Journal
NATURE COMMUNICATIONS
Volume 8, Issue -, Pages -Publisher
NATURE PORTFOLIO
DOI: 10.1038/s41467-017-01551-y
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Funding
- NSF DMREF program [DMREF-1435794, DMREF-1435999]
- KITP grant [PHY-1125915]
- Harvard Materials Science Research and Engineering Center, via NSF grant [DMR-1420570]
- IGERT [DGE-1068780]
- Syracuse University Soft Matter program
- MINECO (Spain) [FIS2015-65078-C2-1-P]
- FEDER (EU) [FIS2015-65078-C2-1-P]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1435999] Funding Source: National Science Foundation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1435794] Funding Source: National Science Foundation
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Thermalized elastic membranes without distant self-avoidance are believed to undergo a crumpling transition when the microscopic bending stiffness is comparable to kT, the scale of thermal fluctuations. Most potential physical realizations of such membranes have a bending stiffness well in excess of experimentally achievable temperatures and are therefore unlikely ever to access the crumpling regime. We propose a mechanism to tune the onset of the crumpling transition by altering the geometry and topology of the sheet itself. We carry out extensive molecular dynamics simulations of perforated sheets with a dense periodic array of holes and observe that the critical temperature is controlled by the total fraction of removed area, independent of the precise arrangement and size of the individual holes. The critical exponents for the perforated membrane are compatible with those of the standard crumpling transition.
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