The eightfold way to dissipation

Dec 2, 2014
5 pages
Published in:
  • Phys.Rev.Lett. 114 (2015) 201601
  • Published: May 20, 2015
e-Print:
Report number:
  • DCPT-14-65

Citations per year

2014201720202023202402468101214
Abstract: (arXiv)
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, of 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).
Note:
  • 5 pages, 1 figure. v2: minor clarifications. v3: minor changes. title in published version differs
  • expansion: gradient
  • dissipation
  • hydrodynamics
  • adiabatic
  • thermodynamics
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