Dhananjay Ipparthi | Searcharxiv

arXiv2018

Kinetics of 2D-constrained orbitally-shaken particles

We present an experimental study of the kinetics of orbitally-shaken macroscopic particles confined to a two-dimensional bounded domain. Discounting the forcing action of the external periodic actuation, the particles show translational velocities and diffusivity consistent with a confined random walk model. Such experimental system may therefore represent a suitable macroscopic analog to investigate aspects of molecular dynamics and self-assembly.

cond-mat.soft↗

arXiv2015

Dipole Codes Attractively Encode Glue Functions

Dipole words are sequences of magnetic dipoles, in which alike elements repel and opposite elements attract. Magnetic dipoles contrast with more general sets of bonding types, called glues, in which pairwise bonding strength is specified by a glue function. We prove that every glue function $g$ has a set of dipole words, called a dipole code, that attractively encodes $g$: the pairwise attractions (positive or non-positive bond strength) between the words are identical to those of $g$. Moreover, we give such word sets of asymptotically optimal length. Similar results are obtained for a commonly used subclass of glue functions.

cs.FL↗