[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 …
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 …
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 …
[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 …
Damped-driven system of bouncing droplets leading to deterministic diffusive behavior
A Rahman - Physical Review E, 2023 - APS
Damped-driven systems are ubiquitous in science, however, the damping and driving
mechanisms are often quite convoluted. This paper presents an experimental and …
mechanisms are often quite convoluted. This paper presents an experimental and …
[HTML][HTML] Attractor-driven matter
RN Valani, DM Paganin - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
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 …
Overload wave-memory induces amnesia of a self-propelled particle
M Hubert, S Perrard, N Vandewalle… - Nature …, 2022 - nature.com
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 …
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 …
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 …
Towards a Deterministic Interpretation of Quantum Mechanics: Insights from Dynamical Systems
A Rahman - arXiv preprint arXiv:2405.00707, 2024 - arxiv.org
Experiments violating Bell's inequality appear to indicate deterministic models do not
correspond to a realistic theory of quantum mechanics. The theory of pilot waves seemingly …
correspond to a realistic theory of quantum mechanics. The theory of pilot waves seemingly …