Introduction to focus issue on hydrodynamic quantum analogs

• DOI: 10.1063/1.5055383
• Publication Date: 2018-09-27T16:03:36Z
• Authors: John W. M. Bush; Yves Couder; Tristan Gilet; Paul A. Milewski; André Nachbin
• Keywords: 0103 physical sciences; /dk/atira/pure/subjectarea/asjc/3100/3109; name=Statistical and Nonlinear Physics; /dk/atira/pure/subjectarea/asjc/2600/2604; name=Applied Mathematics; 01 natural sciences; /dk/atira/pure/subjectarea/asjc/3100/3100; name=General Physics and Astronomy; /dk/atira/pure/subjectarea/asjc/2600/2610; name=Mathematical Physics

Hydrodynamic quantum analogs is a nascent field initiated in 2005 by the discovery of hydrodynamic pilot-wave system [Y. Couder, S. Protière, E. Fort, and A. Boudaoud, Nature 437, 208 (2005)]. The consists millimetric droplet self-propeling along surface vibrating bath through resonant interaction with its own wave [J. W. M. Bush, Annu. Rev. Fluid Mech. 47, 269-292 (2015)]. There are three critical ingredients for like-behavior. first "path memory" [A. Eddi, Sultan, J. Moukhtar, Rossi, Y. 675, 433-463 (2011)], which renders non-Markovian: instantaneous force acting on depends explicitly past. second resonance condition between that ensures highly structured monochromatic pilot imposes an effective potential walking droplet, resulting preferred, quantized states. third ingredient chaos, several systems characterized unpredictable switching unstable periodic orbits. This focus issue devoted to recent studies relating hydrodynamics, attempts answer following simple but provocative question: Might deterministic chaotic dynamics underlie statistics?