Математична модель процесу резонансного поглинання енергії електромагнітного поля при обробітку насіння сільськогосподарських культур
DOI:
https://doi.org/10.31548/Keywords:
mathematical model, magnetic resonance, electromagnetic field, pre-sowing seed treatment, Bloch equations, magnetisation vector, magnetic susceptibilityAbstract
The article presents the results of theoretical studies on the development of a mathematical model of the process of resonant absorption of electromagnetic field energy by agricultural crop seeds. The model is based on F. Bloch’s phenomenological theory of magnetic resonance, according to which a system of microparticles is described through its macroscopic characteristics — the magnetisation vector as the sum of magnetic moments per unit volume of the substance. A test seed sample of 100 g, with electrophysical parameters that are uniform across the volume and constant over time, is treated as a physical point with an averaged value of magnetic susceptibility, which corresponds to real conditions of seed treatment without unpacking the bag containers. Based on the quantitative content and magnetic properties of the elements and molecules of a plant cell, the macroscopic characteristic of the system is determined — the magnetisation vector M = 13.125 mA/m at the longitudinal constant magnetic field intensity H = 625 A/m. The interaction of the magnetisation vector with the longitudinal constant and transverse alternating magnetic fields is analysed, and the conditions for the occurrence of magnetic resonance are substantiated, under which the oscillation frequency of the alternating magnetic field coincides with the precession frequency of the magnetisation vector. On this basis, a system of Bloch equations is formed to describe the process of resonant absorption of electromagnetic field energy in the seed material. The proposed model provides a theoretical foundation for establishing rational modes of pre-sowing electromagnetic seed treatment that ensure maximum energy absorption at minimum energy expenditure and contribute to improving seed sowing qualities and the productivity of agricultural crops.
Recieved: 14.04.2026. Recieved: 16.06.2026. Accepted: 22.06.2026
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