Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Networks with fourfold connectivity in two dimensions.

Frédéric Tessier1, David H Boal, Dennis E Discher

  • 1Department of Physics, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
Summary

This study simulates C4-symmetric networks, revealing their elastic properties under stress and temperature. The networks exhibit ideal gas or plaquette behavior depending on conditions, with unique responses to tension and compression.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Mechanobiological research fueling the advancement of mechanotherapy and mechanohealth.

Mechanobiology in medicine·2026
Same author

Cell confinement initiates a delayed but heritable loss of chromosomes.

Cell reports·2026
Same author

Cell confinement initiates a delayed but heritable loss of chromosomes.

bioRxiv : the preprint server for biology·2026
Same author

Lipid droplets are rigid and physically suppress phagocytosis, unless cell compression or stretching activates actomyosin.

Molecular biology of the cell·2026
Same author

Clustered macrophages cooperate to eliminate tumors via coordinated intrudopodia.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

Matrix stiffness induces heritable changes in chromosome numbers, consistent with solid tumor heterogeneity.

bioRxiv : the preprint server for biology·2025

Area of Science:

  • Materials Science
  • Statistical Mechanics
  • Computational Physics

Background:

  • Planar C4-symmetric networks are crucial in materials science.
  • Understanding their elastic properties under external stress and thermal fluctuations is essential.
  • Self-avoiding network elements (bonds) attached at fourfold coordinated vertices present unique structural constraints.

Purpose of the Study:

  • To determine the elastic properties of planar, C4-symmetric networks.
  • To investigate network behavior under varying stress (tension/compression) and non-zero temperatures.
  • To compare simulation results with mean-field approximations.

Main Methods:

  • Utilized computational simulations to model network behavior.
  • Employed mean-field approximations for theoretical analysis.

Related Experiment Videos

  • Considered two potential energy models for network elements: Hooke's law springs and flexible tethers (square well potential).

    • Main Results:

    • At high tensions, networks behave like uniform square plaquettes.
    • At high temperatures or compressions, networks mimic an ideal gas.
    • Mean-field models with parallelogram shapes effectively capture behavior under intermediate conditions.
    • Spring networks exhibit unlimited expansion at a specific tension but do not collapse under compression above absolute zero.

    Conclusions:

    • The elastic properties of C4-symmetric networks are highly dependent on applied stress and temperature.
    • Different physical models (plaquette, ideal gas, parallelogram) describe network behavior across various conditions.
    • The distinct behavior under tension and compression highlights the network's structural resilience.