Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-01-17
Phys. Lett. A 373 (2009) 992
Physics
Condensed Matter
Statistical Mechanics
to appear in Phys. Lett. A
Scientific paper
10.1016/j.physleta.2009.01.025
Starting from relativistic quantum field theories, Kovtun et al. (2005) have quite recently proposed a lower bound eta/s >= hbar /(4 pi kB), where eta is the shear viscosity and s the volume density of entropy for dense liquids. If their proposal can eventually be proved, then this would provide key theoretical underpinning to earlier semiempirical proposals on the relation between a transport coefficient eta and a thermodynamic quantity s. Here, we examine largely experimental data on some dense liquids, the insulators nitrogen, water, and ammonia, plus the alkali metals, where the shear viscosity eta(T) for the four heaviest alkalis is known to scale onto an `almost universal' curve, following the work of Tankeshwar and March a decade ago. So far, all known results for both insulating and metallic dense liquids correctly exceed the lower bound prediction of Kovtun et al.
Angilella Giuseppe G. N.
March Norman H.
Pellegrino F. M. D.
Pucci Renato
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