73 citations · 211 across the 7 of their papers we have counts for
7 papers
Coarse-graining and quantitative stochastic homogenization of parabolic equations in high contrast
Aidan Lau
We prove quantitative homogenization results for high contrast parabolic equations with random coefficients depending on both space and time. In particular, we prove that under a s…
Stochastic homogenization of coarse-grained elliptic equations
Aidan Lau
We prove quenched stochastic homogenization for divergence-form elliptic equations, under the assumption that the coefficients are stationary, ergodic, integrable, and satisfy a co…
Microscopic Theory of the Magnetic Susceptibility of Insulators
Alistair H. Duff, Aidan Lau, J. E. Sipe
We present a general theory of the magnetic susceptibility of insulators that can be extended to treat spatially varying and finite frequency fields. While there are existing resul…
Counterion Condensation and Fluctuation-Induced Attraction
A. W. C. Lau, P. Pincus
We consider an overall neutral system consisting of two similarly charged plates and their oppositely charged counterions and analyze the electrostatic interaction between the two…
Novel Electrostatic Attraction from Plasmon Fluctuations
A. W. C. Lau, Dov Levine, P. Pincus
In this Letter, we show that at low temperatures, zero-point fluctuations of the plasmon modes of two mutually coupled 2-D planar Wigner crystals give rise to a novel long-range at…
Binding of Oppositely Charged Membranes and Membrane Reorganization
A. W. C. Lau, P. Pincus
We consider the electrostatic interaction between two rigid membranes, with different surface charge densities of opposite sign, across an aqueous solution without added salt. Exac…
Charge-Fluctuation-Induced Non-analytic Bending Rigidity
A. W. C. Lau, P. Pincus
In this Letter, we consider a neutral system of mobile positive and negative charges confined on the surface of curved films. This may be an appropriate model for: i) a highly char…