A stochastic model of anomalous heat transport: analytical solution of the steady state (Articolo in rivista)

Type
Label
  • A stochastic model of anomalous heat transport: analytical solution of the steady state (Articolo in rivista) (literal)
Anno
  • 2009-01-01T00:00:00+01:00 (literal)
Alternative label
  • Lepri S.; Mejía-Monasterio C.; Politi A. (2009)
    A stochastic model of anomalous heat transport: analytical solution of the steady state
    in Journal of physics. A, Mathematical and theoretical (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Lepri S.; Mejía-Monasterio C.; Politi A. (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy (literal)
Titolo
  • A stochastic model of anomalous heat transport: analytical solution of the steady state (literal)
Abstract
  • We consider a one-dimensional harmonic crystal with conservative noise, in contact with two stochastic Langevin heat baths at different temperatures. The noise term consists of collisions between neighbouring oscillators that exchange their momenta, with a rate $\gamma$. The stationary equations for the covariance matrix are exactly solved in the thermodynamic limit ($N\to\infty$). In particular, we derive an analytical expression for the temperature profile, which turns out to be independent of $\gamma$. Moreover, we obtain an exact expression for the leading term of the energy current, which scales as /\sqrt{\gamma N}$. Our theoretical results are finally found to be consistent with the numerical solutions of the covariance matrix for finite $N$ (literal)
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