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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
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A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
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Approaches for modeling magnetic nanoparticle dynamics.

Daniel B Reeves1, John B Weaver2

  • 1Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755.

Critical Reviews in Biomedical Engineering
|October 2, 2014
PubMed
Summary
This summary is machine-generated.

This study reviews models for magnetic nanoparticle magnetization dynamics, crucial for biological probes and therapeutics. Understanding these dynamics aids in comparing simulations with experimental data for advanced applications.

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Area of Science:

  • Biophysics
  • Materials Science
  • Nanotechnology

Background:

  • Magnetic nanoparticles (MNPs) are versatile tools in biology and medicine.
  • Modeling MNP magnetization dynamics is essential for their application as probes and therapeutics.
  • Existing models address Brownian and Neel rotation, crucial for understanding MNP behavior.

Purpose of the Study:

  • To summarize and review various approaches for modeling nanoparticle magnetization dynamics.
  • To provide an overview of theoretical frameworks used in MNP research.
  • To facilitate comparison between theoretical models and experimental observations.

Main Methods:

  • Review of established models like the Stoner-Wohlfarth approach.
  • Discussion of stochastic methods incorporating thermal fluctuations.
  • Explanation of non-equilibrium temperature effects using Fokker-Planck and Langevin equations.

Main Results:

  • Overview of different theoretical approaches for MNP magnetization dynamics.
  • Categorization of models based on physical phenomena (Brownian, Neel, thermal fluctuations).
  • Identification of general approaches (Fokker-Planck, Langevin) for complex temperature effects.

Conclusions:

  • A comprehensive understanding of MNP magnetization dynamics is vital for their use in biomedical applications.
  • Various modeling approaches exist, each with specific strengths and applicable regimes.
  • Simplified models can be derived from general theories for practical implementation and experimental validation.