Melting Coulomb clusters through nonreciprocity-enhanced parametric pumping

TL;DR

This paper demonstrates that nonreciprocal interactions in charged particle clusters induce parametric coupling and feedback loops, leading to explosive mode growth, abrupt melting transitions, and long-term intermittency in nonequilibrium plasma systems.

Contribution

It reveals how nonreciprocal interactions enhance parametric coupling, causing explosive growth and melting in Coulomb clusters, a novel mechanism for dynamical transitions in such systems.

Findings

Nonreciprocal interactions amplify parametric coupling.

Explosive growth of horizontal and vertical modes observed.

Transitions from ordered to ergodic states are triggered by feedback loops.

Abstract

Complex systems out of equilibrium often experience intermittent oscillations between quiescent and highly dynamic states. The type of intermittency depends on how energy is pumped into the system, and how it is dissipated. While intermittency is usually driven by stochastic noise or external forcing, energy can also be sourced from field-mediated interactions between particles, which are often nonreciprocal and effectively violate Newton's 3rd law. Here we demonstrate how nonreciprocal interactions produce intermittency in clusters of charged micron-sized particles confined in a plasma sheath. Through three-dimensional particle tracking, we observe that vertical oscillations, induced by fluctuations of the plasma environment, can be parametrically coupled to the horizontal modes. Experiments and simulations show that nonreciprocal interactions strongly amplify this parametric coupling, creating a positive feedback loop that drives explosive growth of both the horizontal and vertical modes. This mechanism triggers abrupt melting transitions from an ordered cluster to an ergodic gas-like state, and leads to intermittent switching between states over long time scales. Overall, our work identifies nonreciprocal interactions as a key mechanism through which strongly coupled finite systems transform interaction-mediated activity into dynamical nonequilibrium states.