Phase transition in the generalized Fibonacci quantum Ising models

1990 ◽  
Vol 41 (13) ◽  
pp. 9578-9580 ◽  
Author(s):  
V. G. Benza ◽  
M. Kolá ◽  
M. K. Ali
Keyword(s):  
Phase Transition ◽  
Ising Models

FLUCTUATION EFFECTS IN A CLASS OF SYSTEMS WITH TWO ORDER PARAMETERS

1993 ◽  
Vol 07 (27) ◽  
pp. 1725-1731 ◽  
Author(s):  
L. DE CESARE ◽  
I. RABUFFO ◽  
D.I. UZUNOV
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Phase Transitions ◽  
Order Phase Transition ◽  
Mean Field ◽  
Ising Models ◽  
Order Parameters ◽  
The Mean ◽  
Fluctuation Effects ◽  
Second Order Phase Transition

The phase transitions described by coupled spin -1/2 Ising models are investigated with the help of the mean field and the renormalization group theories. Results for the type of possible phase transitions and their fluctuation properties are presented. A fluctuation-induced second-order phase transition is predicted.

3-D SPIN GLASSES AND ISING MODELS NEW METHODS ON NEW ARCHITECTURES

1993 ◽  
Vol 04 (01) ◽  
pp. 217-221
Author(s):  
GYAN BHANOT
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Ising Model ◽  
Thermodynamic Limit ◽  
Spin Glasses ◽  
Weak Coupling ◽  
Ising Models ◽  
Parallel Architectures ◽  
Strong Indication ◽  
New Methods

I describe work on 3-d Spin Glasses and the 3-d Ising Model done in collaboration with Michael Creutz at BNL and Jan Lacki at IAS Princeton. We have developed novel techniques to study these systems that make use of parallel architectures. For 3-d spin glasses, our results give strong indication that there is no phase transition in the thermodynamic limit whereas for the Ising model, we are able to extend the weak coupling expansion of the average free energy to 50 excited bonds.

scholarly journals PHASE TRANSITION OF THE DISSIPATIVE DOUBLE-WELL QUANTUM MECHANICS

2012 ◽  
Vol 26 (30) ◽  
pp. 1250202 ◽  
Author(s):  
KEN-ICHI AOKI ◽  
TAMAO KOBAYASHI
Keyword(s):  
Phase Transition ◽  
Quantum Mechanics ◽  
Renormalization Group ◽  
Ising Model ◽  
Long Range ◽  
Ising Models ◽  
Model Parameters ◽  
Finite Range ◽  
Scaling Method ◽  
State Approximation

We investigate the critical dissipation of the double-well quantum mechanics. We adopt two-state approximation to define effective Ising models and apply the block decimation renormalization group and the finite range scaling method recently proposed for the long range Ising model. We briefly report the numerical results of the critical dissipation for various model parameters.

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.

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