X-Nico

5 unusual facts about Lorentz force

Chandrasekhar number

The Chandrasekhar number is a dimensionless quantity used in magnetic convection to represent ratio of the Lorentz force to the viscosity.

Cross product

It is also used to describe the Lorentz force experienced by a moving electrical charge in a magnetic field.

In addition to hydrodynamical forces such as pressure and gravity, an element of magnetized fluid also feels the Lorentz force $\boldsymbol J\times\boldsymbol B\ ,$ where $\boldsymbol J$ is the current density and $\boldsymbol B$ is the magnetic field vector.

Particle-in-cell

It is allowed to rescale the number of particles, because the Lorentz force depends only on the charge to mass ratio, so a super-particle will follow the same trajectory as a real particle would.

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The set of equations associated with PIC codes are therefore the Lorentz force as the equation of motion, solved in the so-called pusher or particle mover of the code, and Maxwell's equations determining the electric and magnetic fields, calculated in the (field) solver.

Lepton

It determines the strength of the electric field generated by the particle (see Coulomb's law) and how strongly the particle reacts to an external electric or magnetic field (see Lorentz force).

MEMS magnetic actuator

A MEMS Magnetic Actuator is a device that uses the MEMS process technology to convert an electrical signal (current) into a mechanical output (displacement) by employing the well known Lorentz Force Equation or the theory of Magnetism.