A new multiscale method combined with model order reduction is proposed for flow problems in three-scale porous media. We derive an effective three-scale model that couples a macroscopic Darcy equation, a mesoscopic Stokes-Brinkman equation, and a microscopic Stokes equation. A corresponding three-scale numerical method is then derived using the finite element discretization with numerical quad...

Mesoscopic patterns have been observed to form in thin polymer films undergoing a fast dip-coating process. Though several mechanisms for creating of mesoscopic patterns have been proposed, the mechanism of the evaporation-induced mesoscopic self-organization is not yet fully understood. The paper aims to explain this phenomenon by studying the stability of a thin evaporating film. The analysis...

BACKGROUND Mesoscopic simulation studies the structure, dynamics and properties of large molecular ensembles with millions of atoms: Its basic interacting units (beads) are no longer the nuclei and electrons of quantum chemical ab-initio calculations or the atom types of molecular mechanics but molecular fragments, molecules or even larger molecular entities. For its simulation setup and output...

We present a new transparent monolithic mesoscopic solid-state dye-sensitized solar cell based on trilamellar films of mesoscopic TiO2 nanocrystalline photoanode, a ZrO2 insulating layer and an indium tin oxide counter electrode (ITO-CE), which were screen-printed layer by layer on a single substrate. When the thickness of the ITO-CE was optimized to 2.1 μm, this very simple and fully printable...

The Mesoscopic Mechanics (MeM), as introduced in [5], is relevant to the electron gas confined to two spatial dimensions. It predicts a special way of collective response of correlated electrons to the external magnetic field. The dynamic variable of this theory is a finite-dimensional operator, which is required to satisfy the mesoscopic Schrödinger equation, cf. (2) below. In this article, we...

Meeting the challenge of ensuring dependable and secure logistics systems in changing competitive environments necessitates ongoing adaptation of logistics networks. Therefore, suit-able methods of modeling and simulation are needed to support the adaptation process. The mesoscopic approach presented here eliminates the deficits inherent in both the microscopic and the macroscopic approach to s...

We find that spin polarized disordered Fermi liquids are unstable to the nucleation of superconducting pairing states at mesoscopic scales even in magnetic fields substantially higher than the critical one. We study the probability of finding superconducting pairing states at mesoscopic scales in this limit. We find that the distribution function depends only on the film conductance. The typica...

We consider the low temperature regime of the mesoscopic Kondo problem, and in particular the relevance of a Fermi-liquid description of this regime. Mesoscopic fluctuations of both the quasiparticle energy levels and the corresponding wavefunctions are large in this case. These mesoscopic fluctuations make the traditional approach to Fermi-liquids impracticable, as it assumes the existence of ...

We have conducted a triple-scale simulation of liquid water by concurrently coupling atomistic, mesoscopic, and continuum models of the liquid. The presented triple-scale hydrodynamic solver for molecular liquids enables the insertion of large molecules into the atomistic domain through a mesoscopic region. We show that the triple-scale scheme is robust against the details of the mesoscopic mod...