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The magnetic field line data used in this visualization is from a simplified static model. More complex models deform the magnetic field over time as the Earth rotates and experiences solar pressures. Many of the field lines (particulary near the back, away from the Sun) should eventually connect (north and south poles), but the 3d model used ...
General purpose, includes 2D and 3D magnetics solvers, both static and harmonic. 3D solver is based on the Whitney AV formulation of Maxwell's equations. VSimEM: Commercial Yes Yes Yes Yes Yes Automatic, variable mesh FDTD, PIC, finite volume: Simulating electromagnetics, and electrostatics in complex dielectric and metallic environments.
A magnetic field is a vector field, but if it is expressed in Cartesian components X, Y, Z, each component is the derivative of the same scalar function called the magnetic potential. Analyses of the Earth's magnetic field use a modified version of the usual spherical harmonics that differ by a multiplicative factor.
The dipole model of the Earth's magnetic field is a first order approximation of the rather complex true Earth's magnetic field. Due to effects of the interplanetary magnetic field (IMF), and the solar wind, the dipole model is particularly inaccurate at high L-shells (e.g., above L=3), but may be a good approximation for lower L-shells. For ...
As such, they are often written as E(x, y, z, t) (electric field) and B(x, y, z, t) (magnetic field). If only the electric field (E) is non-zero, and is constant in time, the field is said to be an electrostatic field. Similarly, if only the magnetic field (B) is non-zero and is constant in time, the field is said to be a magnetostatic field.
The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics.The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or −1).
A video simulation of Earth's magnetic field interacting with the (solar) interplanetary magnetic field (IMF) The plasma in the interplanetary medium is also responsible for the strength of the Sun's magnetic field at the orbit of the Earth being over 100 times greater than originally anticipated.
The Enhanced Magnetic Model (EMM) is a sister product of the NGDC featuring a much higher amount of data to degree and order 790, giving a wavelength of 51 km as opposed to the 3000 km of WMM. At this resolution, it is not only able to model the Earth's magnetic field at the core-mantle boundary ("main field"), but also take into account ...