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/P05006Citations: 13data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-04-28References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here