A stochastic switch with different phases

We describe an analog stochastic switch that exhibits three distinct phases as its parameters change. The phases are classified by the mean and variance of the switch’s output. A phase change appears if the mean or the variance tends to a finite value or to infinity. The switch can be embedded in a...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2019-08, Vol.29 (8), p.083107-083107
Main Authors: Lipan, Ovidiu, Wu, Emily
Format: Article
Language:English
Subjects:
Phase transitions
Phases
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Summary:We describe an analog stochastic switch that exhibits three distinct phases as its parameters change. The phases are classified by the mean and variance of the switch’s output. A phase change appears if the mean or the variance tends to a finite value or to infinity. The switch can be embedded in a large gene regulatory network for which the moment equations naturally close at the second order. This switch was used to model the response of a heat-shock system.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.5096778