Work

Hydrodynamics on non-commutative space: A step toward hydrodynamics of granular materials

Year: 2014

Type: article

Abstract: Hydrodynamics on non-commutative space is studied based on a formulation of hydrodynamics by Y. Nambu [1] in terms of Poisson and Nambu brackets. Replacing these brackets by Moyal brackets with a parameter |$\theta$|⁠, a new hydrodynamics on non-commutative space is derived. It may be a step toward finding the hydrodynamics of granular materials whose minimum volume is given by |$\theta$|⁠. To clarify this minimum volume, path integral quantization and the uncertainty relation of Nambu dynamics are examined.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptu138

Authors: M. Saitou, K. Bamba, A. Sugamoto

Institution: Ochanomizu University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funder: Japan Society for the Promotion of Science