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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We introduce and analyze a general one-dimensional model for the descriptionof transient patterns which occur in the evolution between two spatiallyhomogeneous states. This phenomenon occurs, for example, during theFreedericksz transition in nematic liquid crystals.The dynamics leads to theemergence of finite domains which are locally periodic and independent of eachother. This picture is substantiated by a finite-size scaling law for thestructure factor. The mechanism of evolution towards the final homogeneousstate is by local roll destruction and associated reduction of localwavenumber. The scaling law breaks down for systems of size comparable to thesize of the locally periodic domains. For systems of this size or smaller, anapparent nonlinear selection of a global wavelength holds, giving rise to longlived periodic configurations which do not occur for large systems. We alsomake explicit the unsuitability of a description of transient pattern dynamicsin terms of a few Fourier mode amplitudes, even for small systems with a fewlinearly unstable modes.Comment: 18 pages (REVTEX) + 10 postscript figures appende

Ordering and finite-size effects in the dynamics of one-dimensional transient patterns