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Registration Number

0209U010156, 0106U003496 , R & D reports

Title

The theory of phase transitions in stochastic systems

Head

Dmitrii O. Kharchenko,

Registration Date

14-09-2009

Organization

Sumy State University

Description

The entropy-driven mechanism leading to stationary patterns formation in stochastic systems with local dynamics and non-Fickian diffusion have been studied. We have shown that a multiplicative noise fulfilling a fluctuation-dissipation relation is able to induce and sustain stationary structures with its intensity growth. It was found that at small and large noise intensities the system is characterized by unstable homogeneous states. At intermediate values of the noise intensity three types of patterns are possible: nucleation, Spinodal decomposition and stripes with liner defects (dislocations).

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