PMID: 11308976Apr 20, 2001Paper

Quantum lattice-gas model for computational fluid dynamics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J Yepez

Abstract

Quantum-computing ideas are applied to the practical and ubiquitous problem of fluid dynamics simulation. Hence, this paper addresses two separate areas of physics: quantum mechanics and fluid dynamics (or specifically, the computational simulation of fluid dynamics). The quantum algorithm is called a quantum lattice gas. An analytical treatment of the microscopic quantum lattice-gas system is carried out to predict its behavior at the mesoscopic scale. At the mesoscopic scale, a lattice Boltzmann equation with a nonlocal collision term that depends on the entire system wave function, governs the dynamical system. Numerical results obtained from an exact simulation of a one-dimensional quantum lattice model are included to illustrate the formalism. A symbolic mathematical method is used to implement the quantum mechanical model on a conventional workstation. The numerical simulation indicates that classical viscous damping is not present in the one-dimensional quantum lattice-gas system.

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Citations

Aug 19, 2015·Scientific Reports·A MezzacapoE Solano
Dec 21, 2017·Proceedings of the National Academy of Sciences of the United States of America·Johannes BauschMichael M Wolf
Oct 8, 2005·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·David A Meyer
Oct 8, 2005·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Sauro Succi
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mark W Coffey, Gabriel G Colburn
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·George VahalaSean Ziegeler
Jul 29, 2017·Scientific Reports·Cina AghamohammadiJames P Crutchfield
Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michael M Micci, Jeffrey Yepez
Dec 14, 2018·Journal of the Electrochemical Society·Amir TaqieddinAkram N Alshawabkeh
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Philip Mocz, Sauro Succi
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Linhao ZhongShouting Gao
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jaw-Yen Yang, Li-Hsin Hung
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jianying Zhang, Guangwu Yan
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S Palpacelli, S Succi

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