Abstract We study the problem of Brownian motion in a multiscale potential. The potential is assumed to have $$N+1$$ N + 1 scales (i.e. N small and one macroscale) depend periodically on all scales. show that for nonseparable potentials, i.e. potentials...

Abstract Motivated by the influence of deformation-induced microcracks on effective electrical properties at macroscale, an electro-mechanically coupled computational multiscale formulation for conductors is proposed. The accounts finite deformation processes and a direct extension fundamental theoretical developments presented Kaiser Menzel (Arch Appl Mech 91:1509–1526, 2021) who assume geomet...

The electrochemical oxidation and reduction of decamethylferrocene is demonstrated in supercritical carbon dioxide at a macro gold disc electrode at 100 bar and 313 K. Fast mass transport effects were exhibited and the corresponding steady-state voltammetry was observed at high scan rates. A highly lipophilic room temperature ionic liquid that readily dissolved in supercritical CO(2) with aceto...

The recent availability of very low wear materials that undergo primarily interfacial sliding has enabled studies that more directly probe the fundamental aspects of friction. This paper reports on variable temperature experiments that were conducted with common polymeric and lamellar solid lubricant materials. Friction coefficient consistently increased with decreased temperature well into the...

The next decade will see a rapid evolution of HPC node architectures as power and cooling constraints are limiting increases in microprocessor clock speeds and constraining data movement. Future and current HPC applications will have to change and adapt as node architectures evolve. The application of advanced exascale architecture simulators will play a crucial role for the design and optimiza...

Diffusion processes of particles or energy exhibit a characteristic scaling behavior with space and time. In this contribution, the background of this scaling behavior will be shortly described and its consequences in physics, chemistry, biology and various areas of technology shall be explored. Furthermore, some demonstration experiments for different aspects of diffusion and its scaling behav...

Large-scale integration of high-performance electronic components on mechanically flexible substrates may enable new applications in electronics, sensing and energy. Over the past several years, tremendous progress in the printing and transfer of single-crystalline, inorganic micro- and nanostructures on plastic substrates has been achieved through various process schemes. For instance, contact...

There are important systems—those that couple molecular dynamics with a material’s macroscale behavior or use a Boltzmann particle model to predict large-scale patterns in a fluid flow, for example—that must be modeled on relatively long time or space scales, but the dynamics can be advanced only on short time or space scales. First developed by Yannis Kevrekidis and his collaborators,1–5 patch...