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 difficulties arising in the investigation of finite-size scaling in$d$--dimensional O(n) systems with strong anisotropy and/or long-rangeinteraction, decaying with the interparticle distance $r$ as $r^{-d-\sigma}$($0<\sigma\leq2$), are discussed. Some integral representations aiming at thesimplification of the investigations are presented for the classical andquantum lattice sums that take place in the theory. Special attention is paidto a more general form allowing to treat both cases on an equal footing and inaddition cases with strong anisotropic interactions and different geometries.The analysis is simplified further by expressing this general form in terms ofa generalization of the Mittag-Leffler special functions. This turned out to bevery useful for the extraction of asymptotic finite-size behaviours of thethermodynamic functions.Comment: Accepted for publication in J. Phys. A: Math. and Gen.; 14 pages. The  manuscript has been improved to help reader

Generalized Mittag–Leffler functions in the theory of finite-size scaling for systems with strong anisotropy and/or long-range interaction