Open AccessMONTE-CARLO CALCULATIONS OF PHASE TRANSITION TEMPERATURE IN THE ISING MODEL WITH LONG RANGE INTERACTIONS
Author(s) -
A. A. Biryukov,
Yana V Degtyarova
Publication year - 2015
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2015-21-6-161-170
Subject(s) - monte carlo method , spins , ising model , statistical physics , phase transition , range (aeronautics) , physics , condensed matter physics , ising spin , spin (aerodynamics) , phase (matter) , monte carlo method in statistical physics , hybrid monte carlo , materials science , thermodynamics , mathematics , markov chain monte carlo , quantum mechanics , statistics , composite material
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.