title: Harmonic measure for critical Potts clusters.
abstract: We present a technique, which we call "etching," which we use to study the harmonic measure of Fortuin-Kasteleyn clusters in the Q-state Potts model for Q=1-4 . The harmonic measure is the probability distribution of random walkers diffusing onto the perimeter of a cluster. We use etching to study regions of clusters which are extremely unlikely to be hit by random walkers, having hitting probabilities down to 10-4600. We find good agreement between the theoretical predictions of Duplantier and our numerical results for the generalized dimension D(q) including regions of small and negative q .
authors.affiliation: Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA.
authors.forename: D A
authors.initials: DA
authors.lastname: Adams
authors.forename: Yen Ting
authors.initials: YT
authors.lastname: Lin
authors.forename: L M
authors.initials: LM
authors.lastname: Sander
authors.forename: R M
authors.initials: RM
authors.lastname: Ziff