Year: 2025
Type: article
Abstract: We introduce an ensemble of spatial networks built from the junctions of hindered-rotation chains, incorporating directional correlations between bonds, an aspect ignored in the standard network modeling paradigm. The emergent random networks support geodesics with a wandering exponent ξ=1/2, and a travel-time fluctuation exponent χ=0, consistent with the KPZ relation, yet violating the bound χ≥1/8 predicted in the Poissonian framework. Transverse deviations follow the Kolmogorov distribution, indicating similarities between Brownian bridge excursions and geodesics in a random medium with correlated edges orientations. These results reveal a new universality class of Euclidean first-passage percolation, where local orientational memory reshapes transport properties and challenges existing bounds for random spatial networks.
Source: Physical review. E
DOI: 10.1103/d6y6-j48y
Author: Ulysse Marquis
Institutions: University of Trento, Fondazione Bruno Kessler
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417211711
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