Multicanonical Multigrid Monte Carlo

Details Multicanonical Multigrid Monte Carlo Multicanonical Multigrid Monte Carlo

1993-05-20

arxiv.org/abs/hep-lat/9305016v1

Phys.Rev.E49:3475-3479,1994

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages LaTex, 1 PS figure appended. FU-Berlin preprint FUB-HEP 9/93

Scientific paper

10.1103/PhysRevE.49.3475

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 $\Phi^4$ 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 resp. of about one order of magnitude.

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