Abstract

On the basis of a previously developed model of disperse systems containing non-point dipole particles self-assembled into chains inside a liquid substrate, the decay time of electrical excitations induced in dipoles by an external field is investigated. It was shown that when the external field is completely turned off (from V / m to V / m levels) at biologically significant low frequencies (for example, 13 Hz), the decay time of the excitations of nanoscale dipoles nonlinearly depends on the chain length. It was found that the decay time of excitations increases sharply (by four to five orders of magnitude), with an increase in the chain length more than 19–20 dipoles.

Highlights

  • Let us set the parameters for model equations: the strength of the external field is E = 10−0 − 10−5 ; the dipole radii are r = 10 − 100 nm; the relaxation time of bound charges in the shells is τ = 1.6 × 10−5 s; for dielectric permeability the maximum low-frequency value is ε = 650 and minimum high-frequency value is ε ∞ = 8; the number of charges at the ends of the dipoles is β = 1 induced in the electric field with unit strength; the dissipation parameter is ξ = 10−0, and m = 1.6 × 10−27 kg

  • For heterogeneous systems in the nanoscale region the most interesting characteristics of responses are at the low frequencies Ω1 = 8 Hz, Ω2 = 13 Hz and Ω3 = 20 Hz

  • The numerical calculations show that the decay of the excitation of electric dipoles occurs after the low-frequency field of any intensity has been switched off

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Summary

Introduction

The dipole chains can be quickly formed from individual polar colloidal particles [19,20] with induced variable moments under the action of external electric fields at low frequencies.

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