International Journal of Physics

International Journal of Physics | Vol. 1, No. 2, February 2010 | pp. 9–16

Review Article

Title: Nonlinear Magnetohydrodynamic Wave Propagation in Solar Corona Plasma Loops

Names of Authors: D. E. Petrov¹, E. F. Varga²

Authors’ Affiliations: ¹Solar Physics Department, Sternberg Astronomical Institute, Moscow, Russia; ²Institute of Physics, Academy of Sciences, Budapest, Hungary

Abstract: This review synthesizes current theoretical and observational insights into nonlinear magnetohydrodynamic (MHD) wave dynamics within coronal loops. We examine the steepening of slow and fast magneto-acoustic waves into shock fronts under the influence of gravitational stratification and asymmetric magnetic field expansions B(z). Special attention is given to resonant absorption and phase mixing mechanisms that dissipate wave energy at rates exceeding Q_diss = 100 W/m² in active region loops. Utilizing the reductive perturbation method, we derive the generalized Burgers- Korteweg-de Vries equation governing velocity perturbations u(x, t) in low-beta plasma environments. Observational signatures from TRACE and SOHO spacecraft confirm fast-mode attenuation lengths lambda_att ranging from 5 to 20 Mm. We outline open challenges in modeling coronal heating via dissipation of turbulent MHD cascades and wave-particle interactions.

Keywords: Solar corona, Magnetohydrodynamics, Shock waves, Plasma loops, Wave dissipation

Manuscript Timeline: Received 12 November 2009, Revised 10 December 2009, Accepted 20 December 2009, Published 02 February 2010

Citation: Petrov, D. E., & Varga, E. F. (2010). Nonlinear Magnetohydrodynamic Wave Propagation in Solar Corona Plasma Loops. International Journal of Physics, 1(2), 9–16. DOI: 10.46882/2010/IJP/000002