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dc.contributor.authorRoy, Dibyendueng
dc.contributor.authorVignale, Giovanni, 1957-eng
dc.contributor.authorDi Ventra, Massimilianoeng
dc.date.issued2011eng
dc.descriptionhttp://arxiv.org/PS_cache/arxiv/pdf/1010/1010.2959v2.pdfeng
dc.description.abstractIt is well known that the viscosity of a homogeneous electron liquid diverges in the limits of zero frequency and zero temperature. A nanojunction breaks translational invariance and necessarily cuts off this divergence. However, the estimate of the ensuing viscosity is far from trivial. Here, we propose an approach based on a Kramers-Kr\"onig dispersion relation, which connects the zero- frequency viscosity, $\eta(0)$, to the high-frequency shear modulus, $\mu_{\infty}$, of the electron liquid via $\eta(0) =\mu_{\infty} \tau$, with $\tau$ the junction-specific momentum relaxation time. By making use of a simple formula derived from time-dependent current-density functional theory we then estimate the many-body contributions to the resistance for an integrable junction potential and find that these viscous effects may be much larger than previously suggested for junctions of low conductance.eng
dc.description.sponsorshipDR and MD acknowledge support from the DOE grant DE-FG02-05ER46204 and UC Laboratories, GV from DOE under Grant No. DE-FG02-05ER46203.eng
dc.identifier.citationarXiv:1010.2959v2eng
dc.identifier.urihttp://hdl.handle.net/10355/9989eng
dc.languageEnglisheng
dc.publisherarXiveng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publicationseng
dc.subject.lcshCondensed mattereng
dc.subject.lcshNanoscienceeng
dc.subject.lcshElectron configurationeng
dc.subject.lcshFluid dynamicseng
dc.titleViscous corrections to the resistance of nano-junctions: a dispersion relation approacheng
dc.typeArticleeng


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