vol 16 (08) ◽  
pp. 1217-1224 ◽  
Author(s):  
MELANIE SCHULTE ◽  
CAROLINE DROPE
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
External Field ◽  
Nearest Neighbor ◽  
Monte Carlo Study ◽  
Universality Class ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Binder Cumulant

We investigate as a member of the Ising universality class the Next-Nearest Neighbor Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility ratio, which should be universal quantities at the critical point, were shown to vary for small negative next-nearest neighbor interactions.

Phase diagram of an imprinted copolymer in a random external field

1995 ◽  
Vol 28 (13) ◽  
pp. 3657-3666 ◽  
Author(s):  
V S Pande ◽  
A Yu Grosberg ◽  
T Tanaka
Keyword(s):  
Phase Diagram ◽  
External Field ◽  
Random External Field
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