# Correlated percolation patterns in PEF damaged cellular material

Source: [Correlated percolation patterns in PEF damaged cellular material](<https://www.sota2.com/research/paper/68fa1e2f7a2b558e293207d3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T17:06:32.971Z

Authors: N. I. Lebovka, M. I. Bazhal, E. I. Vorobiev

Published: 2000-05-16T07:27:55.000Z

## Abstract

We present results of numerical and experimental investigation of the electric breakage of a cellular material in pulsed electric fields (PEF). The numerical model simulates the conductive properties of a cellular material by a two-dimensional array of biological cells. The application of an external field in the form of the idealised square pulse sequence with a pulse duration $t\_{i}$, and a pulse repetition time $\\Delta t$ is assumed. The simulation model includes the known mechanisms of temporal and spatial evolution of the conductive properties of different microstructural elements in a tissue. The kinetics of breakage at different values of electric field strength $E$, $t\_{i}$ and $\\Delta t$ was studied in experimental investigation. We propose the hypothesis for the nature of tissue properties evolution after PEF treatment and consider this phenomena as a correlated percolation, which is governed by two key processes: resealing of cells and moisture transfer processes inside the cellular structure. The breakage kinetics was shown to be very sensitive to the repetition times $\\Delta t$ of the PEF treatment. We observed correlated percolation patterns in a case when $\\Delta t$ exceeds the characteristic time of the processes of moisture transfer and random percolation patterns in other cases. The long-term mode of the pulse repetition times in PEF treatment allows us to visualize experimentally the macroscopic percolation channels in the sample.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0005252>)

[PDF](<https://arxiv.org/pdf/cond-mat/0005252.pdf>)