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arXiv · 1408.3885

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

Mayumi Saitou·Kazuharu Bamba·Akio Sugamoto
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Abstract

Hydrodynamics on non-commutative space is studied based on a formulation of hydrodynamics by Y. Nambu 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 to find the hydrodynamics of granular materials whose minimum volume is given by $\theta$. To clarify this minimum volume, path integral quantization and uncertainty relation of Nambu dynamics are examined.

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Mayumi Saitou, Kazuharu Bamba, Akio Sugamoto. 2014-08-18. Hydrodynamics on non-commutative space --A step toward hydrodynamics of granular materials--. https://doi.org/10.1093/ptep/ptu138

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