Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-05-11
Physics
Condensed Matter
Statistical Mechanics
Submitted to Journal of Statistical Mechanics: theory and experiment
Scientific paper
10.1088/1742-5468/2005/05/P05006
The transport properties of the planar rotator model on a square lattice are analyzed by means of microcanonical and non--equilibrium simulations. Well below the Kosterlitz--Thouless--Berezinskii transition temperature, both approaches consistently indicate that the energy current autocorrelation displays a long--time tail decaying as t^{-1}. This yields a thermal conductivity coefficient which diverges logarithmically with the lattice size. Conversely, conductivity is found to be finite in the high--temperature disordered phase. Simulations close to the transition temperature are insted limited by slow convergence that is presumably due to the slow kinetics of vortex pairs.
Delfini Luca
Lepri Stefano
Livi Roberto
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