English

Single-mode nonlinear Langevin emulation of magnetohydrodynamic turbulence

Plasma Physics 2018-07-04 v1

Abstract

Based on the Langevin equation of Brownian motion, we present a simple model that emulates a typical mode in incompressible magnetohydrodynamic turbulence, providing a demonstration of several key properties. The model equation is consistent with von K\'arm\'an decay law and Kolmogorov's symmetries. We primarily focus on the behavior of inertial range modes although we also attempt to include some properties of the large scale modes. Dissipation scales are not considered. Results from the model are compared with results from published Direct Numerical Simulations.

Keywords

Cite

@article{arxiv.1805.04630,
  title  = {Single-mode nonlinear Langevin emulation of magnetohydrodynamic turbulence},
  author = {Riddhi Bandyopadhyay and William H. Matthaeus and Tulasi N. Parashar},
  journal= {arXiv preprint arXiv:1805.04630},
  year   = {2018}
}

Comments

13 pages, 13 figures, accepted for publication in Physical Review E