Publication Date:
2012-10-20
Description:
We study the thermal properties of a pinned disordered harmonic chain weakly perturbed by a noise and an anharmonic potential. The noise is controlled by a parameter l ® 0 , and the anharmonicity by a parameter l ¢ £ l . Let k be the conductivity of the chain, defined through the Green–Kubo formula. Under suitable hypotheses, we show that k = O ( l ) and, in the absence of anharmonic potential, that k ~ l . This is in sharp contrast with the ordered chain for which k ~ 1/ l , and so shows the persistence of localization effects for a non-integrable dynamics. Content Type Journal Article Pages 1-31 DOI 10.1007/s00440-012-0458-8 Authors Cédric Bernardin, Université de Lyon and CNRS, UMPA, UMR-CNRS 5669, ENS-Lyon, 46, allée d’Italie, 69364 Lyon Cedex 07, France François Huveneers, CEREMADE, Université de Paris-Dauphine, Place du Maréchal De Lattre De Tassigny, 75775 Paris Cedex 16, France Journal Probability Theory and Related Fields Online ISSN 1432-2064 Print ISSN 0178-8051
Print ISSN:
0178-8051
Electronic ISSN:
1432-2064
Topics:
Mathematics
