DOI: https://doi.org/10.30970/jps.03.415
FIELD REPRESENTATION OF STOCHASTIC SYSTEM WITH ABSORBING STATES
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Journal of Physical Studies 3(4), 415–421 (1999)
DOI: https://doi.org/10.30970/jps.03.415 FIELD REPRESENTATION OF STOCHASTIC SYSTEM WITH ABSORBING STATES |
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D. O. Kharchenko
Sumy State University
2 Ryms'kyi-Korsakov Str., Sumy, UA-40007, Ukraine
For a stochastic system with an arbitrary multiplicative noise a generating functional scheme is used. Evolution of system states on a surface of canonical pair $x$ as more probably magnitudes of hydrodynamic mode amplitude and $ϕ$ as conjugated momentum is explored. According to time dependencies of $x$, $ϕ$ the system fractal dimension in spaces $(x,t)$ and $(x,ϕ)$ is obtained. Using probability of trajectories realization on phase surface a nature of absorbing states appearing is determined.