Abstract

The influence of a magnetic field on the aggregation process of superparamagnetic colloids has been well known on short time for a few decades. However, the influence of important parameters, such as viscosity of the liquid, has received only little attention. Moreover, the equilibrium state reached after a long time is still challenging on some aspects. Indeed, recent experimental measurements show deviations from pure analytical models in extreme conditions. Furthermore, current simulations would require several years of computing time to reach equilibrium state under those conditions. In the present paper, we show how viscosity influences the characteristic time of the aggregation process, with experimental measurements in agreement with previous theories on transient behaviour. Afterwards, we performed numerical simulations on equivalent systems with lower viscosities. Below a critical value of viscosity, a transition to a new aggregation regime is observed and analysed. We noticed this result can be used to reduce the numerical simulation time from several orders of magnitude, without modifying the intrinsic physical behaviour of the particles. However, it also implies that, for high magnetic fields, granular gases could have a very different behaviour from colloidal liquids.

Highlights

  • The influence of a magnetic field on the aggregation process of superparamagnetic colloids has been well known on short time for a few decades

  • Superparamagnetic colloids are magnetic nanoparticles inserted in a matrix of non-magnetic material to obtain particles with diameter d ranging from 100 nm to a few micrometres

  • More complex structures of superparamagnetic colloids can be obtained by using rotating fields, even possibly leading to microswimmers or tracers of local dynamics[18,19,20,21,22,23,24,25,26,27,28,29,30,31,32]

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Summary

Introduction

The influence of a magnetic field on the aggregation process of superparamagnetic colloids has been well known on short time for a few decades. We show how viscosity influences the characteristic time of the aggregation process, with experimental measurements in agreement with previous theories on transient behaviour. A critical value of viscosity, a transition to a new aggregation regime is observed and analysed We noticed this result can be used to reduce the numerical simulation time from several orders of magnitude, without modifying the intrinsic physical behaviour of the particles. The particles interact with each magnetic interaction between two identical particles other through at distance r is given by www.nature.com/scientificreports/

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