Predictions of the Pt(8)Ti phase in unexpected systems.

The binary A(8)B phase (prototype Pt(8)Ti) has been experimentally observed in 11 systems. A high-throughput search over all the binary transition intermetallics, however, reveals 59 occurrences of the A(8)B phase: Au(8)Zn(dagger), Cd(8)Sc(dagger), Cu(8)Ni(dagger), Cu(8)Zn(dagger), Hg(8)La, Ir(8)Os(dagger), Ir(8)Re, Ir(8)Ru(dagger), Ir(8)Tc, Ir(8)W(dagger), Nb(8)Os(dagger), Nb(8)Rh(dagger), Nb(8)Ru(dagger), Nb(8)Ta(dagger), Ni(8)Fe, Ni(8)Mo(dagger)*, Ni(8)Nb(dagger)*, Ni(8)Ta*, Ni(8)V*, Ni(8)W, Pd(8)Al(dagger), Pd(8)Fe, Pd(8)Hf, Pd(8)Mn, Pd(8)Mo*, Pd(8)Nb, Pd(8)Sc, Pd(8)Ta, Pd(8)Ti, Pd(8)V*, Pd(8)W*, Pd(8)Zn, Pd(8)Zr, Pt(8)Al(dagger), Pt(8)Cr*, Pt(8)Hf, Pt(8)Mn, Pt(8)Mo, Pt(8)Nb, Pt(8)Rh(dagger), Pt(8)Sc, Pt(8)Ta, Pt(8)Ti*, Pt(8)V*, Pt(8)W, Pt(8)Zr*, Rh(8)Mo, Rh(8)W, Ta(8)Pd, Ta(8)Pt, Ta(8)Rh, V(8)Cr(dagger), V(8)Fe(dagger), V(8)Ir(dagger), V(8)Ni(dagger), V(8)Pd, V(8)Pt, V(8)Rh, and V(8)Ru(dagger) ((dagger) = metastable, * = experimentally observed). This is surprising for the wealth of new occurrences that are predicted, especially in well-characterized systems (e.g., Cu-Zn). By verifying all experimental results while offering additional predictions, our study serves as a striking demonstration of the power of the high-throughput approach. The practicality of the method is demonstrated in the Rh-W system. A cluster-expansion-based Monte Carlo model reveals a relatively high order-disorder transition temperature.

Dimensional dependence of the Stokes-Einstein relation and its violation

We generalize to higher spatial dimensions the Stokes-Einstein relation (SER) as well as the leading correction to diffusivity in finite systems with periodic boundary conditions, and validate these results with numerical simulations. We then investigate the evolution of the high-density SER violation with dimension in simple hard sphere glass formers. The analysis suggests that this SER violation disappears around dimension du = 8, above which it is not observed. The critical exponent associated with the violation appears to evolve linearly in 8 - d, below d = 8, as predicted by Biroli and Bouchaud [J. Phys.: Condens. Matter 19, 205101 (2007)], but the linear coefficient is not consistent with the prediction. The SER violation with d establishes a new benchmark for theory, and its complete description remains an open problem. © 2013 AIP Publishing LLC.

A REPRESENTATIVE OUTSIDER AND THE INCLUSION OF THE OUTSIDER IN ACTS 8:26-40

In Luke’s two volumes, Luke is not interested only in Gentiles and those with high social status but also in the marginalized and those who are outsiders. This dissertation seeks to read Luke’s concern for outsiders and the theme of the inclusion of outsiders in the new kingdom of God in Luke’s narrative of the Ethiopian eunuch’s conversion in Acts 8:26-40. This paper examines the Ethiopian eunuch’s complex identity from the perspectives of the Greco-Roman world, Old Testament (LXX) allusions to the Elijah-Elisha narratives, and Luke’s interpretation of the Isaianic quotation of the Suffering Servant in Acts 8:32-33 (cf. Isaiah 53:7-8). This study pays close attention to the correlations between the theme of outsiders and three key characters in Acts 8:26-40: the Ethiopian eunuch, Philip, and the Suffering Servant. First, Luke depicts the Ethiopian eunuch as the consummate outsider—geographically, morally, socially, ethnically, and in terms of gender—and indicates that the eunuch represents other marginalized outsiders. The eunuch shows no one can prevent outsiders like him from inclusion in the kingdom of God. Second, Luke portrays Philip as a prophet, specifically a prophet like Elijah and Elisha. Philip emulates Elijah and Elisha by reaching out to the outsider (in this instance, the Ethiopian eunuch). Third, Luke presents the Isaianic Suffering Servant as a religious and social outsider and identifies the character with Jesus and the Ethiopian eunuch. The indescribable descendants of the Suffering Servant signify a universally inclusive messianic community and fulfill the outsiders’ inclusion within the people of God as Isaiah prophesied (Isaiah 56:3-8). This thesis finally suggests ways to read the story of the Ethiopian eunuch today and concludes that it is imperative to include those outsiders among us within the community of Jesus’s followers.