Monte Carlo calculation of the free energy of simple cubic lattice random walks

1989 ◽  
Vol 22 (9) ◽  
pp. 3698-3702
Author(s):  
Marc L. Mansfield ◽  
Karan P. Singh
Keyword(s):  
Monte Carlo ◽  
Free Energy ◽  
Random Walks ◽  
Monte Carlo Calculation ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Lattice Random Walks

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.

ALGORITHMS FOR MONTE CARLO SIMULATIONS OF THE ISING MODELS ON A SIMPLE CUBIC LATTICE

1993 ◽  
Vol 04 (03) ◽  
pp. 525-537 ◽  
Author(s):  
NAOKI KAWASHIMA ◽  
NOBUYASU ITO ◽  
YASUMASA KANADA
Keyword(s):  
Monte Carlo ◽  
Heat Bath ◽  
Monte Carlo Algorithm ◽  
Cubic Lattice ◽  
Ising Spin ◽  
Metropolis Method ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Special Cases ◽  
Glass Model

The vectorized Monte Carlo algorithm by multi-spin coding is extended to the ±J Ising spin glass model on a simple cubic lattice in a magnetic field. Explicit logical expression is given for this algorithm. In addition, shorter logical expressions are found in some special cases. They are given for the heat-bath method under the general condition and for the Metropolis method under the condition, H = 0.

A Monte Carlo method applied to the Heisenberg ferromagnet

1964 ◽  
Vol 60 (1) ◽  
pp. 115-122 ◽  
Author(s):  
D. C. Handscomb
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Order Parameters ◽  
Heisenberg Ferromagnet ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Conventional Methods

AbstractFollowing on from a previous paper (5), we apply the new Monte Carlo method described there to the estimation of order parameters of a simple Heisenberg ferromagnet. By way of illustration, we include some results on the simple cubic lattice, comparing them with results obtained by conventional methods.

Lower bound approximation to the free energy of an Ising model on a simple cubic lattice

1981 ◽  
Vol 59 (10) ◽  
pp. 1291-1295 ◽  
Author(s):  
Chin-Kun Hu ◽  
Wen-Den Chen ◽  
Yu-Ming Shih ◽  
Dong-Chung Jou ◽  
C. K. Pan ◽  
...  
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Lower Bound ◽  
Variational Method ◽  
Critical Point ◽  
Zero Field ◽  
Free Energies ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

We apply a modified Kadanoff's variational method to calculate the lower bound zero-field free energies and their derivatives for an Ising model on the simple cubic lattice. We find a critical point at Kc = 0.2393769 with precision ±10−7.

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