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 supercritical series expansion of the survival probability for theone-dimensional contact process in heterogeneous and disordered lattices isused for the evaluation of the loci of critical points and critical exponents$\beta$. The heterogeneity and disorder are modeled by considering binaryregular and irregular lattices of nodes characterized by different recoveryrates and identical transmission rates. Two analytical approaches based onNested Pad\'e approximants and Partial Differential approximants were used inthe case of expansions with respect to two variables (two recovery rates) forthe evaluation of the critical values and critical exponents. The criticalexponents in heterogeneous systems are very close to those for the homogeneouscontact process thus confirming that the contact process in periodicheterogeneous environment belongs to the directed percolation universalityclass. The disordered systems, in contrast, seem to have continuously varyingcritical exponents.

Supercritical series expansion for the contact process in heterogeneous and disordered environments