Abstract
We show experimentally that the route to rheochaos in shear rate relaxation measurements is via Type-III intermittency and mixed mode oscillations in the shear-thinning wormlike micellar system of cetyltrimethylammonium tosylate in the presence of salt sodium chloride. Depolarised small angle light scattering measurements performed during flow show that scattered intensity temporally follows the shear rate/stress dynamics and portrays the crucial role played by nematic ordering. Direct visualization of the gap of the Couette cell, illuminated by an unpolarised laser sheet, in the (vorticity, velocity gradient) plane shows that the spatiotemporal dynamics of the shear induced structures is closely related to the temporal behaviour of shear rate/stress fluctuations.
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References
N.A. Spenley, M.E. Cates, T.C.B. McLeish, Phys. Rev. Lett. 71, 939 (1993)
R. Makhloufi, J.P. Decruppe, A. Ait-Ali, R. Cressly, Europhys. Lett. 32, 253 (1995)
R.W. Mair, P.T. Callaghan, Europhys. Lett. 36, 719 (1996)
R. Bandyopadhyay, G. Basappa, A.K. Sood, Phys. Rev. Lett. 84, 2022 (2000)
R. Bandyopadhyay, A.K. Sood, Europhys. Lett. 56, 447 (2001); P. Fisher, Rheol. Acta. 39, 234 (2000)
A.S. Wunenburger, A. Colin, J. Leng, A. Armed, D. Roux, Phys. Rev. Lett. 86, 1374 (2001)
J.-B. Salmon, A. Colin, D. Roux, Phys. Rev. E. 66, 031505 (2002)
L. Courbin, P. Panizza, J.-B. Salmon, Phys. Rev. Lett. 92, 018305 (2004)
D. Lootens, H. Van Damme, P. Hébraud, Phys. Rev. Lett. 90, 178301 (2003)
M.R. López-Gonzaleź, W.M. Holmes, P.T. Callaghan, P.J. Photinos, Phys. Rev. Lett. 93, 268302 (2004)
W.M. Holmes, M.R. López-Gonzaleź, P.T. Callaghan, Europhys. Lett. 64, 274 (2003)
J.-B. Salmon, S. Manneville, A. Colin, Phys. Rev. E. 68, 051504 (2003)
A. Aradian, M.E. Cates, Europhys. Lett. 70, 397 (2005)
S.M. Fielding, P.D. Olmsted, Phys. Rev. Lett. 92, 084502 (2004)
B. Chakrabarti, M. Das, C. Dasgupta, S. Ramaswamy, A.K. Sood, Phys. Rev. Lett. 92, 055501 (2004)
M. Das, B. Chakrabarti, C. Dasgupta, S. Ramaswamy, A.K. Sood, Phys. Rev. E 71, 021707 (2005)
S. Lerouge, M. Argentina, J.P. Decruppe, Phys. Rev. Lett. 96, 088301 (2006)
R. Ganapathy, A.K. Sood, Phys. Rev. Lett. 96, 108301 (2006)
E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993)
N. Kumar, Deterministic Chaos, Complex Chance Out of Simple Necessity (University Press, India, 1996)
Y. Pomeau, P. Manneville, Commun. Math. Phys. 74, 189 (1980)
R. Bandyopadhyay, A.K. Sood, Langmuir 19, 3121 (2003)
E. Helfand, G.H. Fredrickson, Phys. Rev. Lett. 62, 2468 (1989)
S.T. Milner, Phys. Rev. Lett. 66, 1477 (1991)
M. Doi, A. Onuki, J. Phys. II France 2, 1631 (1992)
S.M. Fielding, P.D. Olmsted, Eur. Phys. J. E 11, 65 (2003)
V. Schmitt, C.M. Marques, F. Lequeux, Phys. Rev. E. 52, 4009 (1995)
P.D. Olmsted, Europhys. Lett. 48, 339 (1999)
I.A. Kadoma, J.W. van Egmond, Phys. Rev. Lett. 76, 4432 (1996)
I.A. Kadoma, J.W. van Egmond, Phys. Rev. Lett. 80, 5679 (1998)
M. Dubois, M.A. Rubio, P. Berge, Phys. Rev. Lett. 51, 1446 (1983)
D.Y. Tang, J. Pujol, C.O. Weiss, Phys. Rev. A 44, R35 (1991)
P. Berge, Y. Pomeau, C. Vidal, Order Within Chaos (Hermann, Paris, 1984)
L. Bécu, S. Manneville, A. Colin, Phys. Rev. Lett. 93, 018301 (2004)
V. Petrov, K. Stephen Scott, K. Showalter, J. Chem. Phys. 97, 6191 (1992)
Movies of spatiotemporal shear band dynamics during Type-II intermittency and mixed mode oscillations (see websites: http://www.physics.iisc.ernet.in/~asood/TypeII_Intermittency.avi http://www.physics.iisc.ernet.in/~asood/Mixed Mode.mpg and www.epj.org)
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Ganapathy, R., Majumdar, S. & Sood, A.K. Spatiotemporal dynamics of shear induced bands en route to rheochaos. Eur. Phys. J. B 64, 537–542 (2008). https://doi.org/10.1140/epjb/e2008-00207-9
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DOI: https://doi.org/10.1140/epjb/e2008-00207-9