##### URI
http://hdl.handle.net/10355/9989
 dc.contributor.author Roy, Dibyendu eng dc.contributor.author Vignale, Giovanni, 1957- eng dc.contributor.author Di Ventra, Massimiliano eng dc.date.issued 2011 eng dc.description http://arxiv.org/PS_cache/arxiv/pdf/1010/1010.2959v2.pdf eng dc.description.abstract It 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.sponsorship DR and MD acknowledge support from the DOE grant eng DE-FG02-05ER46204 and UC Laboratories, GV from DOE under Grant No. DE-FG02-05ER46203. dc.identifier.citation arXiv:1010.2959v2 eng dc.identifier.uri http://hdl.handle.net/10355/9989 eng dc.language English eng dc.publisher arXiv eng dc.relation.ispartofcollection University of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publications eng dc.subject.lcsh Condensed matter eng dc.subject.lcsh Nanoscience eng dc.subject.lcsh Electron configuration eng dc.subject.lcsh Fluid dynamics eng dc.title Viscous corrections to the resistance of nano-junctions: a dispersion relation approach eng dc.type Article eng
﻿