ЖЭТФ, Том 147,
Вып. 3,
стр. 508 (Март 2015)
(Английский перевод - JETP,
Vol. 120, No 3,
March 2015
доступен on-line на www.springer.com
)
THERMAL TRANSPORT IN A NONCOMMUTATIVE HYDRODYNAMICS
Geracie M., Dam Thanh Son
Поступила в редакцию: 1 Октября 2014
DOI: 10.7868/S004445101503012X
We find the hydrodynamic equations of a system of particles constrained to be in the lowest Landau level. We interpret the hydrodynamic theory as a Hamiltonian system with the Poisson brackets between the hydrodynamic variables determined from the noncommutativity of space. We argue that the most general hydrodynamic theory can be obtained from this Hamiltonian system by allowing the Righi-Leduc coefficient to be an arbitrary function of thermodynamic variables. We compute the Righi-Leduc coefficient at high temperatures and show that it satisfies the requirements of particle-hole symmetry, which we outline. Contribution for the JETP special issue in honor of V. A. Rubakov's 60th birthday
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