18 citations · 38 across the 4 of their papers we have counts for
7 papers
A Theory of Magnetization Reversal in Nanowires
Robert S. Maier
Magnetization reversal in a ferromagnetic nanowire which is much narrower than the exchange length is believed to be accomplished through the thermally activated growth of a spatia…
The Effects of Weak Spatiotemporal Noise on a Bistable One-Dimensional System
Robert S. Maier, D. L. Stein
We treat analytically a model that captures several features of the phenomenon of spatially inhomogeneous reversal of an order parameter. The model is a classical Ginzburg-Landau f…
On Crossing Event Formulas in Critical Two-Dimensional Percolation
Robert S. Maier
Several formulas for crossing functions arising in the continuum limit of critical two-dimensional percolation models are studied. These include Watts's formula for the horizontal-…
Algebraic Solutions of the Lamé Equation, Revisited
Robert S. Maier
A minor error in the necessary conditions for the algebraic form of the Lamé equation to have a finite projective monodromy group, and hence for it to have only algebraic solutions…
On reducing the Heun equation to the hypergeometric equation
Robert S. Maier
The reductions of the Heun equation to the hypergeometric equation by polynomial transformations of its independent variable are enumerated and classified. Heun-to-hypergeometric r…
Noise-Activated Escape from a Sloshing Potential Well
Robert S. Maier, D. L. Stein
We treat the noise-activated escape from a one-dimensional potential well of an overdamped particle, to which a periodic force of fixed frequency is applied. We determine the bound…