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Updated: Apr 11, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Eightfold Classification of Hydrodynamic Dissipation
Felix M Haehl1, R Loganayagam2, Mukund Rangamani1
1Centre for Particle Theory and Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom.
Abstract:
We provide a complete characterization of hydrodynamic transport consistent with the second law of thermodynamics at arbitrary orders in the gradient expansion. A key ingredient in facilitating this analysis is the notion of adiabatic hydrodynamics, which enables isolation of the genuinely dissipative parts of transport. We demonstrate that most transport is adiabatic. Furthermore, in the dissipative part, only terms at the leading order in gradient expansion are constrained to be sign definite by the second law (as has been derived before).
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