Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.5: Poster

Thursday, March 29, 2007, 16:00–18:00, Poster D

Voter model on lattices with a single antiferromagnetic bond — •Konstantin Klemm¹ and Takuya Yamano² — ¹Bioinformatics, Leipzig University, Haertelstr. 16-18, D-04107 Leipzig, Germany — ²International Christian University, Social Science Research Institute, 3-10-2, Osawa, Mitaka-shi, Tokyo, 181-8585, Japan

Among the simplest types of spin kinetics is the voter model: In each update a pair (i,j) of neighboring sites is chosen and site i adopts the state of site j. Here we consider a version of the model where one of the lattice bonds is antiferromagetic and thus transmits the reverse spin state. Due to the lack of absorbing configurations the dynamics is vastly different from the original model. The density of interfaces shows a bimodal distribution, i.e. the system spends most of the time in strongly ordered and strongly disordered configurations while the time for switching between the two situations is short. The time-averaged density of interfaces decays algebraically with distance from the lattice defect, with an exponent ≈ 1/3 in dimension d=2. These numerical observations are in sharp contrast to the results for the Ising model on the same kind of perturbed lattice.