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

Source: [A simulation study of energy transport in the Hamiltonian XY-model](<https://www.sota2.com/research/paper/68fa26e72c2a3760193be639>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:41:31.680Z

Authors: Luca Delfini, Stefano Lepri, Roberto Livi

Published: 2005-05-11T10:37:34.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0505279>)

[PDF](<https://arxiv.org/pdf/cond-mat/0505279.pdf>)