The dynamics of vortex structures and states of current in plasma-like fluids and the electrical explosion of conductors: II. Computer experiment

Abstract

For pt.I see ibid, vol.26, p.6635 (1993). In the present paper which is the second in a series, the dynamics of non-equilibrium phase transitions and states of current in electrophysical systems providing an external circuit and a nonlinear element, the model of which has been developed in the first paper of the series (in the development of the model local kinetic transport coefficients were assumed to be constant), has been analysed and simulated. A non-equilibrium 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 types of circuit have been determined. Non-equilibrium phase transitions induced by external harmonic noise with a random or deterministic phase have been studied. The detuning between the external noise frequency and natural frequencies of a nonlinear element determined by large-scale hydrodynamic fluctuations have been shown to give rise to random oscillations, which are typical of a strange attractor. When the frequencies coincide, a limit cycle appears in the system, which is characterized by the fact that the phase trajectory does not fill the phase space completely.