Coefficients of the second viscosity in bulk liquid helium

Um, Chung-In; Jun, Chul-Won; George, Thomas F.

doi:10.1103/physrevb.46.5746

Cited by 2 publications

(1 citation statement)

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“…The bulk-viscosity coefficients ζ 1 , ζ 2 and ζ 3 have been explicitly computed for several different fluids [12,55,61]. On the other hand, equations (155) are an "Extended-Irreversible-Thermodynamic modification" [62] to the corresponding"Navier-Stokes-type"constitutive relations [31]: as always happens when one moves from Navier-Stokes to UEIT, a new relaxation time τ A appears, which is necessary for making the theory causal [57].…”

Section: Statistical Mechanics Of the Quasi-particles: Bulk Viscositymentioning

confidence: 99%

Extending Israel and Stewart hydrodynamics to relativistic superfluids via Carter's multifluid approach

Gavassino,

Antonelli,

Haskell

2021

Preprint

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We construct a relativistic model for bulk viscosity and heat conduction in a superfluid. Building on the principles of Unified Extended Irreversible Thermodynamics, the model is derived from Carter's multifluid approach for a theory with three currents, where the quasi-particle current is an independent hydrodynamic degree of freedom. For small deviations from local thermodynamic equilibrium, the model reduces to an extension of the Israel-Stewart theory to superfluid systems. It can, therefore, be made hyperbolic, causal and stable if the microscopic input is accurate. The non-dissipative limit of the model is the relativistic two-fluid model of Carter, Khalatnikov and Gusakov. The Newtonian limit of the model is an Extended-Irreversible-Thermodynamic extension of Landau's two-fluid model. The model predicts the existence of four bulk viscosity coefficients and accounts for their microscopic origin, providing their exact formulas in terms of the quasi-particle creation rate. Furthermore, when fast oscillations of small amplitude around the equilibrium are considered, the relaxation-time term in the telegraph-type equations for the bulk viscosities accounts directly for their expected dependence on the frequency.

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