Dynamic roughening and fluctuations of dipolar chains

Abstract

Nonmagnetic particles in a carrier ferrofluid acquire an effective dipolar moment when placed in an external magnetic field. This fact leads them to form chains that will roughen due to Brownian motion when the magnetic field is decreased. We study this process through experiments, theory and simulations, three methods that agree on the scaling behavior over 5 orders of magnitude. The RMS width goes initially as $t^{1/2}$, then as $t^{1/4}$ before it saturates. We show how these results complement existing results on polymer chains, and how the chain dynamics may be described by a recent non-Markovian formulation of anomalous diffusion.

4 pages, 3 figures, submitted to Phys. Rev. Lett

References in corpus (1)

• Interaction model for magnetic holes in a ferrofluid layer

Cited by in corpus (17)

• Airy Distribution Function: From the Area Under a Brownian Excursion to the Maximal Height of Fluctuating Interfaces
• Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
• Stylolites: A review
• Generalized Langevin Equation Formulation for Anomalous Polymer Dynamics
• Crossover from normal to anomalous diffusion in field-aligned dipolar systems
• Analytical results for long time behavior in anomalous diffusion
• Tunable interactions between paramagnetic colloidal particles driven in a modulated ratchet potential
• Superfluidity of flexible chains of polar molecules
• Family-Vicsek scaling of detachment fronts in Granular Rayleigh Taylor Instabilities during sedimenting granular/fluid flows
• Compaction dynamics of a magnetized powder
• Tunable diffusion of magnetic particles in a quasi-one-dimensional channel
• Anomalous law of cooling
• The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
• Orientational Dynamics of Fluctuating Dipolar Particles Assembled in a Mesoscopic Colloidal Ribbon
• The induced permittivity increment of electrorheological fluids in an applied electric field in association with chain formation: A Brownian Dynamics simulation study
• Thermal expansion within a chain of magnetic colloidal particles
• Mixing, Ergodicity and the Fluctuation-Dissipation Theorem in complex systems