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Analogue gravitational field from nonlinear fluid dynamics

Year: 2022
Type: article
Abstract: The dynamics of sound in a fluid is intrinsically nonlinear. We derive the consequences of this fact for the analogue gravitational field experienced by sound waves, by first describing generally how the nonlinearity of the equation for phase fluctuations back-reacts on the definition of the background providing the effective space-time metric. Subsequently, we use the analytical tool of Riemann invariants in one-dimensional motion to derive source terms of the effective gravitational field stemming from nonlinearity. Finally, we show that the consequences of nonlinearity we derive can be observed with Bose–Einstein condensates in the ultracold gas laboratory.
Language: English
Open Access status: green
OpenAlex ID: W3205423629
FWCI: 0.705
Cites: 66
Cited by: 8
Related to: 20