6533b829fe1ef96bd128a415
RESEARCH PRODUCT
Multicanonical multigrid Monte Carlo method.
Wolfhard JankeTilman Sauersubject
PhysicsPhase transitionMultigrid methodCritical phenomenaMonte Carlo methodLattice field theoryWang and Landau algorithmLimit (mathematics)Continuum (set theory)Statistical physicsdescription
To further improve the performance of Monte Carlo simulations of first-order phase transitions we propose to combine the multicanonical approach with multigrid techniques. We report tests of this proposition for the d-dimensional ${\mathrm{\ensuremath{\Phi}}}^{4}$ field theory in two different situations. First, we study quantum tunneling for d=1 in the continuum limit, and second, we investigate first-order phase transitions for d=2 in the infinite volume limit. Compared with standard multicanonical simulations we obtain improvement factors of several, and of about one order of magnitude, respectively.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-04-01 | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |