4 papers
Tight Bounds for Tight Links: Ropelength of T(Q,Q) torus links
Alexander R. Klotz
Ropelength, L, is a parameter characterizing the minimum contour length of a knot or link. There exist upper and lower bounds on ropelength with respect to crossing number, C, incl…
Dynamics of polymers in coarse-grained nematic solvents
Zahra Valei, Karolina Wamsler, Alex J. Parker +3
Polymers are a primary building block in many biomaterials, often interacting with anisotropic backgrounds. While previous studies have considered polymer dynamics within nematic s…
Chirality Effects in Molecular Chainmail
Alexander R. Klotz, Caleb J. Anderson, Michael S. Dimitriyev
Motivated by the observation of positive Gaussian curvature in kinetoplast DNA networks, we consider the effect of linking chirality in square lattice molecular chainmail networks…
Borromean Hypergraph Formation in Dense Random Rectangles
Alexander R. Klotz
We develop a minimal system to study the stochastic formation of Borromean links within topologically entangled networks without requiring the use of knot invariants. Borromean lin…