51 citations · 289 across the 43 of their papers we have counts for
8 papers · 1 filter
Megastable quantization in generalized pilot-wave hydrodynamics
Álvaro G. López, Rahil N. Valani
A classical particle in a harmonic potential gives rise to a continuous energy spectra, whereas the corresponding quantum particle exhibits countably infinite quantized energy leve…
Tunneling in a Lorenz-like model for an active wave-particle entity
Runze Xu, Rahil N. Valani
Active wave-particle entities (WPEs) emerge as self-propelled oil droplets on the free surface of a vibrating oil bath. The particle (droplet) periodically imprints decaying waves…
Asymmetric limit cycles within Lorenz chaos induce anomalous mobility for a memory-driven active particle
Rahil N. Valani, Bruno S. Dandogbessi
On applying a small bias force, non-equilibrium systems may respond in paradoxical ways such as with giant negative mobility (GNM) -- a large net drift opposite to the applied bias…
Active particle motion in Poiseuille flow through rectangular channels
Rahil N. Valani, Brendan Harding, Yvonne M. Stokes
We investigate the dynamics of a point-like active particle suspended in fluid flow through a straight channel. For this particle-fluid system, we derive a constant of motion for a…
Driven transitions between megastable quantized orbits
Álvaro G. López, Rahil N. Valani
We consider a nonlinear oscillator with state-dependent time-delay that displays a countably infinite number of nested limit cycle attractors, \emph{i.e.} megastability. In the low…
Inertial particle focusing in fluid flow through spiral ducts: dynamics, tipping phenomena and particle separation
Rahil N. Valani, Brendan Harding, Yvonne M. Stokes
Small finite-size particles suspended in fluid flow through an enclosed curved duct can focus to points or periodic orbits in the two-dimensional duct cross-section. This particle…
Markovian Embedding of Nonlinear Memory via Spectral Representation
Divya Jaganathan, Rahil N. Valani
Differential equations containing memory terms that depend nonlinearly on past states model a variety of non-Markovian processes. In this study, we present a Markovian embedding pr…
Quantum-like behavior of an active particle in a double-well potential
Rahil N. Valani, Álvaro G. López
A macroscopic, self-propelled wave-particle entity (WPE) that emerges as a walking droplet on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs.…