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 study 2D fronts propagating up a co-moving reaction rate gradient infinite number reaction-diffusion systems. We show that in a 2D rectangularchannel, planar solutions to the deterministic mean-field equation are stablewith respect to deviations from planarity. We argue that planar fronts in thecorresponding stochastic system, on the other hand, are unstable if the channelwidth exceeds a critical value. Furthermore, the velocity of the stochasticfronts is shown to depend on the channel width in a simple and interesting way,in contrast to fronts in the deterministic MFE. Thus, fluctuations alter thebehavior of these fronts in an essential way. These affects are shown to bepartially captured by introducing a density cutoff in the reaction rate. Someof the predictions of the cutoff mean-field approach are shown to be inquantitative accord with the stochastic results

Fluctuation-induced instabilities in front propagation up a comoving reaction gradient in two dimensions