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20 2 Probing elastic anisotropy from defect dynamics in Langmuir Monolayers α ! 1.00 0.95 0.90 0.85 0.80 0 K S, K B (J) 1 10 -17 10 -18 10 -19 10 -20 10 -21 0 2 "(mM m -1 ) Π (mN m −1 ) 1 2 3 "(mM m -1 Π (mN m ) −1 ) Fig. 2.15. Anisotropy parameter, α, as a function of Π, as obtained from the data in Fig. 2.14. The inset shows the value of the elastic constants KS (), and KB (◦) estimated as described in the text. on the H-aggregates. The known increase of the extension of aggregates with Π (Ignés-Mullol et al., 2005) can therefore justify the observation that splay distortions are increasingly less favorable. In fact, molecules cease to behave as individual monomers at Π 2 mN/m, which may justify the levelling off of the elastic constants at moderate pressures. Nevertheless, this qualitative argument cannot explain why the behavior is so dramatically different even with modest extension of the aggregation. Molecular dynamics simulations could be employed to address these issues (Allen, 1996). 2.6 Conclusions We have studied Langmuir monolayers where defect dynamics can be analyzed in the absence of backflow. As a consequence, differential defect mobilities can be traced back to elastic anisotropy. We have shown that this simplified scenario can be exploited with the aid of a simple model to use dynamical measurements to gain quantitative knowledge of the dependence of rather elusive material parameters, here the elastic constants, on a basic thermodynamic control parameter of the monolayer such as the surface pressure. 3 4 4
Acknowledgments 2.6 Conclusions 21 The work in this chapter has been done in close collaboration with J. Ignés- Mullol and F. Sagués, in particular, the experimental measurements performed on the 8Az3COOH monolayers.
Page 1: Studies of dynamical phenomena in s
Page 5 and 6: Acknowledgements This thesis has be
Page 7 and 8: Contents 1 General introduction . .
Page 9: Contents v 4.6 Conclusions . . . .
Page 12 and 13: 2 1 General introduction gies. In t
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Page 33 and 34: 3 Self-organization and cooperativi
Page 35 and 36: 3.1 Introduction 25 Fluctuating for
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70 4 Membrane-cortex interactions:
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5 General conclusions In this work
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5 General conclusions 115 number of
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A Resum en català El present treba
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A.1 Auto-organització i cooperativ
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A.2 Mesura de l’anisotropia elàs
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A.3 Interaccions de membrana i còr
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A.3 Interaccions de membrana i còr
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B Résumé en Français Ce travail
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B.1 Auto-organisation et coopérati
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B.2 Mesure de anisotropie élastiqu
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B.3 Interactions de membrane et cor
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B.4 Conclusions 135 une perturbatio
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References Alberts, B., Johnson, A.
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REFERENCES 139 Evans, E. (2001). Pr
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REFERENCES 141 Kruse, K., Joanny, J
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REFERENCES 143 Sit, P., Spector, A.
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