Inhomogeneous field theory inside the arctic circle

Mean field theory of inhomogeneous fluid mixtures

Innovation in the Arctic: Squaring the Circle

Innovation and entrepreneurship are prominent buzz words in the modern lexicon, reflective of the knowledge economy in which we now dwell. While the possibilities in a world of big data, robotics, and the internet of everything seem endless, they do indeed have limits. Cities, it has become routine to point out, are the harbingers of innovation, and attract creative people who develop and apply...

An arctic circle theorem for Groves

In earlier work, Jockusch, Propp, and Shor proved a theorem describing the limiting shape of the boundary between the uniformly tiled corners of a random tiling of an Aztec diamond and the more unpredictable ‘temperate zone’ in the interior of the region. The so-called arctic circle theorem made precise a phenomenon observed in random tilings of large Aztec diamonds. Here we examine a related c...

Hydrodynamic self-consistent field theory for inhomogeneous polymer melts.

We introduce a mesoscale technique for simulating the structure and rheology of block-copolymer melts and blends in hydrodynamic flows. The technique couples dynamic self-consistent field theory with continuum hydrodynamics and flow penalization to simulate polymeric fluid flows in channels of arbitrary geometry. We demonstrate the method by studying phase separation of an ABC triblock copolyme...

Dynamical mean-field theory for strongly correlated inhomogeneous multilayered nanostructures

Dynamical mean field theory is employed to calculate the properties of multilayered inhomogeneous devices composed of semi-infinite metallic lead layers coupled via barrier planes that are made from a strongly correlated material (and can be tuned through the metal-insulator Mott transition). We find that the Friedel oscillations in the metallic leads are immediately frozen in and do not change...