Predictability in a hydrodynamic pilot-wave system: Resolution of walker tunneling

Tadrist, Loïc; Gilet, Tristan; Schlagheck, Peter; Bush, John W.M.

doi:10.1103/PhysRevE.102.013104

Request a copy

Article (Scientific journals)

Predictability in a hydrodynamic pilot-wave system: Resolution of walker tunneling

Tadrist, Loïc; Gilet, Tristan; Schlagheck, Peter et al.

2020 • In Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 102, p. 013104

Peer Reviewed verified by ORBi

Permalink
https://hdl.handle.net/2268/250757

DOI
10.1103/PhysRevE.102.013104

PubMed
32795022

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

2020-PRE.pdf

Publisher postprint (2.69 MB)

Request a copy

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Disciplines :

Physics

Author, co-author :

Tadrist, Loïc ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Microfluidique

Gilet, Tristan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Microfluidique

Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique

Bush, John W.M.; Massachusetts Institute of Technology - MIT > Mathematics

Language :

English

Title :

Predictability in a hydrodynamic pilot-wave system: Resolution of walker tunneling

Publication date :

2020

Journal title :

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

ISSN :

1539-3755

eISSN :

1550-2376

Publisher :

American Physical Society, United States - Maryland

Volume :

102

Pages :

013104

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 08 September 2020

Statistics

Number of views

77 (15 by ULiège)

Number of downloads

4 (4 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

Y. Couder, E. Fort, C.-H. Gautier, and A. Boudaoud, From Bouncing to Floating: Noncoalescence of Drops on a Fluid Bath, Phys. Rev. Lett. 94, 177801 (2005) PRLTAO 0031-9007 10.1103/PhysRevLett.94.177801.
S. Protiere, A. Boudaoud, and Y. Couder, Particle-wave association on a fluid interface, J. Fluid Mech. 554, 85 (2006) JFLSA7 0022-1120 10.1017/S0022112006009190.
A. Eddi, E. Sultan, J. Moukhtar, E. Fort, M. Rossi, and Y. Couder, Information stored in faraday waves: The origin of a path memory, J. Fluid Mech. 674, 433 (2011) JFLSA7 0022-1120 10.1017/S0022112011000176.
J. Molacek and J. W. M. Bush, Drop bouncing on a vibrating bath, J. Fluid Mech. 727, 582 (2013) JFLSA7 0022-1120 10.1017/jfm.2013.279.
J. Moláček and J. W. M. Bush, Drops walking on a vibrating bath: Toward a hydrodynamic pilot-wave theory, J. Fluid Mech. 727, 612 (2013) JFLSA7 0022-1120 10.1017/jfm.2013.280.
P. A. Milewski, C. A. Galeano-Rios, A. Nachbin, and J. W. M. Bush, Faraday pilot-wave dynamics: Modeling and computation, J. Fluid Mech. 778, 361 (2015) JFLSA7 0022-1120 10.1017/jfm.2015.386.
L. Tadrist, J.-B. Shim, T. Gilet, and P. Schlagheck, Faraday instability and subthreshold faraday waves: Surface waves emitted by walkers, J. Fluid Mech. 848, 906 (2018) JFLSA7 0022-1120 10.1017/jfm.2018.358.
J. W. M. Bush, Pilot-wave hydrodynamics, Annu. Rev. Fluid Mech. 47, 269 (2015) ARVFA3 0066-4189 10.1146/annurev-fluid-010814-014506.
E. Fort, A. Eddi, A. Boudaoud, J. Moukhtar, and Y. Couder, Path-memory induced quantization of classical orbits, Proc. Nat. Acad. Sci. USA 107, 17515 (2010) PNASA6 0027-8424 10.1073/pnas.1007386107.
A. U. Oza, O. Wind-Willassen, D. M. Harris, R. R. Rosales, and J. W. M. Bush, Pilot-wave hydrodynamics in a rotating frame: Exotic orbits, Phys. Fluids 26, 082101 (2014) PHFLE6 1070-6631 10.1063/1.4891568.
M. Labousse, A. U. Oza, S. Perrard, and J. W. M. Bush, Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits, Phys. Rev. E 93, 033122 (2016) 2470-0045 10.1103/PhysRevE.93.033122.
S. Perrard, M. Labousse, M. Miskin, E. Fort, and Y. Couder, Self-organization into quantized eigenstates of a classical wave-driven particle, Nat. Commun. 5, 3219 (2014) 2041-1723 10.1038/ncomms4219.
D. M. Harris, J. Moukhtar, E. Fort, Y. Couder, and J. W. M. Bush, Wavelike statistics from pilot-wave dynamics in a circular corral, Phys. Rev. E 88, 011001 (R) (2013) PLEEE8 1539-3755 10.1103/PhysRevE.88.011001.
P. J. Sáenz, T. Cristea-Platon, and J. W. M. Bush, Statistical projection effects in a hydrodynamic pilot-wave system, Nat. Phys. 14, 315 (2018) 1745-2473 10.1038/s41567-017-0003-x.
Y. Couder and E. Fort, Single-Particle Diffraction and Interference at a Macroscopic Scale, Phys. Rev. Lett. 97, 154101 (2006) PRLTAO 0031-9007 10.1103/PhysRevLett.97.154101.
A. Andersen, J. Madsen, C. Reichelt, S. R. Ahl, B. Lautrup, C. Ellegaard, M. T. Levinsen, and T. Bohr, Double-slit experiment with single wave-driven particles and its relation to quantum mechanics, Phys. Rev. E 92, 013006 (2015) PLEEE8 1539-3755 10.1103/PhysRevE.92.013006.
G. Pucci, D. M. Harris, L. M. Faria, and J. W. M. Bush, Walking droplets interacting with single and double slits, J. Fluid Mech. 835, 1136 (2018) JFLSA7 0022-1120 10.1017/jfm.2017.790.
T. Bohr, Quantum physics dropwise, Nat. Phys. 14, 209 (2018) 1745-2473 10.1038/s41567-017-0015-6.
A. Eddi, E. Fort, F. Moisy, and Y. Couder, Unpredictable Tunneling of a Classical Wave-Particle Association, Phys. Rev. Lett. 102, 240401 (2009) PRLTAO 0031-9007 10.1103/PhysRevLett.102.240401.
A. Nachbin, P. A. Milewski, and J. W. M. Bush, Tunneling with a hydrodynamic pilot-wave model, Phys. Rev. Fluids 2, 034801 (2017) 2469-990X 10.1103/PhysRevFluids.2.034801.
M. Hubert, M. Labousse, and S. Perrard, Self-propulsion and crossing statistics under random initial conditions, Phys. Rev. E 95, 062607 (2017) 2470-0045 10.1103/PhysRevE.95.062607.
D. Shirokoff, Bouncing droplets on a billiard table, Chaos 23, 013115 (2013) CHAOEH 1054-1500 10.1063/1.4790840.
T. Gilet, Dynamics and statistics of wave-particle interactions in a confined geometry, Phys. Rev. E 90, 052917 (2014) PLEEE8 1539-3755 10.1103/PhysRevE.90.052917.
L. Tadrist, N. Sampara, P. Schlagheck, and T. Gilet, Interaction of two walkers: Perturbed vertical dynamics as a source of chaos, Chaos 28, 096113 (2018) CHAOEH 1054-1500 10.1063/1.5031888.
T. Cristea-Platon, P. J. Sáenz, and J. W. M. Bush, Walking droplets in a circular corral: Quantisation and chaos, Chaos 28, 096116 (2018) CHAOEH 1054-1500 10.1063/1.5034123.
D. M. Harris and J. W. M. Bush, Generating uniaxial vibration with an electrodynamic shaker and external air bearing, J. Sound Vib. 334, 255 (2015) JSVIAG 0022-460X 10.1016/j.jsv.2014.09.015.
D. M. Harris, T. Liu, and J. W. M. Bush, A low-cost, precise piezoelectric droplet-on-demand generator, Exp. Fluids 56, 83 (2015) EXFLDU 0723-4864 10.1007/s00348-015-1950-6.
S. Protiere, Gouttes rebondissantes: une association onde-particule à échelle macroscopique, Ph.D. thesis, Université Paris-Diderot-Paris VII, 2017.
P. J. Sáenz, T. Cristea-Platon, and J. W. M. Bush, A hydrodynamic analog of Friedel oscillations, Sci. Adv. 6, eaay9234 (2020) 2375-2548 10.1126/sciadv.aay9234.
G. Pucci, P. J. Sáenz, L. M. Faria, and J. W. M. Bush, Nonspecular reflection of walking droplets, J. Fluid Mech. 804, R3 (2016) JFLSA7 0022-1120 10.1017/jfm.2016.537.
C. Cohen-Tannoudji, B. Diu, F. Laloe, and B. Dui, Quantum Mechanics (Wiley-Interscience, Hoboken, NJ, 2006).
M. Holland, S. Marksteiner, P. Marte, and P. Zoller, Measurement Induced Localization from Spontaneous Decay, Phys. Rev. Lett. 76, 3683 (1996) PRLTAO 0031-9007 10.1103/PhysRevLett.76.3683.
S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, Observing the average trajectories of single photons in a two-slit interferometer, Science 332, 1170 (2011) SCIEAS 0036-8075 10.1126/science.1202218.
B. Nowak, J. J. Kinnunen, M. J. Holland, and P. Schlagheck, Delocalization of ultracold atoms in a disordered potential due to light scattering, Phys. Rev. A 86, 043610 (2012) PLRAAN 1050-2947 10.1103/PhysRevA.86.043610.
M. Arnal, G. Chatelain, M. Martinez, N. Dupont, O. Giraud, D. Ullmo, B. Georgeot, G. Lemarié, J. Billy, and D. Guéry-Odelin, Chaos-assisted tunneling resonances in a synthetic floquet superlattice, arXiv:2003.10387.
A. Shudo and K. S. Ikeda, Complex Classical Trajectories and Chaotic Tunneling, Phys. Rev. Lett. 74, 682 (1995) PRLTAO 0031-9007 10.1103/PhysRevLett.74.682.
S. Keshavamurthy and P. Schlagheck, Dynamical Tunneling: Theory and Experiment (CRC Press, Boca Raton, FL, 2011).