Stretched-Exponential Aging Governs Nonequilibrium Precipitate Patterns
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917255000883200 |
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| author | Morris, Amari Steinbock, Oliver |
| author_facet | Morris, Amari Steinbock, Oliver |
| contents | 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 $β$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07183 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stretched-Exponential Aging Governs Nonequilibrium Precipitate Patterns Morris, Amari Steinbock, Oliver Pattern Formation and Solitons 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 $β$ 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. |
| title | Stretched-Exponential Aging Governs Nonequilibrium Precipitate Patterns |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2602.07183 |