51 citations · 289 across the 43 of their papers we have counts for
10 papers · 1 filter
An active Lorentz gas: walking droplets in periodic media
Aleksi Majaniemi, Esko Toivonen, Rahil N. Valani +2
The Lorentz gas is a paradigmatic model in dynamical systems theory for understanding the origin of nonequilibrium transport in terms of microscopic deterministic chaos. In the per…
Synchronization induces Bell violations in a model of walking droplets
Álvaro G. López, Rahil N. Valani, Yuanmei Li +1
We consider a reduced Lorenz-like model that describes two walking droplets interacting through their mutual wave field, and investigate the emergence of strong bipartite correlati…
Intermittent Flocking and Fractal Collective Order Induced by Time-Varying Delays
David Müller-Bender, Rahil N. Valani
Time-varying interaction delays are ubiquitous in active matter, yet their collective effects remain largely unexplored. We show that active particles with internal dynamics and Vi…
Active Soft-Impact Oscillator: Dynamics of a Walking Droplet in a Non-Smooth Potential
Titir Mukherjee, Rahil N Valani, Soumitro Banerjee
Walking droplets are millimetric fluid drops that propel themselves across a vibrated liquid bath through interaction with their self-generated waves. They constitute classical act…
Laminar chaos in systems with random and chaotically time-varying delay
David Müller-Bender, Rahil N. Valani
A type of chaos called laminar chaos was found in singularly perturbed dynamical systems with periodically [Phys. Rev. Lett. 120, 084102 (2018)] and quasiperiodically [Phys. Rev. E…
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…
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.…
Pseudo-laminar chaos from on-off intermittency
David Müller-Bender, Rahil N. Valani, Günter Radons
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…
Lorenz-like systems emerging from an integro-differential trajectory equation of a one-dimensional wave-particle entity
Rahil N. Valani
Vertically vibrating a liquid bath can give rise to a self-propelled wave-particle entity on its free surface. The horizontal walking dynamics of this wave-particle entity can be d…
Anomalous transport of a classical wave-particle entity in a tilted potential
Rahil N. Valani
A classical wave-particle entity in the form of a millimetric walking droplet can emerge on the free surface of a vertically vibrating liquid bath. Such wave-particle entities have…