The model of the electromagnetic waves interaction with small particles and clusters is proposed in the case when the dielectric permittivity of the material depends both on the electric and magnetic fields. We consider the class of the differential equations solutions that is obtained in the framework of the model and allows take into account the geometric structure of the small dispersed particles or clusters. The motion and precipitation of water clusters in narrow tubes is investigated by molecular dynamics methods.
mathematical modeling, differential equations on graphs, clusters, nanoparticles, molecular dynamics methods.
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