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

We investigate the classical evolution of a $\phi^4$ scalar field theory,using in the initial state random field configurations possessing a fractalmeasure expressed by a non-integer mass dimension. These configurationsresemble the equilibrium state of a critical scalar condensate. The measures ofthe initial fractal behavior vary in time following the mean field motion. Weshow that the remnants of the original fractal geometry survive and leave animprint in the system time averaged observables, even for large times comparedto the approximate oscillation period of the mean field, determined by themodel parameters. This behavior becomes more transparent in the evolution of adeterministic Cantor-like scalar field configuration. We extend our study tothe case of two interacting scalar fields, and we find qualitatively similarresults. Therefore, our analysis indicates that the geometrical properties of acritical system initially at equilibrium could sustain for several periods ofthe field oscillations in the phase of non-equilibrium evolution.Comment: 13 pages, 13 figures, version published at Int. J. Mod. Phys.

CLASSICAL EVOLUTION OF FRACTAL MEASURES GENERATED BY A SCALAR FIELD ON THE LATTICE