# Energy barriers in three-dimensional micromagnetic models and the physics of thermoviscous magnetization

@article{Fabian2018EnergyBI, title={Energy barriers in three-dimensional micromagnetic models and the physics of thermoviscous magnetization}, author={Karl Fabian and V. P. Shcherbakov}, journal={Geophysical Journal International}, year={2018} }

A first principle micromagnetic and statistical calculation of viscous remanent magnetization (VRM) in an ensemble of cubic magnetite pseudo single-domain particles is presented. This is achieved by developing a fast relaxation algorithm for finding optimal transition paths between micromagnetic local energy minima. It combines a nudged elastic band technique with action minimization. Initial paths are obtained by repetitive minimizations of modified energy functions. For a cubic pseudo-single…

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## References

SHOWING 1-10 OF 31 REFERENCES

### Three-dimensional micromagnetic calculations for magnetite using FFT

- Physics
- 1996

SUMMARY
An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of…

### Magnetic blocking temperatures of magnetite calculated with a three‐dimensional micromagnetic model

- Geology
- 1997

We present an analysis of thermal stability of magnetic remanence in fine grains of magnetite (grain size d = 15–120 nm). In order to model incoherent transitions between single-domain (SD) and…

### Three-dimensional micromagnetic calculations for naturally shaped magnetite: Octahedra and magnetosomes

- Materials Science
- 2005

### Statistical theory of weak field thermoremanent magnetization in multidomain particle ensembles

- Physics
- 2003

SUMMARY
A non-equilibrium statistical theory of multidomain thermoremanent magnetization (TRM) is developed, which describes thermal magnetization changes as continuous inhomogeneous Markov…

### Simulated annealing of three‐dimensional micromagnetic structures and simulated thermoremanent magnetization

- Engineering
- 1994

This paper deals with the application of simulated annealing to rock magnetism. The implementation of the algorithm is discussed in detail. It is shown that the technique can be used to determine…

### Three-dimensional micromagnetic modelling of ferromagnetic domain structure

- GeologyNature
- 1989

The fidelity of magnetic recording materials (whether they be synthetic crystals on a recording tape, or natural crystals in rocks recording changes in the Earth's magnetic field) depends on the…

### Calculation of the energy barriers in strongly interacting many-particle systems

- Physics
- 1998

A numerical method which allows the evaluation of the energy barrier height between any two metastable states in a many-particle system with continuous degrees of freedom and arbitrary interparticle…

### Superparamagnetic relaxation times for mixed anisotropy and high energy barriers with intermediate to high damping: 1. Uniaxial axis in a 〈001〉 direction

- Physics
- 2006

The Néel‐Brown theory for superparamagnetic relaxation rates is generalized to ferromagnetic particles with mixed cubic and uniaxial anisotropy. In this article the uniaxial axis is in a 〈001〉…

### MERRILL: Micromagnetic Earth Related Robust Interpreted Language Laboratory

- GeologyGeochemistry, geophysics, geosystems : G(3)
- 2018

Complex magnetic domain structures and the energy barriers between them are responsible for pseudo‐single‐domain phenomena in rock magnetism and contribute significantly to the magnetic remanence of…