Aggregation length scale

There are a number of industrial and technological areas in which nanoscale adhesion is important. One of the earliest fields concerned with adhesion on this scale was colloid science. Colloid particles lie in the intermediate region between macro and nano, with dimensions typically of the order of hundreds of nanometers up to a few microns. This means that their true contact areas he well within the nano-domain and are influenced by interactions on this length scale. Adhesion between such particles is important, due to its influence on mineral separation processes and on the aggregation of powders, for example, on the walls of machinery or in the forming of medical tablets. In an extraterrestrial context, such... 

Such long times usually appear when the observed objects are large compared to single atoms, but are still mesoscopic, e.g. polymer molecules or aggregates of smaller molecules, or when dynamic processes at all length scales slow down in the vicinity of phase transitions or due to a glass transition. 

A nanostructured heterogeneous catalyst also involves organization in several other contexts and at several other length scales. The distribution of active sites must be arranged, more often than not, to prevent aggregation under the... 

Although MC is an underutilized tool in the field of computational molecular biophysics, there are beneficial features that can be exploited, especially in conjunction with implicit solvent models. Specifically, MC has the potential of accessing length scales that are inaccessible to MD in complex phenomena like peptide aggregation or conformational sampling of intrinsically disordered proteins. 

In all cases, these aggregates had a uniform diameter of a few nanometers, that is, on the same length scale as the molecular dimensions. Hence, they appeared to be well-defined supramolecular polymers (rather than micellar or vesicular structures) with the propensity to higher-order structure formation. The exact natureofthelatterwasfoundtodependonthenumberofadditionalN—H G=C type hydrogen-bonding sites in the molecules end groups. 

Figure 10.10 Schematic representation of the physical network structure in a carbon-black-filled elastomer [62]. The symbol - indicates elastomer - carbon black adsorption junctions. The length scales in this figure and the EPDM/carbon black volume ratio are fictional. For simplicity, none of the contacting carbon black aggregates, which form agglomerates, have been included...

General Remarks. These equations for the dynamics of a cell mass are in the form of a nonlinear partial integro-differential equation. The nonlocal structure and nonlinearity of the transport term allows for short length scale variation on the order of a cell diamater that models the cellular nature of the aggregate. Equations of a similar form arise in the work of... 

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