6533b828fe1ef96bd128851b
RESEARCH PRODUCT
Monte-Carlo Study of Pure-Phase Cumulants of 2D q-State Potts Models
Stefan KapplerWolfhard Jankesubject
PhysicsComputer simulationHigh Energy Physics - Lattice (hep-lat)Monte Carlo methodGeneral EngineeringPhase (waves)FOS: Physical sciencesStatistical and Nonlinear PhysicsState (functional analysis)MagnetizationHigh Energy Physics - LatticeTransition pointStatistical physicsCumulantPotts modeldescription
We performed Monte Carlo simulations of the two-dimensional q-state Potts model with q=10, 15, and 20 to study the energy and magnetization cumulants in the ordered and disordered phase at the first-order transition point $\beta_t$. By using very large systems of size 300 x 300, 120 x 120, and 80 x 80 for q=10, 15, and 20, respectively, our numerical estimates provide practically (up to unavoidable, but very small statistical errors) exact results which can serve as a useful test of recent resummed large-q expansions for the energy cumulants by Bhattacharya `et al.' [J. Phys. I (France) 7 (1997) 81]. Up to the third order cumulant and down to q=10 we obtain very good agreement, and also the higher-order estimates are found to be compatible.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-01-23 | Journal de Physique I |