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February 8, 20260 citationsOpen Access

Self-diffusion in ferrogranulates : Stockmayer model revisited

OBOksana BilousKOKirill A. OkruginALAli Lakkis

Key Points

  • The study aims to explore how various factors influence self-diffusion in a mixed system of dipolar and non-polar particles.
  • Conducted a numerical study of a quasi-two-dimensional mixed system.
  • Performed cluster analysis to investigate structural organization.
  • Evaluated self-diffusion quantitatively under varying conditions.
  • Isolated magnetic particles show Gaussian diffusion at all concentrations without magnetic induction.
  • At longer time scales, the system enters a crowding-dominated diffusive regime.
  • The diffusion exponent and non-Gaussianity change systematically with particle area fraction.

Abstract

We present a systematic numerical study of a quasi-two-dimensional mixed system composed of Stockmayer-type dipolar particles and purely repulsive non-polar particles. By combining detailed cluster analysis with a quantitative evaluation of self-diffusion, we demonstrate how the interplay between particle area fraction, dipolar interactions, and an out-of-plane magnetic induction governs the structural organisation and dynamical behaviour of the mixture. We show that, in the absence of induction, isolated magnetic particles diffuse essentially in a Gaussian manner across all concentrations. At longer time scales, by contrast, the system enters a crowding-dominated diffusive regime, in which both the diffusion exponent and the non-Gaussianity vary monotonically with area fraction. Our findings provide a framework for interpreting diffusion phenomena in ferrogranular materials and pave the way for future experimental verification, particularly regarding induction-controlled cooling of non-magnetic components.

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Cite This Study

Bilous et al. (2026) studied this question.

synapsesocial.com/papers/698827670fc35cd7a8846223https://doi.org/10.15495/epub_ubt_00008864
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