53 citations · 84 across the 6 of their papers we have counts for
7 papers
Phase Transition for Discrete Non Linear Schrödinger Equation in Three and Higher Dimensions
Partha S. Dey, Kay Kirkpatrick, Kesav Krishnan
We analyze the thermodynamics of the focusing discrete nonlinear Schrödinger equation in dimensions with general nonlinearity and under a model with two parameters,…
Microtubules as electron-based topological insulators
Varsha Subramanyan, Kay L. Kirkpatrick, Saraswathi Vishveshwara +1
The microtubule is a cylindrical biological polymer that plays key roles in cellular structure, transport, and signalling. In this work, based on studies of electronic properties o…
Analysis of Bose-Einstein condensation times for self-interacting scalar dark matter
Kay Kirkpatrick, Anthony E. Mirasola, Chanda Prescod-Weinstein
We investigate the condensation time of self-interacting axion-like particles in a gravitational well, extending the prior work [arXiv:2007.07438] which showed that the Wigner form…
Relaxation times for Bose-Einstein condensation in axion miniclusters
Kay Kirkpatrick, Anthony E. Mirasola, Chanda Prescod-Weinstein
We study the Bose condensation of scalar dark matter in the presence of both gravitational and self-interactions. Axions and other scalar dark matter in gravitationally bound minic…
Rigorous derivation of the Landau equation in the weak coupling limit
Kay Kirkpatrick
We examine a family of microscopic models of plasmas, with a parameter comparing the typical distance between collisions to the strength of the grazing collisions. These micros…
Derivation of the two dimensional nonlinear Schrodinger equation from many body quantum dynamics
Kay Kirkpatrick, Benjamin Schlein, Gigliola Staffilani
We derive rigorously, for both R^2 and [-L, L]^2, the cubic nonlinear Schrodinger equation in a suitable scaling limit from the two-dimensional many-body Bose systems with short-sc…