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Revisiting de Broglie's double-solution pilot-wave theory with a Lorentz-covariant Lagrangian framework
The relation between de Broglie's double-solution approach to quantum dynamics and the
hydrodynamic pilot-wave system has motivated a number of recent revisitations and …
hydrodynamic pilot-wave system has motivated a number of recent revisitations and …
Pilot-wave dynamics in a rotating frame: the onset of orbital instability
We report the results of a theoretical investigation of the stability of a hydrodynamic
analogue of Landau levels, specifically circular orbits arising when a millimetric droplet self …
analogue of Landau levels, specifically circular orbits arising when a millimetric droplet self …
Nonresonant effects in pilot-wave hydrodynamics
Pilot-wave hydrodynamics concerns the dynamics of “walkers,” droplets walking on a
vibrating bath, and has provided the basis for the burgeoning field of hydrodynamic quantum …
vibrating bath, and has provided the basis for the burgeoning field of hydrodynamic quantum …
[HTML][HTML] Attractor-driven matter
The state of a classical point-particle system may often be specified by giving the position
and momentum for each constituent particle. For non-pointlike particles, the center-of-mass …
and momentum for each constituent particle. For non-pointlike particles, the center-of-mass …
[HTML][HTML] Dynamics, interference effects, and multistability in a Lorenz-like system of a classical wave–particle entity in a periodic potential
J Perks, RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
A classical wave–particle entity (WPE) can be realized experimentally as a droplet walking
on the free surface of a vertically vibrating liquid bath, with the droplet's horizontal walking …
on the free surface of a vertically vibrating liquid bath, with the droplet's horizontal walking …
[HTML][HTML] Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations
RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
A classical wave-particle entity (WPE) can materialize as a millimeter-sized droplet walking
horizontally on the free surface of a vertically vibrating liquid bath. This WPE comprises a …
horizontally on the free surface of a vertically vibrating liquid bath. This WPE comprises a …
Pseudolaminar chaos from on-off intermittency
In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find
diffusive trajectories, which share their appearance with that of laminar chaotic diffusion …
diffusive trajectories, which share their appearance with that of laminar chaotic diffusion …
A mechanical analog of Bohr's atom based on de Broglie's double-solution approach
P Jamet, A Drezet - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
Motivated by recent developments of hydrodynamical quantum mechanical analogs [JWM
Bush, Annu. Rev. Fluid Mech. 47, 269–292 (2015)], we provide a relativistic model for a …
Bush, Annu. Rev. Fluid Mech. 47, 269–292 (2015)], we provide a relativistic model for a …
Convergence to Bohmian mechanics in a de Broglie-like pilot-wave system
D Darrow - Foundations of Physics, 2025 - Springer
Bohmian mechanics supplements the quantum wavefunction with deterministic particle
trajectories, offering an alternate, dynamical language for quantum theory. However, the …
trajectories, offering an alternate, dynamical language for quantum theory. However, the …
Overload wave-memory induces amnesia of a self-propelled particle
Abstract Information storage is a key element of autonomous, out-of-equilibrium dynamics,
especially for biological and synthetic active matter. In synthetic active matter however, the …
especially for biological and synthetic active matter. In synthetic active matter however, the …