Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Free expansion and rotation

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.063629· OSTI ID:21528952

Schaefer, T ^[1]

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1. Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 (United States)

We investigate the expansion dynamics of a dilute Fermi gas at unitarity in the context of dissipative fluid dynamics. Our aim is to quantify the effects of shear viscosity on the time evolution of the system. We compare exact numerical solutions of the equations of viscous hydrodynamics to various approximations that have been proposed in the literature. Our main findings are (i) shear viscosity leads to characteristic features in the expansion dynamics; (ii) a quantitative description of these effects has to include reheating; (iii) dissipative effects are not sensitive to the equation of state P(n,T) as long as the universal relation P=(2/3)E is satisfied; (iv) the expansion dynamics mainly constrains the cloud average of the shear viscosity.

• OSTI ID: 21528952
• Journal Information: Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.063629; (c) 2010 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
42 ENGINEERING
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
EQUATIONS OF STATE
FERMI GAS
FLUID MECHANICS
HYDRODYNAMICS
MATHEMATICAL EVOLUTION
NUMERICAL SOLUTION
UNITARITY
VISCOSITY
CALCULATION METHODS
EQUATIONS
EVOLUTION
MATHEMATICAL SOLUTIONS
MECHANICS