The gap between surfaces, not the body size, switches fusion in a pattern-forming chemical medium

A reaction-diffusion medium with an uneven, striped supply is used to ask what decides whether two blobs of pattern fuse into one. Enumerating all positions modulo the stripe period gives 144 phase classes and nine distinct local supplies. At a fixed supply the bridge of chemical between the bodies decides the outcome (logistic slope 6.09, z 5.8 at radius 6; 4.85, z 2.7 at radius 3), with the supply-fusion association carrying the opposite sign at the smaller body. The surface-to-surface gap switches fusion (share 0.00 at a 12-cell gap, 0.19 at 10, 0.40 at 9, 0.83 and 0.96 at 8) while the body size shifts it by about a tenth. Replacing runs by worlds leaves an AUC at 0.652 to 0.660 but moves a deviance drop from 20.7 to 14.3, inside that test's own bar of 20, so the unit of observation has to be checked per statistic.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-09
DOI
https://doi.org/10.5281/zenodo.23970710
Citations
1
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
preprint

The gap between surfaces, not the body size, switches fusion in a pattern-forming chemical medium

Илья Владимиров
1 citations
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Dynamics and Pattern Formation
preprint

The gap between surfaces, not the body size, switches fusion in a pattern-forming chemical medium

Илья Владимиров
preprint en
1 citations

Abstract

A reaction-diffusion medium with an uneven, striped supply is used to ask what decides whether two blobs of pattern fuse into one. Enumerating all positions modulo the stripe period gives 144 phase classes and nine distinct local supplies. At a fixed supply the bridge of chemical between the bodies decides the outcome (logistic slope 6.09, z 5.8 at radius 6; 4.85, z 2.7 at radius 3), with the supply-fusion association carrying the opposite sign at the smaller body. The surface-to-surface gap switches fusion (share 0.00 at a 12-cell gap, 0.19 at 10, 0.40 at 9, 0.83 and 0.96 at 8) while the body size shifts it by about a tenth. Replacing runs by worlds leaves an AUC at 0.652 to 0.660 but moves a deviance drop from 20.7 to 14.3, inside that test's own bar of 20, so the unit of observation has to be checked per statistic.

Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Dynamics and Pattern Formation
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon