Short-Range Correlation Models in Electronic Structure Theory by Matthew Bryant Goldey Doctor of Philosophy in Chemistry University of California, Berkeley Professor Martin Head-Gordon, Chair Correlation methods within electronic structure theory focus on recovering the exact electronelectron interaction from the mean-field reference. For most chemical systems, including dynamic correlation, th...

The Hohenberg-Kohn density functional was long ago shown to reduce to the Thomas-Fermi (TF) approximation in the non-relativistic semiclassical (or large-Z) limit for all matter, i.e., the kinetic energy becomes local. Exchange also becomes local in this limit. Numerical data on the correlation energy of atoms support the conjecture that this is also true for correlation, but much less relevant...

We study four-point correlation functions with logarithmic behaviour in Liouville field theory on a sphere, which consist of one kind of the local operators. We study them as non-integrated correlation functions of the gravitational sector of two-dimensional quantum gravity coupled to an ordinary conformal field theory in the conformal gauge. We also examine, in the (p, q) minimal conformal fie...

Fluctuation-induced transport in a correlation ratchet driven by both additive Gaussian white and additive Ornstein-Uhlenbeck (colored) noise is studied numerically and interpreted against theoretical predictions. The current, as well as the current-load curve, exhibits a different behavior depending on the scaling of the colored noise strength. This archetypal correlation ratchet is capable of...