Nonlinear dynamics of large amplitude dust acoustic shocks and solitary pulses in dusty plasmas

TL;DR

This paper develops a fully nonlinear hydrodynamic model to describe large amplitude dust acoustic shocks and solitary pulses in strongly coupled dusty plasmas, aligning well with recent experimental observations.

Contribution

It introduces a generalized nonlinear theory for dust acoustic waves in strongly coupled dusty plasmas, capturing large amplitude phenomena not addressed by previous linear models.

Findings

Numerical solutions agree with experimental observations of large amplitude DA shocks and solitary pulses.

The model successfully describes the formation and evolution of nonlinear DA structures.

Results demonstrate the importance of nonlinear effects in dusty plasma wave dynamics.

Abstract

We present a fully nonlinear theory for dust acoustic (DA) shocks and DA solitary pulses in a strongly coupled dusty plasma, which have been recently observed experimentally by Heinrich et al. [Phys. Rev. Lett. 103, 115002 (2009)], Teng et al. [Phys. Rev. Lett. 103, 245005 (2009)], and Bandyopadhyay et al. [Phys. Rev. Lett. 101, 065006 (2008)]. For this purpose, we use a generalized hydrodynamic model for the strongly coupled dust grains, accounting for arbitrary large amplitude dust number density compressions and potential distributions associated with fully nonlinear nonstationary DA waves. Time-dependent numerical solutions of our nonlinear model compare favorably well with the recent experimental works (mentioned above) that have reported the formation of large amplitude non-stationary DA shocks and DA solitary pulses in low-temperature dusty plasma discharges.