English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We report the results of numerical simulations for a model of a one componentplasma (a system of N point electrons with mutual Coulomb interactions) in auniform stationary magnetic field. We take N up to 512, with periodic boundaryconditions, and macroscopic parameters corresponding to the weak couplingregime, with a coupling parameter \Gamma=1/64. We find that a transition fromorder to chaos takes place when the density is increased or the field decreasedso that the ratio \omega_p/\omega_c between plasma and cyclotron frequenciesbecomes of order 1 (or equivalently the ratio r_L/\lambda_D between Larmorradius and Debye length becomes of order 1). The result is in agreement withthe theoretical prediction obtained in [1], on the basis of an old estimate ofIglesias, Lebowitz and MacGowan [2] for the intensity of the electric fieldacting on one electron and due to all the other ones. A comparison can be madewith the threshold obtained from kinetic theory arguments, which corresponds tothe condition \nu_{ee}/\omega_c=1, where \nu_{ee} is the electron collisionfrequency. The latter threshold has a completely different dependence on thephysical parameters and, for \Gamma=1/64, gives a critical value of \omega_pabout 80 times larger.

Transition to chaos in magnetized, weakly coupled plasmas