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

The present review is devoted to the problems of finite-size scaling due tothe presence of long-range interaction decaying at large distance as$1/r^{d+\sigma}$, $\sigma>0$. The attention is focused mainly on therenormalization group results in the framework of ${\cal O}(n)$ $\phi^{4}$ -theory for systems with fully finite (block) geometry under periodic boundaryconditions. Some bulk critical properties and Monte Carlo results also arereviewed. The role of the cutoff effects as well their relation with thoseoriginating from the long-range interaction is also discussed. Specialattention is paid to the description of the adequate mathematical techniquethat allows to treat the long-range and short-range interactions on equalground. The review closes with short discussion of some open problems.Comment: New figures are added. Now 17 pages including 4 figures. Accepted for  publication in Modren Physics Letter

CRITICAL BEHAVIOR OF SYSTEMS WITH LONG-RANGE INTERACTION IN RESTRICTED GEOMETRY