Structure of fluctuating thin sheets under random forcing

Chanania Steinbock

doi:10.1103/PhysRevResearch.4.033096

Structure of fluctuating thin sheets under random forcing

2022-08-02

4

OA

AI

DOI：10.1103/PhysRevResearch.4.033096

Original

Original request for help

Save

Abstract

En 中文

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 Foppl-von Karman equations from elasticity theory with techniques from out-of-equilibrium statistical physics to obtain a nonlinear strongly coupled phi(4)-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.

Keywords:

STATISTICAL-MECHANICS

GRAPHENE

ROUGHNESS

EQUATION

RIDGES

Structure of fluctuating thin sheets under random forcing

Abstract

Journal

Organization