A simulation study of energy transport in the Hamiltonian XY model

Year: 2005

Authors: Delfini L., Lepri S., Livi R.

Autors Affiliation: CNR – Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze Italy;
CNR – Istituto dei Sistemi Complessi, Sez. Territoriale di Firenze, Largo E Fermi 6, 50125 Firenze, Italy;
Dipartimento di Fisica, Università di Firenze, and CSDC Firenze, via G Sansone 1 I-50019, Sesto Fiorentino, Italy;
Sezione INFN, Unità INFM Firenze, Italy

Abstract: The transport properties of the planar rotator model on a square lattice are analysed 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 instead limited by slow convergence that is presumably due to the slow kinetics of vortex pairs.

Journal/Review: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Volume: 2005      Pages from: P05006-1  to: P05006-13

KeyWords: transport processes; heat transfer (theory)
DOI: 10.1088/1742-5468/2005/05/P05006

Citations: 14
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