Structure of fluctuating thin sheets under random forcing

Chanania Steinbock, Eytan Katzav, Arezki Boudaoud

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We propose a mathematical model to describe the athermal fluctuations of thin sheets driven by the type of random driving that might be experienced prior to weak crumpling. The model is obtained by merging the Föppl-von Kármán equations from elasticity theory with techniques from out-of-equilibrium statistical physics to obtain a nonlinear strongly coupled φ4-Langevin field equation with a spatially varying kernel. With the aid of the self-consistent expansion (SCE), this equation is analytically solved for the structure factor of a fluctuating sheet. In contrast to previous research which has suggested that the structure factor follows an anomalous power law, we find that the structure factor in fact obeys a logarithmically corrected rational function. Numerical simulations of our model confirm the accuracy of our analytical solution.

Original languageAmerican English
Article number033096
JournalPhysical Review Research
Volume4
Issue number3
DOIs
StatePublished - Jul 2022

Bibliographical note

Publisher Copyright:
© 2022 authors. Published by the American Physical Society.

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