9 papers
Curvature-induced smectic-C order of tangentially anchored hard spherocylinders on a sphere with a rigidly locked director field
Jonathan Washburn, Hartmut Löwen, Elshad Allahyarov
We study the strict locked-orientation limit of hard spherocylinders on a sphere, in which the rod axes are rigidly locked to a prescribed tangential director field and cannot reor…
A Noble-Gas-Centered Coordinate for Within-Period Atomic Property Trends
Jonathan Washburn, Megan Simons, Elshad Allahyarov
We introduce a single dimensionless landscape function , , on the noble-gas-centred coordinate , an…
The d'Alembert Inevitability Theorem
Jonathan Washburn, Milan ZlatanoviÄ, Elshad Allahyarov
We study functions satisfying the composition law with a symmetric polynomial combiner . We prove that symmetry together with a quadratic degree boun…
A Complete Derivation of the Fermion Spectrum from the Recognition Composition Law
Jonathan Washburn, Elshad Allahyarov
We present a first-principles derivation of the masses of all twelve known fermions -- three charged leptons, six quarks, and three neutrinos -- and the fine-structure constant $α…
Matching Rules as Cocycle Conditions: Discrete Potentials on Penrose and Canonical Projection Tilings
Sebastian Pardo-Guerra, Jonathan Washburn, Elshad Allahyarov
Aperiodic tilings support two classically studied but hitherto separately presented structures: matching rules, which enforce global order via local constraints, and height functio…
Nonlinear ferroelectric characteristics of barium titanate nanocrystals determined via a polymer nanocomposite approach
Qiong Li, Elshad Allahyarov, Tianxiong Ju +2
The growing demand for high energy storage materials has garnered substantial attention towards lead-free ferroelectric nanocrystals (NCs), such as BaTiO3 (BTO), for next-generatio…