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Thermal crumpling of perforated two-dimensional sheets.

David Yllanes1,2,3, Sourav S Bhabesh4,5, David R Nelson6

  • 1Department of Physics and Soft Matter Program, Syracuse University, Syracuse, NY, 13244, USA. dyllanes@syr.edu.

Nature Communications
|November 11, 2017
PubMed
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Researchers explored thermalized elastic membranes, finding that perforations can tune crumpling transitions. The critical temperature depends on the removed area fraction, not hole specifics, suggesting a new pathway to study membrane crumpling.

Area of Science:

  • Soft matter physics
  • Polymer physics
  • Materials science

Background:

  • Thermalized elastic membranes without self-avoidance are theorized to crumple when bending stiffness equals thermal fluctuation energy (kT).
  • Real-world membranes typically possess high bending stiffness, preventing experimental access to the crumpling regime.
  • Altering membrane geometry and topology offers a potential mechanism to tune the crumpling transition onset.

Purpose of the Study:

  • To investigate a novel mechanism for tuning the crumpling transition in elastic membranes.
  • To determine if perforations can effectively lower the critical temperature for crumpling.
  • To analyze the relationship between perforation geometry and the critical temperature.

Main Methods:

  • Extensive molecular dynamics simulations were performed on perforated elastic membranes.

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  • A dense, periodic array of holes was introduced into the membrane sheets.
  • The critical temperature for the crumpling transition was analyzed as a function of perforation characteristics.
  • Main Results:

    • The critical temperature for crumpling was found to be controlled by the total fraction of removed area.
    • The precise arrangement and size of individual holes did not influence the critical temperature.
    • Critical exponents for the perforated membranes were consistent with those of standard crumpling transitions.

    Conclusions:

    • Perforating elastic membranes provides a viable method to tune the onset of the crumpling transition.
    • The observed universality suggests that the crumpling transition in perforated membranes shares fundamental characteristics with standard crumpling.
    • This work opens new avenues for experimentally accessing and studying membrane crumpling phenomena.