Dynamics of fluctuating thin sheets under random forcing

Chanania Steinbock, Eytan Katzav

Research output: Contribution to journalArticlepeer-review

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Abstract

We study the dynamic structure factor of fluctuating elastic thin sheets subject to conservative (athermal) random forcing. In Steinbock et al. [Phys. Rev. Res. 4, 033096 (2022)2643-156410.1103/PhysRevResearch.4.033096] the static structure factor of such a sheet was studied. In this paper we recap the model developed there and investigate its dynamic properties. Using the self-consistent expansion, the time-dependent two-point function of the height profile is determined and found to decay exponentially in time. Despite strong nonlinear coupling, the decay rate of the dynamic structure factor is found to coincide with the effective coupling constant for the static properties, which suggests that the model under investigation exhibits certain quasilinear behavior. Confirmation of these results by numerical simulations is also presented.

Original languageAmerican English
Article number025002
JournalPhysical Review E
Volume107
Issue number2
DOIs
StatePublished - Feb 2023

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© 2023 American Physical Society.

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