Approaches for Modeling Magnetic Nanoparticle Dynamics

Chaotic dynamics of a magnetic nanoparticle.

We study the deterministic spin dynamics of an anisotropic magnetic particle in the presence of a magnetic field with a constant longitudinal and a time-dependent transverse component using the Landau-Lifshitz-Gilbert equation. We characterize the dynamical behavior of the system through calculation of the Lyapunov exponents, Poincaré sections, bifurcation diagrams, and Fourier power spectra. I...

Design and validation of magnetic particle spectrometer for characterization of magnetic nanoparticle relaxation dynamics

The design and validation of a magnetic particle spectrometer (MPS) system used to study the linear and nonlinear behavior of magnetic nanoparticle suspensions is presented. The MPS characterizes the suspension dynamic response, both due to relaxation and saturation effects, which depends on the magnetic particles and their environment. The system applies sinusoidal excitation magnetic fields v...

Critical dynamics of an interacting magnetic nanoparticle system

Critical dynamics of an interacting magnetic nanoparticle system 2 Abstract. Effects of dipole-dipole interactions on the magnetic relaxation have been investigated for three Fe-C nanoparticle samples with volume concentrations of 0.06, 5 and 17 vol%. While both the 5 and 17 vol% samples exhibit collective behavior due to dipolar interactions, only the 17 vol% sample displays critical behavior ...

Nanoparticle Synthesis For Magnetic Hyperthermia

Multiscale Modeling and Asymptotics Approaches for Analyzing Neural Network Dynamics

How neurons coordinate in complex networks to achieve their function? Answering this question has relied on experimental approaches such as functional imaging, electrophysiology, microscopy imaging, but surprisingly, what is now really missing, to make sense of the data is analytical methods, modeling, complex simulations and analysis. Studying responses of neurons while accounting for their ge...