A tale of tiles -- The Gallery of Nonlinear Science, 19, 041107 (2009)

Force network ensemble for the triangular lattice: A tale of tiles
Brian P. Tighe (1), Adrianne R. T. van Eerd (2), and Thijs J. H. Vlugt (3)
1Universiteit Leiden, 2300 RA Leiden, The Netherlands
2Utrecht University, 3508 TA Utrecht, The Netherlands
3Delft University of Technology, 2628 CA Delft, The Netherlands
Sampling of force networks in the force network ensemble. The animation shows both the force network representation and its reciprocal tiling. Due to local force balance and a conserved stress tensor, the total tiling area is constant, leading to a Gaussian distribution for local stresses. Our prediction based on entropy maximization is in excellent agreement with the numerically obtained local stress distribution.
Chaos 19, 041107 (2009); doi:10.1063/1.3207833
Published 27 October 2009 at http://chaos.aip.org

Category:

Science & Technology

Tags:

• chaos
• nonlinear science
• science
• physics
• force network
• tiles