Plane waves in noncommutative fluids

Abstract

We study the dynamics of the noncommutative fuid in the Snyder space perturbatively at the first order in powers of the noncommutative parameter. The linearized noncommutative fluid dynamics is described by a system of coupled linear partial differential equations in which the variables are the fluid density and the fluid potentials. We show that these equations admit a set of solutions that are monocromatic plane waves for the fluid density and two of the potentials and a linear function for the third potential. The energy-momentum tensor of the plane waves is calculated.

11 pages. Version published as a Letter

References in corpus (13)

• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Twisted Statistics in kappa-Minkowski Spacetime
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Covariant realizations of kappa-deformed space
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Scalar field theory in Snyder space-time: alternatives
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Noncommutative fluid dynamics in the Snyder space-time
• Thermodynamics on Fuzzy Spacetime
• Lochlainn O'Raifeartaigh, Fluids, and Noncommuting Fields
• A note on the topological order of noncommutative Hall fluids
• Quantization of the Relativistic Fluid in Physical Phase Space on Kähler Manifolds

Cited by in corpus (3)

• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Hydrodynamics on non-commutative space --A step toward hydrodynamics of granular materials--