Conditins for the Time Dissipative Structure Formation at Nonequilibrium Transitions

Authors A.V. Dvornichenko1, A.A. Vasilyev1, V.О. Kharchenko2
Affiliations 1 Sumy State University, 2, Rimsky-Korsakov str., 40007 Sumy, Ukraine
2 Institute of Applied Physics, National Academy of Science of Ukraine, 58, Petropavlovskaya str., 40030 Sumy, Ukraine
Е-mail [email protected]
Issue Volume 3, Year 2011, Number 2
Dates Received 01 February 2011, in final form 13 February 2011, published online 02 April 2011
Citation A.V. Dvornichenko, A.A. Vasilyev, V.О. Kharchenko, J.Nano- Electron. Phys. 3 No2, (2011) (English version in progress)
PACS Number(s) 05.45. – a, 05.70. – a, 89.75.Fb, 02.30.Oz
Keywords Nonequilibrium phase transition, Dissipative structure, Hopf bifurcation, Limit cycle, Order parameter (3) .
We discuss processes of the dissipative structure formation when the nonequilibrium phase transition takes place. The model is considered under assumptions that dispersion of the relaxation time of the order parameter and influence of the external force present. It was found that self-organization occurs through the Hopf bifurcation and results in the dissipative structure formation. Analysis was performed according to the Lyapunov and Floquet exponent investigation. It was found that the complex picture of ordering with two reentrant Hopf bifurcations occurs.

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