Geodesic
Transition disorder--order--disorder in reaction-diffusion biophysical system
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 81-87

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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.
Mots-clés : reaction-diffusion system, external noise
Keywords: nonequilibrium phase transitions, order parameters. 
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     author = {V. V. Maksimov},
     title = {Transition disorder--order--disorder in reaction-diffusion biophysical system},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {81--87},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a7/}
}
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V. V. Maksimov. Transition disorder--order--disorder in reaction-diffusion biophysical system. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 81-87. http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a7/