From Thermodynamics to the Bound on Viscosity

Details From Thermodynamics to the Bound on Viscosity From Thermodynamics to the Bound on Viscosity

2009-07-07

arxiv.org/abs/0907.1144v1

Nucl.Phys.B819:177-182,2009

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

10.1016/j.nuclphysb.2009.04.008

We show that the generalized second law of thermodynamics may shed much light on the mysterious Kovtun-Son-Starinets (KSS) bound on the ratio of viscosity to entropy density. In particular, we obtain the lower bound $\eta/s +O(\eta^3/s^3)\geq 1/4\pi$. Furthermore, for conformal field theories we obtain a new fundamental bound on the value of the relaxation coefficient $\tau_{\pi}$ of causal hydrodynamics, which has been the focus of much recent attention: $(\tau_{\pi}T)^2\geq {{(\sqrt{3}-1)}/{2\pi^2}}$.

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