Multicanonical Multigrid Monte Carlo

Abstract

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.

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