In this article, we formulate new models for coupled systems of bulk-surface reaction-diffusion equations on stationary volumes. The bulk reaction-diffusion equations are coupled to the surface reaction-diffusion equations through linear Robin-type boundary conditions. We then state and prove the necessary conditions for diffusion-driven instability for the coupled system. Owing to the nature o...

Surface transport, when the particle is allowed to leave the surface, travel in the bulk for some time, and then return to the surface, is referred to as bulk-mediated surface transport. Recently, we proposed a formalism that significantly simplifies analysis of bulk-mediated surface diffusion [A. M. Berezhkovskii, L. Dagdug, and S. M. Bezrukov, J. Chem. Phys. 143, 084103 (2015)]. Here this for...

The existence of stable nanoscopic gaseous domains in liquids, or nanobubbles, has attracted both skepticism and intrigue since classical theory predicts that spherical gas bubbles cannot achieve equilibrium. Can we prove these exist, if they do, how do survive? We critically review contemporary theoretical perspectives the stability surface bulk nanobubbles explain experiments either vindicate...

High-resolution core-level photoemission data from the 1s level of Li~110! have been obtained between 77 and 280 K. Analysis of the data reveals a significant difference in the zero-temperature phonon broadening between the bulk and surface atoms but only a small difference in the effective surface and bulk Debye temperatures. This latter result is in good agreement with an embedded-atom-method...