2014/07/31 by Michael Geracie, D. Son, Dam Thanh Son · 5 citations
Computer Science · Physics and Astronomy · #Environmental science #Mathematical physics #Mechanics #Noncommutative geometry #Physics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum many-body systems #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1134/s1063776115030061
published in Journal of Experimental and Theoretical Physics 120(3), 444-448 (Pleiades Publishing) · 5 pages, published version
arxiv created 2015/02/24 · openalex publication_date 2015/03/01 · arxiv updated 2015/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.