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- W4385825339 abstract "We present a mapping between a Schrodinger equation with a complex diffusion along with a complex potential and the Navier-Stokes equation. Following a generalization of the Madelung transformations, we show that the inclusion of above contributions leads to continuity and momentum equations for a dissipative incompressible Navier-Stokes fluid. The dynamics is found to preserve unitarity, a condition that is lost if non-imaginary potentials are considered. The present model may facilitate the formulation of quantum algorithms for classical dissipative fluids. In particular, since quantum wave equations of this sort have recently been used to develop analogies between polariton systems and the Kardar-Parisi-Zhang (KPZ) equation, the present model may open up intriguing prospects for polariton-based realizations of quantum computers." @default.
- W4385825339 created "2023-08-15" @default.
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- W4385825339 date "2023-08-10" @default.
- W4385825339 modified "2023-09-26" @default.
- W4385825339 title "Navier-Stokes-Schrodinger equation for dissipative fluids" @default.
- W4385825339 doi "https://doi.org/10.48550/arxiv.2308.05879" @default.
- W4385825339 hasPublicationYear "2023" @default.
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