6533b834fe1ef96bd129d8bc
RESEARCH PRODUCT
Multibondic cluster algorithm for Monte Carlo simulations of first-order phase transitions.
Wolfhard JankeStefan Kapplersubject
PhysicsPhase transitionNumerical analysisHigh Energy Physics::LatticeMonte Carlo methodHigh Energy Physics - Lattice (hep-lat)Condensed Matter (cond-mat)General Physics and AstronomyFOS: Physical sciencesCondensed MatterApproxRandom walkHigh Energy Physics - LatticeLattice gauge theoryCluster (physics)ExponentStatistical physicsdescription
Inspired by the multicanonical approach to simulations of first-order phase transitions we propose for $q$-state Potts models a combination of cluster updates with reweighting of the bond configurations in the Fortuin-Kastelein-Swendsen-Wang representation of this model. Numerical tests for the two-dimensional models with $q=7, 10$ and $20$ show that the autocorrelation times of this algorithm grow with the system size $V$ as $\tau \propto V^\alpha$, where the exponent takes the optimal random walk value of $\alpha \approx 1$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-01-09 | Physical review letters |