Monte Carlo Study of One-Dimensional Ising Models with Long-Range Interactions

2009 ◽  
Vol 78 (1) ◽  
pp. 014002 ◽  
Author(s):  
Yusuke Tomita
Keyword(s):  
Monte Carlo ◽  
Long Range ◽  
Monte Carlo Study ◽  
Ising Models ◽  
One Dimensional ◽  
Long Range Interactions

Monte Carlo Study of Long-Range Interactions of a Ferroelectric Bilayer with Antiferroelectric Interfacial Coupling

2013 ◽  
Vol 26 (10) ◽  
pp. 3075-3083 ◽  
Author(s):  
Y. Benhouria ◽  
I. Essaoudi ◽  
A. Ainane ◽  
M. Saber ◽  
R. Ahuja ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Long Range ◽  
Monte Carlo Study ◽  
Interfacial Coupling ◽  
Long Range Interactions

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.

scholarly journals Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo study

2012 ◽  
Vol 14 (11) ◽  
pp. 113006 ◽  
Author(s):  
Michał Maik ◽  
Philipp Hauke ◽  
Omjyoti Dutta ◽  
Jakub Zakrzewski ◽  
Maciej Lewenstein
Keyword(s):  
Monte Carlo ◽  
Long Range ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Quantum Spin ◽  
Spin Models ◽  
Long Range Interactions ◽  
Quantum Spin Models

One-Dimensional Ising Models with Long Range Interactions: Cluster Expansion, Phase-Separating Point

2014 ◽  
Vol 327 (3) ◽  
pp. 951-991 ◽  
Author(s):  
Marzio Cassandro ◽  
Immacolata Merola ◽  
Pierre Picco ◽  
Utkir Rozikov
Keyword(s):  
Long Range ◽  
Cluster Expansion ◽  
Ising Models ◽  
Expansion Phase ◽  
One Dimensional ◽  
Long Range Interactions
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