η/s of the Normal Phase of Unitary Fermi Gas from ε Expansion

2012/06/01 by Andrei Kryjevski, Kryjevski, Andrei
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Gases (cond-mat.quant-gas) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1206.0059

openalex publication_date 2012/06/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

Using ε-expansion technique we compute η/s, where η is the shear viscosity, s is the entropy density, of the normal phase of unitary Fermi gas in d=4-ε dimensions to LO in ε. We use kinetic theory approach and solve transport equations for medium perturbed by a shear hydrodynamic flow. The collision integrals are calculated to ε² which is LO. The LO result is temperature independent with η/\rm s≃ (0.11/ε²)(ℏ/k_B). The d=3 prediction for η/\rm s exceeds the ℏ/4 πk_B bound by a factor of about 1.4.

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