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- Title
Quantum wave representation of dissipative fluids.
- Authors
Salasnich, Luca; Succi, Sauro; Tiribocchi, Adriano
- Abstract
We present a mapping between a Schrödinger equation with a shifted nonlinear potential and the Navier–Stokes equation. Following a generalization of the Madelung transformations, we show that the inclusion of the Bohm quantum potential plus the laplacian of the phase field in the nonlinear term leads to continuity and momentum equations for a dissipative incompressible Navier–Stokes fluid. An alternative solution, built using a complex quantum diffusion, is also discussed. The present models may capture dissipative effects in quantum fluids, such as Bose–Einstein condensates, as well as facilitate the formulation of quantum algorithms for classical dissipative fluids.
- Subjects
BOSE Corp.; BOSE-Einstein condensation; NONLINEAR Schrodinger equation; QUANTUM fluids; FLUIDS; SCHRODINGER equation
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2024, Vol 35, Issue 8, p1
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183124501006