6533b873fe1ef96bd12d572e
RESEARCH PRODUCT
Finite-size scaling and the crossover to mean-field critical behavior in the two-dimensional Ising model with medium-ranged interactions.
K. K. MonKurt Bindersubject
Mean field theoryCritical phenomenaMonte Carlo methodCrossoverIsing modelStatistical physicsCritical exponentPower lawScalingMathematicsdescription
Critical amplitudes in finite-size scaling relations show a singular dependence on the range of the interactions, R. The respective power laws are predicted from phenomenological crossover scaling considerations. These predictions are tested by Monte Carlo simulations for medium-ranged Ising square lattices. It is speculated that some deviations between the simulation results and corresponding predictions may be due to logarithmic corrections.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-10-01 | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |