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 |
| _version_ | 1818061057898315776 |
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| author | Valerii V Maksimov |
| author_facet | Valerii V Maksimov |
| author_sort | Valerii 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 | 2024-12-10T13:42:16Z |
| format | Article |
| id | doaj.art-42cb181d8e4a4dd98a7413e653b55644 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:42:16Z |
| 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-42cb181d8e4a4dd98a7413e653b556442022-12-22T01:46:39ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-09-01163818718255Transition disorder–order–disorder in reaction-diffusion biophysical systemValerii V Maksimov0Samara State Transport UniversityThe 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.https://journals.eco-vector.com/1991-8615/article/viewFile/20838/17097reaction-diffusion systemnonequilibrium phase transitionsexternal noiseorder parameters |
| spellingShingle | Valerii V Maksimov Transition disorder–order–disorder in reaction-diffusion biophysical system Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki reaction-diffusion system nonequilibrium phase transitions external noise order parameters |
| 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 |
| topic | reaction-diffusion system nonequilibrium phase transitions external noise order parameters |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20838/17097 |
| work_keys_str_mv | AT valeriivmaksimov transitiondisorderorderdisorderinreactiondiffusionbiophysicalsystem |