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2 - Modern Theory of Fluid Dynamics

Published online by Cambridge University Press:  29 April 2019

Paul Romatschke
Affiliation:
University of Colorado Boulder
Ulrike Romatschke
Affiliation:
National Center for Atmospheric Research, Boulder, Colorado
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Summary

The second chapter gives a derivation of out-of-equilibrium fluid dynamics from first principles, based on the framework of effective field theory. Main results such as the Euler equations, Navier-Stokes equations, BRSSS equations are recovered and the divergence of the hydrodynamic gradient expansion is discussed. Novel features such as the Borel summability of the divergent series, hydrodynamic attractors, the role of nonhydrodynamic modes and far-from-equilibrium hydrodynamics are described. The chapter closes by a modern derivation of fluid dynamics in the presence of thermal fluctuations.

Type
Chapter
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Relativistic Fluid Dynamics In and Out of Equilibrium
And Applications to Relativistic Nuclear Collisions
, pp. 8 - 58
Publisher: Cambridge University Press
Print publication year: 2019

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