We develop a scaling theory of interaction-induced delocalization few-particle states in disordered quantum systems. In the absence interactions, all single-particle are localized $d<3$, while $d \geq 3$ there is critical disorder below which delocalized. hypothesize that such transition occurs for $n$-particle bound $d$ dimensions when $d+n\geq 4$. Exact calculations disorder-averaged Greens f...

We consider linear statistics of the scaled zeros of Dirichlet L– functions, and show that the first few moments converge to the Gaussian moments. The number of Gaussian moments depends on the particular statistic considered. The same phenomenon is found in Random Matrix Theory, where we consider linear statistics of scaled eigenphases for matrices in the unitary group. In that case the higher ...

First-principles particle-in-cell (PIC) simulation is a powerful tool for understanding plasma behavior, but this power often comes at great computational expense. Artificially reducing the ion/electron mass ratio time-honored practice to reduce costs. Usually, severe approximation. However, steady-state collisionless, electrostatic (Vlasov–Poisson) systems, solution with reduced can be scaled ...

The neighbor network in a two-dimensional polydisperse hard-disk fluid with diameter distribution p(sigma) approximately sigma(-4) is examined using constant-pressure Monte Carlo simulations. Graphs are constructed from vertices (disks) with edges (links) connecting each vertex to k neighboring vertices defined by a radical tessellation. At packing fractions in the range 0.24< or =eta< or =0.36...

An empirically scaled version of the explicitly correlated F12 correction to second-order Møller–Plesset perturbation theory (MP2-F12) is introduced. The scaling eliminates need for many most costly terms while reproducing unscaled interaction energy a high degree accuracy. method requires single, basis set dependent factor that determined by fitting test molecules. We present factors cc-pVXZ-F...

We describe the binding of proteins to lipid bilayers in the case for which binding can occur either by adsorption to the lipid bilayer membrane-water interface or by direct insertion into the bilayer itself. We examine in particular the case when the insertion and pore formation are driven by the adsorption process using scaled particle theory. The adsorbed proteins form a two-dimensional "sur...