The bound on viscosity and the generalized second law of thermodynamics

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dc.creatorFouxon, Itzhak
dc.creatorBetschart, Gerold
dc.creatorBekenstein, Jacob D.
dc.date2007-10-07
dc.date2008-01-15
dc.date.accessioned2026-07-07T11:19:49Z
dc.date.available2026-07-07T11:19:49Z
dc.descriptionWe describe a new paradox for ideal fluids. It arises in the accretion of an \textit{ideal} fluid onto a black hole, where, under suitable boundary conditions, the flow can violate the generalized second law of thermodynamics. The paradox indicates that there is in fact a lower bound to the correlation length of any \textit{real} fluid, the value of which is determined by the thermodynamic properties of that fluid. We observe that the universal bound on entropy, itself suggested by the generalized second law, puts a lower bound on the correlation length of any fluid in terms of its specific entropy. With the help of a new, efficient estimate for the viscosity of liquids, we argue that this also means that viscosity is bounded from below in a way reminiscent of the conjectured Kovtun-Son-Starinets lower bound on the ratio of viscosity to entropy density. We conclude that much light may be shed on the Kovtun-Son-Starinets bound by suitable arguments based on the generalized second law.
dc.description11 pages, 1 figure, published version
dc.identifierhttps://arxiv.org/abs/0710.1429
dc.identifierhttp://arxiv.org/abs/0710.1429
dc.identifierPhys.Rev.D77:024016,2008
dc.identifierdoi:10.1103/PhysRevD.77.024016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193817
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectFluid Dynamics
dc.titleThe bound on viscosity and the generalized second law of thermodynamics
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