# Stretched-Exponential Aging Governs Nonequilibrium Precipitate Patterns

Source: [Stretched-Exponential Aging Governs Nonequilibrium Precipitate Patterns](<https://www.sota2.com/research/paper/698abbb4c97a0b3e3b5de092>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-11T05:00:04.179Z

Authors: Amari Morris, Oliver Steinbock

Published: 2026-02-06T20:38:16.000Z

## Abstract

Localized growth in driven materials is often governed by intermittent failure, yet how a material's history biases failure sites remains poorly understood. Using pause-restart experiments on chemical precipitate membranes, we quantify the probability of age-dependent breaching. We show that the kinetics follow a stretched-exponential aging law with parameters that obey one-parameter scaling. As the system approaches a critical concentration, the stretching exponent $\\beta$ tends to zero, signaling a crossover to scale-free, power-law behavior. A stochastic cellular automaton based on this aging rule reproduces the emergent filaments and their concentration-dependent thickening. Our findings identify aging-controlled failure with long-lived but decaying memory as a general route to pattern formation in far-from-equilibrium systems.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2602.07183>)

[PDF](<https://arxiv.org/pdf/2602.07183.pdf>)