Nb. Volkov et Am. Iskoldsky, THE DYNAMICS OF VORTEX STRUCTURES AND STATES OF CURRENT IN PLASMA-LIKE FLUIDS AND THE ELECTRICAL EXPLOSION OF CONDUCTORS .2. COMPUTER EXPERIMENT, Journal of physics. A, mathematical and general, 26(23), 1993, pp. 6649-6665
In the present paper which is the second in a series, the dynamics of
non-equilibrium phase transitions and states of current in electrophys
ical systems providing an external circuit and a nonlinear element, th
e model of which has been developed in the first paper of the series (
in the development of the model local kinetic transport coefficients w
ere assumed to be constant), has been analysed and simulated. A non-eq
uilibrium phase transition has been shown to be induced by large-scale
hydrodynamic fluctuations (vortex structures). Critical exponents of
the amplitude's singular behaviour (the order parameters) for three ty
pes of circuit have been determined. Non-equilibrium phase transitions
induced by external harmonic noise with a random or deterministic pha
se have been studied. The detuning between the external noise frequenc
y and natural frequencies of a nonlinear element determined by large-s
cale hydrodynamic fluctuations have been shown to give rise to random
oscillations, which are typical of a strange attractor. When the frequ
encies coincide, a limit cycle appears in the system, which is charact
erized by the fact that the phase trajectory does not fill the phase s
pace completely.