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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The crossover from Edwards-Wilkinson ($s=0$) to KPZ ($s>0$) type growth isstudied for the BCSOS model. We calculate the exact numerical values for the$k=0$ and $2\pi/N$ massgap for $N\leq 18$ using the master equation. We predictthe structure of the crossover scaling function and confirm numerically that$m_0\simeq 4 (\pi/N)^2 [1+3u^2(s) N/(2\pi^2)]^{0.5}$ and $m_1\simeq 2 (\pi/N)^2[1+ u^2(s) N/\pi^2]^{0.5}$, with $u(1)=1.03596967$. KPZ type growth isequivalent to a phase transition in meso-scopic metallic rings where attractiveinteractions destroy the persistent current; and to endpoints of facet-ridgesin equilibrium crystal shapes.Comment: 11 pages, TeX, figures upon reques

Crossover Scaling Functions in One Dimensional Dynamic Growth Models