S.Sh. Rekhviashvili1, O.S. Olkhovik2

1,2 Institute of Applied Mathematics and Automation KBSC RAS (Nalchik, Russia)
1 rsergo@mail.ru

Percolation systems have found diverse applications in electronics, particularly in the development of conductive materials, energy storage and conversion devices, semiconductor components, and sensor technologies. They also play a vital role in fundamental research aimed at understanding electrical conductivity and the magnetic properties of condensed matter.

This article presents a simulation of the electrical behavior of a percolation cluster, taking into account phenomena such as electrical breakdown, resistance, and capacitance. The goal is to characterize a composite material consisting of a dielectric matrix embedded with nanoscale metallic particles.

Within the small-signal approximation, the system’s complex frequency response is evaluated. Under an alternating input signal, the percolation cluster functions as a high-pass filter. In the large-signal regime, the system may exhibit memory effects due to dynamic hysteresis and memristive behavior. In this operational mode, the percolation cluster can be regarded as a fundamental building block for the development of a new class of phase logic devices.

The simulation models were implemented using the TINA-TI circuit simulation software. The results obtained may be applied to the design of logic gates that leverage the memristive properties of percolation clusters, which is especially promising for creating energy- and memory-efficient logic circuits.

Percolation structures also show potential as components in amplitude-sensitive high-pass filters, useful in adaptive or self-learning signal processing systems. The findings suggest that the proposed modeling approach can assist in selecting the parameters of composite materials with tailored electrical properties, for use in sensors, antennas, or microwave components. Moreover, percolation clusters can be integrated into nonlinear electronic elements (e.g., varistors or voltage limiters), accounting for breakdown and hysteresis effects observed in the model.

Rekhviashvili S.Sh., Olkhovik O.S. Modeling of electrical characteristics of a percolation cluster. Achievements of modern radioelectronics. 2025. V. 79. № 11. P. 70–80. DOI: https://doi.org/10.18127/j20700784-202511-08 [in Russian]

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