We propose a multiscale method to study nanotube-based resonant oscillators. In the multiscale model, nanotubes are modeled via molecular dynamics, while the metal paddle is modeled as a rigid body. The molecular and continuum models are attached to each other through the interfaces on which carbon atoms are located. We employ the concepts of “virtual” atoms and bonds to effectively couple the ...

The paper by Karma and Tourret (this volume) in this special issue focuses on multiscale modeling approaches ranging from atoms to microstructure. In the present one, the most recent and significant modeling contributions dealing with the scale of solidification from microstructure to grain structure are briefly reviewed. The paper also covers modeling of defect formation during the last stage ...

Molecular dynamics (MD) simulations of a Lennard–Jones fluid in an inhomogeneous external field generate steady-state profiles of density and pressure with nanoscopic heterogeneities. The continuum level of mass, momentum, and energy transport balances is capable of reproducing the MD profiles only when the equation of state for pressure as a function of density is extracted directly from the m...

SOLUTION OF LARGE-SCALE SPACE-TIME ESTIMATION PROBLEMS Terrence T. Ho, Paul W. Fieguth, Alan S. Willsky Laboratory for Information and Decision Systems Massachusetts Institute of Technology, Cambridge, MA 02139 ABSTRACT The successful application of a recently developed treebased multiscale estimation framework [1] to large-scale static estimation problems has proven the statistical exibility a...

A multiscale modeling approach is proposed for calculating energies of tilt-grain boundaries in covalent materials from first principles over an entire misorientation range for given tilt axes. The method uses energies from density-functional calculations for a few key structures as input into a disclination structural-units model. This approach is demonstrated by calculating energies of ^001&-...

In-stent restenosis, the maladaptive response of a blood vessel to injury caused by the deployment of a stent, is a multiscale system involving a large number of biological and physical processes. We describe a Complex Automata Model for in-stent restenosis, coupling bulk flow, drug diffusion, and smooth muscle cell models, all operating on different time scales. Details of the single scale mod...

Most industrial and manufacturing processes are inherently multiscale systems. The systematic way of constructing multiscale models, however, is still an open research area. It is well known [1] that a process model is jointly determined by the process system and the modelling goal. Little is known, however, about a systematic way of taking the effect of the modelling goal into account during t...

We describe a range of powerful multiscale analysis methods. We also focus on the pivotal issue of measurement noise in the physical sciences. From multiscale analysis and noise modeling, we develop a comprehensive methodology for data analysis of 2D images, 1D signals (or spectra), and point pattern data. Noise modeling is based on the following: (i) multiscale transforms, including wavelet tr...

Recent multiscale applications require more and more often the coupling of many sub-models, usually originating form different fields of science. Therefore, it is increasingly important to propose an effective description language that can help scientists with different background to co-develop a multiscale application. We propose a Multiscale Modeling Language (MML) i.e. a description language...