419 citations · 598 across the 26 of their papers we have counts for
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A Nonlinear Transform for the Diagonalization of the Bernoulli-Laplace Diffusion Model and Orthogonal Polynomials
Chjan Lim, William Pickering
The Bernoulli-Laplace model describes a diffusion process of two types of particles between two urns. To analyze the finite-size dynamics of this process, and for other constructiv…
Negative specific heat for quasi-2D vortex structures in electron plasmas: an explicit, closed-form derivation
T. D. Andersen, C. C. Lim
Negative specific heat is a dramatic phenomenon where processes decrease in temperature when adding energy. It has been observed in gravo-thermal collapse of globular clusters. We…
Explicit mean-field radius for nearly parallel vortex filaments in statistical equilibrium
Timothy D. Andersen, Chjan C. Lim
Geophysical research has focused on flows, such as ocean currents, as two dimensional. Two dimensional point or blob vortex models have the advantage of having a Hamiltonian, where…
Energy extremals and Nonlinear Stability in a Variational theory of Barotropic Fluid - Rotating Sphere System
Chjan C. Lim
A new variational principle - extremizing the fixed frame kinetic energy under constant relative enstrophy - for a coupled barotropic flow - rotating solid sphere system is introdu…
Mean field theory and coherent structures for vortex dynamics on the plane
Chjan C. Lim
We present a new derivation of the Onsager-Joyce-Montgomery (OJM) equilibrium statistical theory for point vortices on the plane, using the Bogoliubov-Feynman inequality for the fr…