Author:
Liashenko Z. M.,Lyashenko I. A.
Abstract
The Lorentz system of equations, in which gradient terms are taken into account, has been solved numerically. Three fundamentally different modes of evolution are considered. In the first mode, the spatial distribution of the order parameter permanently changes in time, and domains of two types with positive and negative order parameter values are formed. In the second mode, the order parameter distribution is close to the stationary one. Finally, in the third mode, the order parameter is identical over the whole space. The dependences of the average area of domains, their number, and their total area on the time are calculated in the first two cases. In the third case, the contribution of gradient terms completely vanishes, and a classical Lorenz attractor is realized.
Publisher
National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka)
Subject
General Physics and Astronomy
Reference34 articles.
1. H. Haken. Synergetics: An Introduction. Nonequilibrium Phase Transition and Self-Organization in Physics, Chemistry, and Biology (Springer, 1978) [ISBN: 978-3-642-96469-5].
2. A.V. Voronov, V.M. Petnikova, V.V. Shuvalov. "Magnetodipole" self-organization of charge carriers in high-Tc superconductors and the kinetics of phase transition. J. Exp. Theor. Phys. 93, 1091 (2001).
3. R. Meucci, F. Salvadori, K.A.M. Al Naimee et al. Attractor selection in a modulated laser and in the Lorenz circuit. Philos. Trans. Royal Soc. A 366, 475 (2008).
4. S.E. Boulfelfel, A.R. Oganov, S. Leoni. Understanding the nature of "superhard graphite". Sci. Rep. 2, 47 (2012).
5. L. Yong, Z.X-. Fang, B.Q-. Sheng. Synchronization and control of autocatalytic chemical reaction in continuous stirring tank reactor. Acta Phys. Sin. 57, 4748 (2008).
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