A simulation study of energy transport in the Hamiltonian XY-model

Abstract

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.

arXiv commentSubmitted to Journal of Statistical Mechanics: theory and experiment

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Cited by in corpus (9)

• Heat transport in low dimensions: introduction and phenomenology
• Anomalous kinetics and transport from 1D self--consistent mode--coupling theory
• Off-equilibrium Langevin dynamics of the discrete nonlinear Schroedinger chain
• Coupled transport in rotor models
• Multi-particle collision simulations of 2D one-component plasmas: anomalous transport and dimensional crossovers
• Normal heat conductivity in two-dimensional scalar lattices
• Machine learning of XY model on a spherical Fibonacci lattice
• Heat conduction in a three-dimensional momentum-conserving fluid
• Energy transfer mechanisms in a dipole chain: From energy equipartition to the formation of breathers