Absorbing State Phase Transition
Updated 2026-08-09
INTRODUCTION
English translation pending.
CORE DEFINITION
An absorbing state phase transition describes a system that contains a state, such as extinction of a disease or a species, that once entered can never be left. The core claim is that when the spreading rate falls below a critical threshold the system necessarily falls into the absorbing state, while above it the system remains active indefinitely. The qualification is that this sharp threshold is a property of the infinite-system limit, so finite systems show fluctuations around it.
SCAFFOLDING EFFECT
Reduce cognitive load
- Irreversible Endpoint: In a startup or a gamble, bankruptcy is the absorbing state, and avoiding it outranks every other goal. - Stay Active: As long as the system remains active there is still a chance to recover, so survival comes first. - Permanent Exit: Crossing into the absorbing state ends the game permanently, which is why risk rules are written to prevent it.
Anchor fast decisions
The system has an absorbing state with no exit, so the density of the active phase changes abruptly as a control parameter crosses a critical value. Below the threshold the active phase decays to nothing, and above it activity persists, as in percolation and epidemic spreading thresholds.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- en.wikipedia.orghttps://en.wikipedia.org/wiki/Directed_percolationverified
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