6533b823fe1ef96bd127eca6

RESEARCH PRODUCT

Application of the Monte Carlo coherent-anomaly method to two-dimensional lattice-gas systems with further-neighbor interactions

P. BorowskiAndrzej Patrykiejew

subject

PhysicsCritical point (thermodynamics)Monte Carlo methodDynamic Monte Carlo methodIsing modelMonte Carlo method in statistical physicsStatistical physicsCritical exponentSquare latticeMonte Carlo molecular modeling

description

A Monte Carlo version of the coherent-anomaly method has been used to determine critical properties of a two-dimensional Ising ferromagnet with nearest- and next-nearest-neighbor interactions and of a series of two-dimensional lattice-gas systems of particles interacting via 6-12 Lennard-Jones potential. It has demonstrated that the method leads to quite accurate determination of critical temperature but is less successful when used to determine the values of critical exponents \ensuremath{\gamma} and \ensuremath{\nu}.

https://doi.org/10.1103/physrevb.42.4670