scholarly journals Monte Carlo Simulation of Spin Models with Long-Range Interactions

2000 ◽  
pp. 86-99
Author(s):  
E. Luijten
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Long Range ◽  
Spin Models ◽  
Long Range Interactions

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

MONTE CARLO METHOD FOR SPIN MODELS WITH LONG-RANGE INTERACTIONS

1995 ◽  
Vol 06 (03) ◽  
pp. 359-370 ◽  
Author(s):  
ERIK LUIJTEN ◽  
HENK W.J. BLÖTE
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Long Range ◽  
Amplitude Ratio ◽  
Mean Field ◽  
Finite Size ◽  
System Size ◽  
Spin Models ◽  
Dimensionless Amplitude ◽  
Long Range Interactions

We introduce a Monte Carlo method for the simulation of spin models with ferromagnetic long-range interactions in which the amount of time per spin-flip operation is independent of the system size, in spite of the fact that the interactions between each spin and all other spins are taken into account. We work out two algorithms for the q-state Potts model and discuss the generalization to systems with other interactions and to O (n) models. We illustrate the method with a simulation of the mean-field Ising model, for which we have also analytically calculated the leading finite-size correction to the dimensionless amplitude ratio <m2>2/<m4> at the critical temperature.

Sign in / Sign up

Export Citation Format

Share Document