Fractional dynamics and emissive activity of geosystems
© V.N. Shuman, 2016
Some particular problems and nonstandard ideas, reflecting uptodate state of nonlinear dynamic approach to the studies of
geosystems are under consideration. Attention is concentrated on the mechanisms of generation of the widerange, in general case,
fractal spectrum of spontaneous seismoacoustic and electromagnetic emissions of lithosphere. The leading role of criticality fronts of
different nature in their generation is mentioned. Fundamental characrer of fluctuationdissipative theorem connecting spontaneous
fluctuations of the system with its dissipative properties is accentuated. Well known definitions of the fields of spontaneous emissions
of the time, more adequate from the viewpoint of their physical interpretation and possibilities of modeling are being generalized. In this
case, seismoelectromagnetic activity is associated with uninterrupted in time transitional process, which is called transitional dispersion
with nonstationary activity of geomedium, its metastable state and sequence of such states. Necessary generalizations are reached
by synthesis of fractal dynamics and fractal geometry that provides new possibilities of their selfconsistent description. Fractal
parabolic equation of spontaneous electromagnetic emission written down in generalized (fractal) derivatives by temporal and
spatial variables is under consideration. An important class of localized oscillatory (fracton) excitation of the system is under
discussion, which are coordinated with its (the system) fractal structure and which are analogous to ordinary in case of nd
regular geometry, which can have neatly seismic, seismoelectromagnetic or electromagnetic nature.
Key words: spontaneous emission, transitional processes, fractal equation of generation, fracton excitations,
fractal structure, transitional dispersion.
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