Identification: CC1.01
Identification: CC1.02
Identification: A1.01
Identification: NN1.01
Cellular networks are ubiquitous in nature. Most engineered materials are polycrystalline microstructures composed of a myriad of small grains separated by grain boundaries, thus comprising cellular networks. The grain boundary character distribution (GBCD) is an empirical distribution of the relative length (in 2D) or area (in 3D) of interface with a given lattice misorientation and normal. During the coarsening, or growth, process, an initially random grain boundary arrangement reaches a steady state that is strongly correlated to the interfacial energy density. In simulation, if the given energy density depends only on lattice misorientation, then the steady state GBCD and the energy are related by a Boltzmann distribution. This is among the simplest non-random distributions, corresponding to independent trials with respect to the energy. Why does such simplicity emerge from such complexity?
Here we describe an entropy based theory which suggests that the evolution of the GBCD satisfies a Fokker-Planck Equation, an equation whose stationary state is a Boltzmann distribution. The properties of the evolving network that characterize the GBCD must be identified and appropriately upscaled or 'coarse-grained'. This entails identifying the evolution of the statistic in terms of the recently discovered Monge-Kantorovich-Wasserstein implicit scheme. The undetermined diffusion coefficient or temperature parameter is found by means of a convex optimization problem reminiscent of large deviation theory.
Joint work with K. Barmak (Columbia), M. Emelianenko (George Mason). Y. Epshteyn (Utah), R. Sharp (Globys), and S. Ta'asan (CMU)
Identification: W1.01
Perovskites are the wonder compounds of materials science, with examples of ferromagnets, ferroelectrics, multiferroics, superconductors, semiconductors, ion conductors, insulators and, most recently, highly efficient photovoltaics. This talk will address the chemical and physical factors that make these materials, and in particular hybrid organic-inorganic halide perovskites, unique.
Recently, we have been addressing the success of methylammonium lead iodide in solar cells from atomistic and electronic structure modelling [1-3]. The hybrid material satisfies the basic optoelectronic criteria essential for an active photovoltaic layer (spectral response with light electron and hole effective masses). Relativistic and many-body corrections are shown to be essential to describing the electronic band structure. In addition, the system is structurally and compositionally flexible with large dielectric constants, and the ability to alloy on each of the three perovskite lattice sites.
One anomalous behaviour of hybrid perovskite solar cells is hysteresis in the photovoltaic current-voltage response, which we demonstrate has a contribution from the orientational disorder of the methylammonium cations. The rotation-libration of the molecular dipoles results in a rich domain structure that is sensitive to both temperature and the external electric field.
1. F. Brivio, A. B. Walker and A. Walsh, APL Materials 1, 042111 (2013)
2. J. M. Frost, K. T. Butler, F. Brivio, C. H. Hendon, M. van Schilfgaarde and A. Walsh, Nano Letters, 14, 2584 (2014)
3. F. Brivio, K. T. Butler, A. Walsh and M. van Schilfgaarde, Physical Review B 89, 115204 (2014)
Identification: XX1.03
Identification: A1.02
Identification: AAA1.01
Identification: D1.02
Identification: FF1.03