Thermal transport in a noncommutative hydrodynamics

Journal Article · Sun Mar 15 00:00:00 EDT 2015 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776115030061· OSTI ID:22472373

Geracie, M., E-mail: [e-mail]; Son, D. T., E-mail: [e-mail] ^[1]

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1. University of Chicago, Kadanoff Center for Theoretical Physics (United States)

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.

• OSTI ID: 22472373
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 120, Issue 3; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

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TEMPERATURE DEPENDENCE