Holography, probe branes and isoperimetric inequalities

In many instances of holographic correspondences between a d-dimensional boundary theory and a (. d+. 1)-dimensional bulk, a direct argument in the boundary theory implies that there must exist a simple and precise relation between the Euclidean on-shell action of a (. d-. 1)-brane probing the bulk geometry and the Euclidean gravitational bulk action. This relation is crucial for the consistency of holography, yet it is non-trivial from the bulk perspective. In particular, we show that it relies on a nice isoperimetric inequality that must be satisfied in a large class of Poincaré-Einstein spaces. Remarkably, this inequality follows from theorems by Lee and Wang.

Surface enrichment in gold/silver alloys: effects of temperature studied by atom probe tomography

Bimetallic alloys are increasingly used in heterogeneous catalysis. This interest is explained by the emergence of new features that are absent in the parent single metals. Synergistic effects between the two combined elements create a more efficient catalyst. One of the most challenging aspect of multicomponent materials in catalysis is the ability to fine-tune the catalytic properties of an alloy by controlling the nature and composition of the surface [1]. For example, the gold/silver alloy combines a high activity and a large selectivity for a broad range of oxidation reaction.It is well established that the surface composition of alloys may deviate from that of the bulk phase. Surface enrichment has also important consequences in some applications of heterogeneous catalysis. In some cases, the thermal and chemical treatments can lead to opposite trends regarding the nature of the metal prone to surface enrichment. Using atom probe tomography we aim to link the physicochemical conditions the composition of the very first atomic layers of bimetallic catalysts and eventually to fine-tune the catalytic features of the latter.