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April 21, 2026Open Access

Closure-Shaped Activation Region in a Gated Accumulation Model

Key Points

This research aims to describe the characteristics of a closure-shaped activation region in a gated accumulation model and its significance in activation mechanisms.
Analyzed the gated accumulation model in the n_pulses × tau_rest plane.
Conducted scans and classified regions based on activation states and internal accumulation values.
Compiled data regarding the gold and active areas for analysis.
Identified an active fraction of approximately 0.137 across the model.
Both gold area and active area were found to be equal at 70 out of 510 total cells.
The right boundary of the activation region declines as tau_rest increases, disappearing at tau_rest = 4.00.

Abstract

This deposit contains a short technical note and supporting scan outputs for a gated accumulation model in the `nₚulses × tauᵣest` plane. The main result is the detection of a compact closure-shaped activation region with a declining right boundary. In this scan, `tauᵣest` is a dimensionless model rest time between pulses, and `max (b) ` is the maximum value of the internal accumulation variable `b` during a single run. A point is classified as `gold` when the pump/drizzle regime is active while hammer-control at the same `tauᵣest` remains inactive. In the present dataset, the gold region and the active region coincide topologically. The scan yields `goldₐrea = 70` and `activeₐrea = 70` out of `totalcells = 510`; the active fraction is about `0. 137`, and `closurefractionₒverₜau` is about `0. 94`. The right edge of the region falls from `lastgoldₙ = 19` at `tauᵣest = 0. 00` to `lastgoldₙ = 2` at `tauᵣest = 3. 75`; at `tauᵣest = 4. 00` the gold region disappears. The `max (b) ` map shows that the binary boundary is supported by a continuous field of accumulation.: contentReferenceoaicite: 0index=0: contentReferenceoaicite: 1index=1 Files included: - main note (`. docx`) - gold regime map- `max (b) ` map- right-boundary plot- full scan table (`drizzleₛcanₘap. csv`) - global metrics summary- README This deposit fixes one local result from this scan: activation in this gated accumulation model forms an ordered closure-shaped region rather than a random set of working points. It does not claim universality of the detected boundary, a general theory of memory, or broad multistability beyond this scan.: contentReferenceoaicite: 2index=2

Closure-Shaped Activation Region in a Gated Accumulation Model

Key Points

Abstract

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