Average conservative chaos in quantum dusty plasmas

TL;DR

This paper studies the chaotic behavior of quantum dusty plasmas using a hydrodynamic model, proving average conservation properties and numerically analyzing chaos and parameter space organization.

Contribution

It introduces a mathematical proof of average conservative chaos in quantum dusty plasmas and numerically explores the chaotic dynamics across parameters.

Findings

Dust ion acoustic waves are conservative on average.

Chaotic dynamics are present over a wide parameter range.

Chaos organizes in the parameter space with varying Mach number and quantum diffraction.

Abstract

We consider a hydrodynamic model of a quantum dusty plasma. We prove mathematically that the resulting dust ion acoustic plasma waves present the property of being conservative on average. Furthermore, we test this property numerically, confirming its validity. Using standard techniques from the study of dynamical systems, as for example the Lyapunov characteristic exponents, we investigate the chaotic dynamics of the plasma and show numerically its existence for a wide range of parameter values. Finally, we illustrate how chaotic dynamics organizes in the parameter space for fixed values of the initial conditions, as the Mach number and the quantum diffraction parameter are continuously varied.