Large tip solution to dynamic Langevin equation for MPI

Abstract

Here our large-angle physical model of the Langevin equation with magneto-viscous relaxation has been found to agree quite well with the results of a Monte Carlo simulation for dynamic particle behavior in a magnetic field. Furthermore, the magneto-viscous relaxation time constant predicted through this model has been shown to agree with experimental data. Such a model to describe magneto-viscous relaxation effects is important because it allows an optimized selection of magnetic excitation strengths, excitation waveform, and nanoparticle properties. Furthermore, a better understanding of magneto-viscous relaxation may allow the option of deconvolving its effect from the final image to achieve to improve spatial resolution.