Tethered membranes far from equilibrium: Buckling dynamics

by: Dorel Moldovan, Leonardo Golubovic

Physical Review E, Vol. 60, No. 4. (October 1999), 4377.

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Abstract

We study the dynamics of the classical Euler buckling of compressed solid membranes. We relate the membrane buckling dynamics to phase ordering phenomena. Membranes develop a wavelike pattern whose wavelength grows; via coarsening; as a power of time. We find that evolving membranes are similar to growing surfaces (“growing interfaces”) whose transverse width grows as a power of time. The morphology of the evolving membranes is characterized by the presence of a network of growing ridges where the elastic energy is mostly localized. We used this fact to develop a scaling theory of the buckling dynamics that gives analytic estimates of the coarsening exponents. Our findings show that the membrane buckling dynamics is characterized by a distinct scaling behavior not found in other coarsening phenomena.

@article{citeulike:2280863, abstract = {We study the dynamics of the classical Euler buckling of compressed solid membranes. We relate the membrane buckling dynamics to phase ordering phenomena. Membranes develop a wavelike pattern whose wavelength grows; via coarsening; as a power of time. We find that evolving membranes are similar to growing surfaces (“growing interfaces”) whose transverse width grows as a power of time. The morphology of the evolving membranes is characterized by the presence of a network of growing ridges where the elastic energy is mostly localized. We used this fact to develop a scaling theory of the buckling dynamics that gives analytic estimates of the coarsening exponents. Our findings show that the membrane buckling dynamics is characterized by a distinct scaling behavior not found in other coarsening phenomena.}, author = {Moldovan, Dorel and Golubovic, Leonardo }, citeulike-article-id = {2280863}, doi = {10.1103/PhysRevE.60.4377}, journal = {Physical Review E}, keywords = {crumpling}, month = {October}, number = {4}, pages = {4377+}, posted-at = {2008-01-23 15:02:06}, priority = {2}, publisher = {American Physical Society}, title = {Tethered membranes far from equilibrium: Buckling dynamics}, url = {http://dx.doi.org/10.1103/PhysRevE.60.4377}, volume = {60}, year = {1999} }

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TY - JOUR ID - citeulike:2280863 L3 - citeulike-article-id:2280863 TI - Tethered membranes far from equilibrium: Buckling dynamics JF - Physical Review E VL - 60 IS - 4 SP - 4377 PB - American Physical Society N2 - We study the dynamics of the classical Euler buckling of compressed solid membranes. We relate the membrane buckling dynamics to phase ordering phenomena. Membranes develop a wavelike pattern whose wavelength grows; via coarsening; as a power of time. We find that evolving membranes are similar to growing surfaces (“growing interfaces”) whose transverse width grows as a power of time. The morphology of the evolving membranes is characterized by the presence of a network of growing ridges where the elastic energy is mostly localized. We used this fact to develop a scaling theory of the buckling dynamics that gives analytic estimates of the coarsening exponents. Our findings show that the membrane buckling dynamics is characterized by a distinct scaling behavior not found in other coarsening phenomena. KW - crumpling AU - Moldovan, Dorel AU - Golubovic, Leonardo PY - 1999/10// UR - http://dx.doi.org/10.1103/PhysRevE.60.4377 ER -

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