%0 Book Section %1 statphys23_1062 %A Aradian, A. %A Cates, M.E. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K banding chaos dynamical flow instability rheochaos shear spatiotemporal statphys23 system topic-7 %T Minimal model for chaotic shear banding in shear-thickening fluids %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1062 %X We present a minimal model for spatiotemporal oscillation and rheochaos in shear-thickening complex fluids at zero Reynolds number. In the model, a tendency towards inhomogeneous flows in the form of shear bands combines with a slow structural dynamics, modeled by delayed stress relaxation. We study the nonequilibrium ``phase diagram'' of the fluid as a function of a steady mean (spatially averaged) stress, and of the relaxation time for structural relaxation. We find several distinct regions of periodic behavior (oscillating bands, traveling bands, and more complex oscillations) and also regions of spatiotemporal rheochaos. A low-dimensional truncation of the model retains the important physical features of the full model including rheochaos. Our model maps onto the FitzHugh-Nagumo model for neural network dynamics, with an unusual form of long-range coupling.

@incollection{statphys23_1062, abstract = {We present a minimal model for spatiotemporal oscillation and rheochaos in shear-thickening complex fluids at zero Reynolds number. In the model, a tendency towards inhomogeneous flows in the form of shear bands combines with a slow structural dynamics, modeled by delayed stress relaxation. We study the nonequilibrium ``phase diagram'' of the fluid as a function of a steady mean (spatially averaged) stress, and of the relaxation time for structural relaxation. We find several distinct regions of periodic behavior (oscillating bands, traveling bands, and more complex oscillations) and also regions of spatiotemporal rheochaos. A low-dimensional truncation of the model retains the important physical features of the full model including rheochaos. Our model maps onto the FitzHugh-Nagumo model for neural network dynamics, with an unusual form of long-range coupling.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Aradian, A. and Cates, M.E.}, biburl = {https://www.bibsonomy.org/bibtex/257d10153b709a215cbb06dd2040e1cea/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {1873f09a6628d94e19217fb3e3228744}, intrahash = {57d10153b709a215cbb06dd2040e1cea}, keywords = {banding chaos dynamical flow instability rheochaos shear spatiotemporal statphys23 system topic-7}, month = {9-13 July}, timestamp = {2007-06-20T10:16:38.000+0200}, title = {Minimal model for chaotic shear banding in shear-thickening fluids}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1062}, year = 2007 }