Work

Hydromagnetic shock waves in a dissipative Adlam–Allen model

Year: 2025

Type: article

Abstract: In this work, we revisit the topic of existence of hydrodynamic shock waves in a cold weakly collisional plasma. For this purpose, we consider the well-established Adlam–Allen model with the addition of a dashpot term associated with the dissipation of the motion of the electrons relative to the ions. We establish the connection between this model and the Korteweg–de Vries Burgers equation via an asymptotic multiscale analysis. This fact suggests the possibility that this system may support shock wave solutions. Accordingly, by considering a corresponding dynamical system arising through a co-traveling frame reduction, we identify such orbits via a phase-plane analysis. We then leverage such initial conditions within systematic simulations of the original modified Adlam–Allen model, revealing a variety of supported robust wavefronts depending on the magnitude of the dissipation considered.

Source: Physics of Plasmas

DOI: 10.1063/5.0268216

Authors: Marco Calabrese, Vassilis Koukouloyannis, Sibtain Abbas, Gohar Abbas, Panayotis G. Kevrekidis

Institutions: University of Massachusetts Amherst, University of the Aegean, Government College University, Lahore

Language: English

Topic: Dust and Plasma Wave Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Science Foundation

Awards: Collaborative Research: New Directions in Vortex Dynamics: from Theory and Computation to Physical Experiments, Collaborative Research: From Quantum Droplets & Spinor Solitons to Vortex Knots & Topological States: Beyond the Standard Mean-Field in Atomic BECs, Collaborative Research: Collapse, Rogue Waves, and their Applications: From Theory to Computation and Beyond