Tales from the ArXiv: Low and High Mason Numbers

Here is a new paper on the ArXiv.

Here is a quote from the abstract: In the limit of low Mason number, the dynamical system admits a periodic solution in which the magnetic moment of the swimmer tends to align with the magnetic field. In the limit of large Mason number, the magnetic moment tends to align with the average magnetic field, which is parallel to the axis of rotation.

I operate in the limit of low Mason number, and I claim that this limit is singular.

Naming a Dimensionless Parameter

The June 2016 issue of Physics Today includes a 'Quick Study' on why it is hard to separate two interleaved books.

The phenomenon involves a dimensionless parameter that is now called the "Hercules Number", a term that I invented in a blog entry for the Improbable Research blog. I wrote the line "Restagno and colleagues also fit the data to a curve of force versus a dimensionless amplification parameter –– following the continuum-mechanics tradition of using cute names for dimensionless parameters, let’s call it the "Hercules number" –– that depends on the number of pages, the page thickness, and the size of the overlap region between the books." (I was motivated in part by the "Repunzel number" that Ray Goldstein and his collaborators named in their study of the physics of ponytails.)

The researchers really liked the term "Hercules Number", so they decided to adopt it and use it in their subsequent papers (which I appreciate).

I continue to try to contribute to physics and mathematics with my wit and snark.

Update (6/14/16): I was asked to write about this for the Improbable Research blog.