In this paper, we demonstrate that this dependence is effectively secured by a multi-scale description of the population.
It involves molecular transformations chemical, physical, and biological with multi-scale description from the submolecular to the macroscopic, and the analysis and synthesis of such systems.
The generalization of this relation to fatigue damage multi-scale description leads to the SN curve fast determination of each considered microstructure.
The need for a multi-scale description of gas solid flows, and on the other hand, the power of particle methods as exploring tools for this purpose, are demonstrated.
In this work, we present a multi-scale description of ring constriction.
Hierarchical methods like DHAC also provide a natural multi-scale description of complexes, subcomplexes and proteins.
Feedback from the comments resulted in more detailed anchor scale descriptions and standardization of descriptions.
Both studies were conducted using English instructions and scale descriptions.
Owing to the multi-scales and strong heterogeneity, description of fracture network systems plays a significant role for a successful fractured reservoir simulation model.
Since then, multi-scale, multi-physics models have been developed, based on advanced computer simulations and aiming at the comprehensive description of all relevant physical and chemical phenomena occurring at length scales from sub-micrometer to meters.
The problems of multi-scales presently considered are those linking continuum level descriptions at two different length scales.
