Phase diagram analysis of noise-induced transition in an autocatalytic reaction

18th International Conference PhysicA.SPb

Pham, Tuan Minh^1 ; Virchenko, Yu.P.^1

Belgorod National Research University, 14 Studencheskaya, Belgorod

308015, Russia^1

关键词: Autocatalytic chemical reaction;    Autocatalytic reactions;    Critical surfaces;    Diagram analysis;    Environmental fluctuations;    Multiplicative white noise;    Noise-induced transition;    Three-dimensional parameters;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/769/1/012026/pdf
DOI  :  10.1088/1742-6596/769/1/012026

来源: IOP

【 摘 要 】

We present the analysis of the genetic model of autocatalytic chemical reactions proposed by Arnold et al. This model, when subjected to multiplicative white noise modelling environmental fluctuations, can undergo a sudden change from a unimodal state to a bimodal one, while no such transition occurs if the noise is absent. Here, this noise-induced transition is studied analytically by investigating the so-called critical surface in the three-dimensional parameter space.