Dynamics of viscoelastic membranes

by: Alex J Levine, FC Mackintosh

Physical Review E, Vol. 66, No. 6. (18 December 2002), 061606.

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摘要

We determine both the in-plane and out-of-plane dynamics of viscoelastic membranes separating two viscous fluids in order to understand microrheological studies of such membranes. We demonstrate the general viscoelastic signatures in the dynamics of shear; bending; and compression modes. We show that these modes remain independent in the presence of hydrodynamic interactions. The full response functions for motion both in-plane and out-of-plane are derived for the general case of viscoelastic films in contact with arbitrary viscous fluids. Specifically; we derive closed-form expressions for the in-plane longitudinal and transverse response functions for viscous membranes embedded in fluid media. We also find a screening of the otherwise two-dimensional character of the response to point forces due to the presence of the solvent.

@article{citeulike:1707038, abstract = {We determine both the in-plane and out-of-plane dynamics of viscoelastic membranes separating two viscous fluids in order to understand microrheological studies of such membranes. We demonstrate the general viscoelastic signatures in the dynamics of shear; bending; and compression modes. We show that these modes remain independent in the presence of hydrodynamic interactions. The full response functions for motion both in-plane and out-of-plane are derived for the general case of viscoelastic films in contact with arbitrary viscous fluids. Specifically; we derive closed-form expressions for the in-plane longitudinal and transverse response functions for viscous membranes embedded in fluid media. We also find a screening of the otherwise two-dimensional character of the response to point forces due to the presence of the solvent.}, author = {Levine, Alex J. and Mackintosh, F. C. }, citeulike-article-id = {1707038}, doi = {http://dx.doi.org/10.1103/PhysRevE.66.061606}, journal = {Physical Review E}, keywords = {interface, microrheology, theory, two-point}, month = {December}, number = {6}, pages = {061606+}, posted-at = {2007-09-29 04:08:20}, priority = {3}, publisher = {American Physical Society}, title = {Dynamics of viscoelastic membranes}, url = {http://dx.doi.org/10.1103/PhysRevE.66.061606}, volume = {66}, year = {2002} }

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TY - JOUR ID - citeulike:1707038 L3 - citeulike-article-id:1707038 N2 - We determine both the in-plane and out-of-plane dynamics of viscoelastic membranes separating two viscous fluids in order to understand microrheological studies of such membranes. We demonstrate the general viscoelastic signatures in the dynamics of shear; bending; and compression modes. We show that these modes remain independent in the presence of hydrodynamic interactions. The full response functions for motion both in-plane and out-of-plane are derived for the general case of viscoelastic films in contact with arbitrary viscous fluids. Specifically; we derive closed-form expressions for the in-plane longitudinal and transverse response functions for viscous membranes embedded in fluid media. We also find a screening of the otherwise two-dimensional character of the response to point forces due to the presence of the solvent. IS - 6 JF - Physical Review E TI - Dynamics of viscoelastic membranes PB - American Physical Society VL - 66 SP - 061606 KW - interface KW - microrheology KW - theory KW - two-point AU - Levine, Alex AU - Mackintosh, FC PY - 2002/12/18/ UR - http://dx.doi.org/10.1103/PhysRevE.66.061606 ER -

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