Aggregate networks

We note that our data is composed from observations made at a variety of individual connection points. In principle, similar, aggregated networks can be constructed by aggregating border data from a variety of smaller enterprises, assuming that political obstacles can be overcome. Similar collection and analysis facilities, albeit on a smaller scale, are described by Fullmer and Romig, 2000. 

Marangoni, A.G. 2000. Elasticity of high-volume-fraction fractal aggregate networks A thermodynamic approach. Phys. Rev. B. 62, 13951-13955. 

Buscall, R., Mills, P.D.A., Goodwin, J.W., and Lawson, D.W. (1988). Scaling behaviour of the rheology of aggregate networks formed from colloidal particles. J. Chem. Soc., Faraday... 

Aggregate networks give low and nonimiform density distributions formed by the clustering of aggregates. In this case, a solution is prepared imder conditions where a solid phase is precipitated out in a... 

En Energy dissipation rate to break the aggregate network, W... 

Stress required to break the aggregate network. Pa Static yield stress. Pa Tangential components of stress. Pa Stress dissipated due to viscous drag. Pa Stress tensor... 

This theory was first developed for colloidal aggregate networks and was later adapted to fat crystal networks (52-54). In colloidal systems (with a disordered distribution of mass and statistical self-similar patterns), the mass of a fractal aggregate (or the distribution of mass within a network), M, is related to the size of the object or region of interest (R) in a power-law fashion ... 

Elasticity of Fractal Aggregate Networks Mechanical Arguments... 

The structural network of many soft viscoelastic materials of industrial interest is the product of an aggregation process of molecules into particles and of particles into increasingly larger clusters, until a space-illling three-dimensional network is formed (Fig. 1). Macroscopic properties such as hardness, opacity, and structural stability are directly influenced by this underlying network. Of particular importance is the relationship between network structure and elastic properties. Mathematical formulations for the relationship of the elastic modulus of an aggregate network to the amount and spatial distribution of network mass have been... 

Fig. 2. Putative microstructure of a fractal colloidal aggregate network.

In conclusion, exact relationships between the Young s modulus and the microstructure of particulate aggregate networks have been obtained. The elastic properties of such materials are a function of the total amount of solid material present, the properties of the particles which make up the solid, and the spatial distribution of solid particles within the network. This model can be utilized to better understand and modify the macroscopic rheological properties of soft materials and fat crystal networks in particular. 

Buscall, R., P.D.A. Mills, J.W. Goodwin, and D.W. Lawson, Scaling Behaviour of the Rheology of Aggregated Networks Formed from Colloidal Particles, J. Chem Soc. Faraday Trans. 1 84 4249-4260 (1988). 

It is more difficult to envision that the H-6A-H-2, 4, 5 cross peak displayed in Figure 7b resulted from an interresidue interaction. Calculations show that both C-6 protons are 5-8 A removed from H-2, H-4, and H-5 of the successive residue. However, an 0-4-0-6 intertriplex hydrogen bond that exists in the solid state of curdlan 15, 16) may also persist in 0.1 M NaOD and yield an NOE cross peak resulting from a H-6-H-4 interaction between helices in an aggregated network structure. 

Proteins sensitive to surface denaturation. Monoglycerides forming gel phases by partial crystallization (a-gels). Fat particles able to form aggregated networks at the air-water interface More or less permanent 50-85% dispersed phase 100-800% overrun Bread, meringue, shortenings... 

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