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Numerical methods are developed to solve the problem of abnormal changes ofcurrent (conductivity) in polymer composite films which may be used as current,pressure or temperature sensors. General nonlinear model includes the heatequation, the nonlinear dependence of the resistivity of insulating compositeintervals on temperature, taking into account the dehydrochlorination reaction,the appearance of conducting systems conjugated double bonds, and Ohm's law forfull control circuit net. The property of thermal conductivity equation tosmooth surges of source function allows to resolve the nonlinear closed systemand carry out calculations by successive small time steps. As a result ofnumerical calculations we succeeded to explain and simulate virtually allpreviously seemed anomalous phenomena including spontaneous transitions in thehighly conductive state, the conductivity jumps with temperature change, thedependence on sample thickness, etc.

Self-organization of current channels percolation in polymer composite  films with thermal nonlinearity of conductivity: comparison of experimental  data and computer simulations