3 citations · 4 across the 2 of their papers we have counts for
9 papers
Stability of highly-twisted Skyrmions from contact topology
Yichen Hu, Thomas Machon
We describe a topological protection mechanism for highly-twisted two-dimensional Skyrmions in systems with Dyloshinskii-Moriya (DM) coupling, where non-zero DM energy density (dub…
Good Fibrations: Packing Rules for Diabolic Domains
Randall D. Kamien, Thomas Machon
We describe a theory of packing hyperboloid 'diabolic' domains in bend-free textures of liquid crystals. The domains sew together continuously, providing a menagerie of bend-free t…
The Godbillon-Vey Invariant as Topological Vorticity Compression and Obstruction to Steady Flow in Ideal Fluids
Thomas Machon
If the vorticity field of an ideal fluid is tangent to a foliation, additional conservation laws arise. For a class of zero-helicity vorticity fields the Godbillon-Vey (GV) invaria…
The Godbillon-Vey Invariant as a Restricted Casimir of Three-dimensional Ideal Fluids
Thomas Machon
We show the Godbillon-Vey invariant arises as a `restricted Casimir' invariant for three-dimensional ideal fluids associated to a foliation. We compare to a finite-dimensional syst…
A Björling Representation for Jacobi Fields on Minimal Surfaces and Soap Film Instabilities
Gareth P. Alexander, Thomas Machon
We develop a general framework for the description of instabilities on soap films using the Björling representation of minimal surfaces. The construction is naturally geometric and…
Inverse Ising inference, hyperuniformity and absorbing states in the Manna model
Thomas Machon
Using inverse Ising inference we show that the absorbing states of the one-dimensional Manna model can be described by an equilibrium model with an emergent interaction displaying…