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Thermal Conductivity for a Momentum Conserving Model | | Giada Basile
; Cedric Bernardin
; Stefano Olla
; cond-mat/0509688
; PostScript
; PDF
; Other formats
; | | Date: |
24 Jan 2006 | | Subject: | Statistical Mechanics; Probability | | Abstract: | We present here complete mathematical proofs of the results annouced in cond-mat/0509688. We introduce a model whose thermal conductivity diverges in dimension 1 and 2, while it remains finite in dimension 3. We consider a system of harmonic oscillators perturbed by a stochastic dynamics conserving momentum and energy. We compute the current-current time correlation function and the thermal conductivity via Green-Kubo formula. We prove that the current-current time correlation function decay like $t^{-d/2}$ in the unpinned case and like $t^{-d/2-1}$ if a on-site harmonic potential is present. | | Source: | arXiv, cond-mat/0601544 | | Services: | Forum | Review | PDF | Favorites | |
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