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Curriculum Vitae - APC - Université Paris Diderot-Paris 7

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well by measuring, for instance, the variations of the particle current at the outlet as a function<br />

of the particledensity and the particle speed. After having characterized the stability of the<br />

ordered unidirectional traffic, we will be ready to address the question of the emergence of<br />

collective motion in absence of any external bias in a periodic network. We will then move on<br />

to the ultimate goal of this project. We will devise random fluidic-networks (using the same<br />

technique as in V.2.2), and will check whether spontaneous correlated motion can arise in<br />

such disordered media. To do so, we will most certainly begin with the simple geometries<br />

sketched in Fig. 7C and 7D, namely: (i) tree-networks (loop free) and (ii) random obstacle<br />

networks. Finally, we note that all the questions addressed for the traffic of driven droplets in<br />

disordered networks would deserve to be addressed in the case of motile particles: what is the<br />

escape-time distribution, and obviously can traffic jams form spontaneously and yield<br />

network congestion. The tasks we have briefly described in this proposal are obviously the<br />

very first steps toward a long-term and ambitious research program.<br />

Figure 7. A-Traffic of active rollers on microfluidic square lattice. B- Dipolar pertubation induced by a motile<br />

particle moving in a homogeneous fluidic network. The flow disturbance results from the local perturbation of<br />

the channel conductivity by the mobile particle.<br />

4.6. Bibliography<br />

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microcirculatory abnormalities in septic patients: a prospective validation study. Crit Care, 9(6), R601–R606,<br />

2005.<br />

[3] DR Link, SL Anna, DA Weitz, and HA Stone. Geometrically mediated breakup of drops in microfluidic<br />

devices. Phys. Rev. Lett., 92(5), 54503, 2004. (2000).<br />

[4] RE Goldstein, I Tuval, and JW Van De Meent. Microfluidics of cytoplasmic streaming and its implications<br />

for intracellular transport. Proceedings of the National Academy of Sciences, 105(10), 3663, 2008.<br />

[5] J.-P Bouchaud et A Georges. Anomalous diffusion in disordered media - statistical mechanisms, models and<br />

physical applications. Phys. Rep., 195 (4-5) pp. 127-293, 1990<br />

[6] M Belloul, W Engl, A Colin, P Panizza, and A Ajdari. Competition between local collisions and collective<br />

hydrodynamic feedback controls traffic flows in microfluidic networks. Phys Rev Lett, 102(19), 194502, Jan<br />

2009.<br />

[7] Michael J Fuerstman, Piotr Garstecki, and George M Whitesides. Coding/decoding and reversibility of<br />

droplet trains in microfluidic networks. Science, 315(5813), 828–832, Jan 2007.<br />

[8] Nicolas Champagne, Romain Vasseur, Adrien Montourcy, and Denis Bartolo. Traffic jams and intermittent<br />

flows in microfluidic networks. Phys Rev Lett, 105(4), 044502, Jan 2010. Nicolas Champagne, Eric Lauga and<br />

Denis Bartolo, Soft Matter, vol. 7 (23) pp. 11082 (2011). Raphael Jeanneret and Denis Bartolo, Hamiltonian<br />

traffic dynamics in microfluidic loop networks, Phys. Rev. Lett., in press 2011.<br />

[9] C Ghidaglia, L de Arcangelis, J Hinch, and E Guazzelli. Transition in particle capture in deep bed filtration.<br />

Phys. Rev. E, 53(4), 3028–3031, 1996. C Ghidaglia, L de Arcangelis, and J Hinch. Hydrodynamic interactions in<br />

deep bed filtration. Physics of Fluids, 8(1), 8–14, Jan 1996.<br />

[10] J Watson and DS Fisher. Collective particle flow through random media. Physical Review B, 54(2), 938–<br />

954, 1996. J. Watson and D. Fisher. Dynamic critical phenomena in channel flow of driven particles in random<br />

media. Physical Review B (1997)<br />

[11] D Helbing. Traffic and related self-driven many-particle systems. Rev. Mod. Phys., 73(4), 1067–1141,<br />

2001.<br />

[12] T Vicsek. Collective motion. Arxiv preprint arXiv : 1010.5017, Jan 2010. F. Ginelli, F. Peruani, M. Bär, H.<br />

Chaté, Phys. Rev. Lett. 104, 184502 (2010) ; F. Ginelli, Hugues Chaté, Phys. Rev. Lett. 105, 168103 (2010)

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