A Monte Carlo method with different treatments for short‐ and long‐range interactions in conformational statistics of polypeptide chains

1988 ◽  
Vol 88 (5) ◽  
pp. 3385-3394 ◽  
Author(s):  
Samüel Premilat
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Long Range ◽  
Long Range Interactions ◽  
Conformational Statistics ◽  
Polypeptide Chains

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.

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