Based upon mesoscale simulations of binary mixtures with very low surface tension and positive disjoining pressure (frustration), we measure the correlation length of the stress field within the flowing mixture, as a function of the frequency of the applied load. Two scaling regimes are clearly identified, with a sharp crossover between the liquid and solid regions, with exponent -1/2 and -1, respectively. The crossover correlation length is shown to be closely connected to the typical scale of the coherent excitations of the density field, whose collective dynamics is shown to be responsible for non-trivial rheological effects including the emergence of yield stress.
@article{arxiv.1208.0299,
title = {Dynamic crossover length in soft-glassy materials},
author = {R. Benzi and M. Bernaschi and M. Sbragaglia and S. Succi},
journal= {arXiv preprint arXiv:1208.0299},
year = {2013}
}
Comments
This paper has been withdrawn by the authors because we are working on a new paper that provides a better description of the same concept