Existence of a Phase Transition in Two-Dimensional and Three-Dimensional Ising Models

1965 ◽  
Vol 10 (2) ◽  
pp. 193-213 ◽  
Author(s):  
R. L. Dobrushin
Keyword(s):  
Phase Transition ◽  
Three Dimensional ◽  
Ising Models ◽  
Two Dimensional

scholarly journals MONTE-CARLO CALCULATIONS OF PHASE TRANSITION TEMPERATURE IN THE ISING MODEL WITH LONG RANGE INTERACTIONS

2017 ◽  
Vol 21 (6) ◽  
pp. 161-170
Author(s):  
A.A. Biryukov ◽  
Y.V. Degtyarova
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Transition Temperature ◽  
Long Range ◽  
Phase Transition Temperature ◽  
Three Dimensional ◽  
Ising Models ◽  
Monte Carlo Calculations ◽  
Spin Interactions ◽  
Long Range Interactions

The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.

The temperature and frequency dependence of the inelastic neutron scattering from an Ising magnet

1968 ◽  
Vol 46 (7) ◽  
pp. 799-802 ◽  
Author(s):  
G. A. T. Allan ◽  
D. D. Betts
Keyword(s):  
Inelastic Scattering ◽  
Inelastic Neutron Scattering ◽  
Three Dimensional ◽  
Ising Models ◽  
Inelastic Neutron ◽  
Square Lattice ◽  
Two Dimensional ◽  
Scattering Function ◽  
Ising Magnet ◽  
Exact Energy

The magnetic inelastic scattering of neutrons from a spin-[Formula: see text] Ising system is considered. For the two-dimensional plane square lattice, the exact energy distribution of the scattering is obtained at all temperatures. It consists of a number of discrete levels, the envelope of which varies most markedly in the critical region. Some qualitative projections are also made concerning three-dimensional systems. For both two- and three-dimensional Ising models there can be no wave-vector dependence of the inelastic scattering function because there is correlation only between z components of the spins on different sites.

Temperature-dependent studies of a new two-dimensional cadmium dicyanamide framework exhibiting an unusual temperature-induced irreversible phase transition into a three-dimensional perovskite-like framework

2018 ◽  
Vol 20 (47) ◽  
pp. 29951-29958 ◽  
Author(s):  
Mirosław Mączka ◽  
Anna Gągor ◽  
Maciej Ptak ◽  
Dagmara Stefańska ◽  
Adam Sieradzki
Keyword(s):  
Phase Transition ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Temperature Dependent

TPrACd can be grown in both layered and perovskite-like architectures. The layered polymorph transforms irreversibly to the perovskite one at 389 K.

FIELD INDUCED PHASE TRANSITION FOR SUSPENSION OF MONOSIZED SPHERES

2002 ◽  
Vol 16 (17n18) ◽  
pp. 2357-2363 ◽  
Author(s):  
S. MEN ◽  
A. MEUNIER ◽  
C. MÉTAYER ◽  
G. BOSSIS
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Horizontal Plane ◽  
Constant Pressure ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Ewald Summation ◽  
Dipolar System ◽  
Rotating Field

We have developed a new Ewald summation for a three-dimensional dipolar system with two-dimensional periodicity in a uniaxial field and a rotating field in a horizontal plane. Under a constant pressure and temperature, Monte Carlo simulation has been carried out; phase transitions are found and chainlike structure for a uniaxial field and monolayer or multilayer for rotating field are obtained, which are well consistent with experiments.

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