Monte Carlo renormalization-group study of domain growth in the Potts model on a triangular lattice | Zendy

Christopher Roland | Zendy; Martin Grant | Zendy

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Monte Carlo renormalization-group study of domain growth in the Potts model on a triangular lattice

Author(s) -

Christopher Roland,

Martin Grant

Publication year - 1990

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.41.4663

Subject(s) - potts model , monte carlo method , renormalization group , physics , statistical physics , scaling , hexagonal lattice , lattice (music) , renormalization , lattice model (finance) , spin model , condensed matter physics , ising model , mathematical physics , mathematics , statistics , geometry , antiferromagnetism , acoustics

The kinetics of domain growth for a q=8 state Potts model on a triangular lattice is studied using the Monte Carlo renormalization-group technique. A block-spin transformation is applied to the evolving configurations of a two-dimensional Potts model with nonconserved order parameter. The growth law for the average size of domains is consistent with curvature-driven growth. A scaling form for the structure factor is obtained and compared to theory. The edge distribution function for the growth kinetics is also studied

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