{
  "id": "1712.07979",
  "version": "v1",
  "published": "2017-12-21T14:43:58.000Z",
  "updated": "2017-12-21T14:43:58.000Z",
  "title": "Heat transport in oscillator chains with long-range interactions coupled to thermal reservoirs",
  "authors": [
    "Stefano Iubini",
    "Pierfrancesco Di Cintio",
    "Stefano Lepri",
    "Roberto Livi",
    "Lapo Casetti"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate thermal conduction in arrays of long-range interacting rotors and Fermi-Pasta-Ulam (FPU) oscillators coupled to two reservoirs at different temperatures. The strength of the interaction between two lattice sites decays as a power $\\alpha$ of the inverse of their distance. We point out the necessity of distinguishing between energy flows towards/from the reservoirs and those within the system. We show that energy flow between the reservoirs occurs via a direct transfer induced by long-range couplings and a diffusive process through the chain. To this aim, we introduce a decomposition of the steady-state heat current that explicitly accounts for such direct transfer of energy between the reservoir. For $0\\leq \\alpha<1$, the direct transfer term dominates, meaning that the system can be effectively described as a set of oscillators each interacting with the thermal baths. Also, the heat current exchanged with the reservoirs depends on the size of the thermalised regions: in the case in which such size is proportional to the system size $N$, the stationary current is independent on $N$. For $\\alpha > 1$, heat transport mostly occurs through diffusion along the chain: for the rotors transport is normal, while for FPU the data are compatible with an anomalous diffusion, possibly with an $\\alpha$ -dependent characteristic exponent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-21T14:43:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat transport",
      "oscillator chains",
      "long-range interactions",
      "thermal reservoirs",
      "direct transfer term dominates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}