Can classical active particles give wave-like statistics? Our new work shows how Lorenz-like internal dynamics can organize classical active particles into wave-like spatial statistics. #activematter #chaos #HQA journals.aps.org/pre/abstrac…

Wave-mediated interactions can drive rich collective dynamics in active particle clusters. We study walking droplet clusters that form stable bound states with collective excitation modes and show similarities with nuclear physics. Paper: doi.org/10.1103/4cgg-hnyh

In a joint work led by Brendan Harding, and with Yvonne Stokes, we develop a unified Hamiltonian framework for how active particles move in channel flows. Particles undergo complex trajectories but remain confined within predictable regions. @PhysRevE doi.org/10.1103/m9ks-mq3d

Quincke rotation, a particle spinning in an electric field, exhibits complex dynamics and follows the Lorenz equations. In a recent work, we show that fluid memory reshapes this chaos and delays its onset. @AdityaSKhair1 @PhysRevFluids journals.aps.org/prfluids/ab…

In a recent work, we show that a suspension of (non-interacting) deformable, elongated particles in oscillatory shear flow can develop nematic order via a phase synchronization mechanism. The work is published in @PhysRevLett : journals.aps.org/prl/abstrac… @OxfordPhysics

An active particle inspired from walking droplets can unpredictably cross a potential barrier. Using a minimal model, we show that the unpredictability lies in non-equilibrium features of a perturbed Lorenz system @PhysRevE journals.aps.org/pre/abstrac…

Using a simple model of a walking droplet in a harmonic potential, we show countably infinite quantized orbits, as opposed to a continous spectrum that one gets for a classical simple harmonic oscillator. See our open access paper below @PhysRevE : journals.aps.org/pre/abstrac…

There have been various hydrodynamic quantum analogs shown using this experimental system. For e.g. see youtu.be/meKyqF5qL14?si=28pu… The wave and the particle are coupled to each other and they coexist in the system since without the particle, the fluid surface is flat.

Great! In fact, if you introduce the Lorenz system, you can introduce it from the perspective of these walking droplets. Because a simple model of these droplets maps exactly onto the Lorenz system. See below: xitter.cf/RahilValani/status/182… youtu.be/CYRon0Eq_o0?si=F2tV…

Non-equilibrium systems can appear to contradict Newton's 2nd law by responding with persistant motion in the direction opposite to an applied force. We find a dynamical mechanism for this behaviour rooted in asymmetric limit cycles within Lorenz chaos. doi.org/10.48550/arXiv.2408.…

If we consider an ensemble of initial conditions as a probability distribution, then we can get transmission, reflection and wave-like patterns emerging in the distribution as it interacts with the barrier. Similar to what one gets for quantum particles or BEC atoms - 8/10

At even higher memories, due to transient chaos in the Lorenz system, one develops further sensitivity to crossing the barrier based on initial condition and results in fractal basins- 7/10

Here the particle can transmit or reflect depending on its instantaneous velocity when it starts interacting with the barrier. In Lorenz system phase space, this interaction corresponds to a perturbation of the trajectories as it spirals towards fixed points - 6/10

At higher memory, due to spiral nature of the Lorenz system fixed points, we see velocity oscillations for the particle and corresponding stripes pattern in basins - 5/10

We study this classification based on different initial conditions (initial position x_d(0) and initial velocity X(0)). At low memory of the wave-particle entity, we find a clean separation in the basin of transmitted (red) and reflected (blue) states - 4/10