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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2012-09-01
|
| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu1049 |
| _version_ | 1830213857860124672 |
|---|---|
| author | V. V. Maksimov |
| author_facet | V. V. Maksimov |
| author_sort | V. V. Maksimov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T06:32:13Z |
| format | Article |
| id | doaj.art-a7b1dffb2db349ba9e5d2d261aa697c1 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-18T06:32:13Z |
| publishDate | 2012-09-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-a7b1dffb2db349ba9e5d2d261aa697c12022-12-21T21:17:53ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-09-013(28)818710.14498/vsgtu1049Transition disorder–order–disorder in reaction-diffusion biophysical systemV. V. MaksimovThe 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.http://mi.mathnet.ru/eng/vsgtu1049 |
| spellingShingle | V. V. Maksimov Transition disorder–order–disorder in reaction-diffusion biophysical system Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Transition disorder–order–disorder in reaction-diffusion biophysical system |
| title_full | Transition disorder–order–disorder in reaction-diffusion biophysical system |
| title_fullStr | Transition disorder–order–disorder in reaction-diffusion biophysical system |
| title_full_unstemmed | Transition disorder–order–disorder in reaction-diffusion biophysical system |
| title_short | Transition disorder–order–disorder in reaction-diffusion biophysical system |
| title_sort | transition disorder order disorder in reaction diffusion biophysical system |
| url | http://mi.mathnet.ru/eng/vsgtu1049 |
| work_keys_str_mv | AT vvmaksimov transitiondisorderorderdisorderinreactiondiffusionbiophysicalsystem |