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Manuscript Title: Swendsen-Wang dynamics for Potts model on a dynamically triangulated random surface.
Authors: Z. Burda, J. Jurkiewicz, L. Karkkainen
Program title: LOOPS
Catalogue identifier: ACHS_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 70(1992)510
Programming language: Fortran.
Computer: DEC-STATION 5000.
Operating system: ULTRIX.
RAM: 400K words
Peripherals: disc.
Keywords: Statistical physics, Thermodynamics, Random surfaces, Dynamical triangulation, Potts(ising) model, Cluster and loop update, Dual lattice.
Classification: 23.

Nature of problem:
The potts model on dynamically triangulated random surfaces as a regularization of a quantum model of unitary matter coupled to two- dimensional gravity.

Solution method:
The program uses a standard dynamical Monte-Carlo scheme to produce configurations distributed according to the Gibbs measure of the Potts model. To update the domain-walls of a Potts configuration as well as the lattice geometry the algorithm uses in turns the Swendsen-Wang dynamics and a certain number of local flip operations governed by the Metropolis probability. For triangulations with a fixed number of points, values of the action are measured and put into a file for further analysis.

Running time:
The time required for a trial flip and a Swendsen-Wang update calculated per link on the lattice is 19 mu seconds.