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arXiv · 1909.13268

Universal behaviors in the wrinkling transition of disordered membranes

O. Coquand·K. Essafi·J. -P. Kownacki·D. Mouhanna
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Abstract

The wrinkling transition experimentally identified by Mutz et al. [Phys. Rev. Lett. 67, 923 (1991)] and then thoroughly studied by Chaieb et al. [Phys. Rev. Lett. 96, 078101 (2006)] in partially polymerized lipid membranes is reconsidered. One shows that the features associated with this transition, notably the various scaling behaviors of the height-height correlation functions that have been observed, are qualitatively and quantitatively well described by a recent nonperturbative renormalization group (NPRG) approach to quenched disordered membranes by Coquand et al. [Phys. Rev E 97, 030102 (2018)]. As these behaviors are associated with fixed points of RG transformations they are universal and should also be observed in, e.g., defective graphene and graphene-like materials.

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O. Coquand, K. Essafi, J. -P. Kownacki, D. Mouhanna. 2019-09-29. Universal behaviors in the wrinkling transition of disordered membranes. https://doi.org/10.1103/physreve.101.042602

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