Transition disorder–order–disorder in reaction-diffusion biophysical system
The evolution of spatial pattern formation, which arises in the biophysical system of reaction-diffusion type in external noise, is researched analytically. The behavior of the probability density of the order parameter, its mean and the most probable values, susceptibility and second-order cumulant...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-09-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20838/17097 |
| Summary: | The evolution of spatial pattern formation, which arises in the biophysical system of reaction-diffusion type in external noise, is researched analytically. The behavior of the probability density of the order parameter, its mean and the most probable values, susceptibility and second-order cumulant as a function of external noise intensity are studied in the statistically steady state. The boundary of transition “order-disorder” is defined. It is shown that there is a sequence of noise-induced ordering and disordering transitions in this system. |
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| ISSN: | 1991-8615 2310-7081 |