TY - JOUR
T1 - Stochastic transitions in the Schlögl reaction model with nonextensive statistical noise and Gaussian white noise
AU - Guo, Peirong
AU - Xu, Wei
AU - Wang, Haiyan
AU - Mei, Ruoxing
N1 - Publisher Copyright:
© 2018 World Scientific Publishing Company.
PY - 2018/12/20
Y1 - 2018/12/20
N2 - In this paper, we investigate the stochastic transitions in a bistable Schlögl chemical reaction subjected to a nonextensive statistical noise (NESN) and a Gaussian white noise. The NESN is a correlated noise, and able to describe heavy-tailed noise distributions with certain deviation degree relative to Gaussian colored noise. With a unified-colored noise approximation method, the theoretical results of the steady state probability density function (PDF) and mean first passage time (MFPT) are obtained to demonstrate the influences of NESN. The validity of theoretical results has been confirmed by numerical simulations of the PDFs. Besides, stochastic P-bifurcation is discovered based on the changing of PDFs. The results show that the NESN will keep the conversion rate of substrate and the generation rate of products in the low state. Finally, from the MFPT, we find that the intensity and deviation degree of NESN, and Gaussian noise intensity can decrease the switching time between two states.
AB - In this paper, we investigate the stochastic transitions in a bistable Schlögl chemical reaction subjected to a nonextensive statistical noise (NESN) and a Gaussian white noise. The NESN is a correlated noise, and able to describe heavy-tailed noise distributions with certain deviation degree relative to Gaussian colored noise. With a unified-colored noise approximation method, the theoretical results of the steady state probability density function (PDF) and mean first passage time (MFPT) are obtained to demonstrate the influences of NESN. The validity of theoretical results has been confirmed by numerical simulations of the PDFs. Besides, stochastic P-bifurcation is discovered based on the changing of PDFs. The results show that the NESN will keep the conversion rate of substrate and the generation rate of products in the low state. Finally, from the MFPT, we find that the intensity and deviation degree of NESN, and Gaussian noise intensity can decrease the switching time between two states.
KW - Gaussian white noise
KW - nonextensive statistical noise
KW - Schlögl reaction model
KW - Stochastic transitions
UR - http://www.scopus.com/inward/record.url?scp=85058822319&partnerID=8YFLogxK
U2 - 10.1142/S0217979218503496
DO - 10.1142/S0217979218503496
M3 - 文章
AN - SCOPUS:85058822319
SN - 0217-9792
VL - 32
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
IS - 31
M1 - 1850349
ER -