Scaling and finte-size-scaling in the two dimensional random-coupling Ising ferromagnet

Details Scaling and finte-size-scaling in the two dimensional random-coupling Ising ferromagnet Scaling and finte-size-scaling in the two dimensional random-coupling Ising ferromagnet

1999-05-14

arxiv.org/abs/cond-mat/9905202v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4figuers

Scientific paper

10.1103/PhysRevB.61.1246

It is shown by Monte Carlo method that the finite size scaling (FSS) holds in the two dimensional random-coupled Ising ferromagnet. It is also demonstrated that the form of universal FSS function constructed via novel FSS scheme depends on the strength of the random coupling for strongly disordered cases. Monte Carlo measurements of thermodynamic (infinite volume limit) data of the correlation length ($\xi$) up to $\xi \simeq 200$ along with measurements of the fourth order cumulant ratio (Binder's ratio) at criticality are reported and analyzed in view of two competing scenarios. It is demonstrated that the data are almost exclusively consistent with the scenario of weak universality.

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