Percolation

Ryan Latture

Dec. 10th, 2014

Why percolation?


Forest Fires

Diseases

Oil reservoirs

Material Properties

Outline


  • Introduction

  • Modeling percolation in Bravais lattices

  • Recent publications
    • Carbon nanotube dispersions
    • Stretchable metal electrode

Pathways through a porous medium


Image courtesy of D. A. Adams/University of Michigan

Transition occurs at critical threshold


Nan, C-W., Y. Shen, and Jing Ma. Annu. Rev. Mater. Res. 40 (2010): 131-151.

Percolation in Bravias lattices

Percolation in finite lattices

Comparison with Zallen


R. Zallen, The Physics of Amorphous Solids, Wiley-VCH, 2004.

Recent publications

Carbon nanotube dispersions


Kyrylyuk, Andriy V., et al. Nature nanotechnology 6.6 (2011): 364-369.

Carbon nanotube dispersions



Kyrylyuk, Andriy V., et al. Nature nanotechnology 6.6 (2011): 364-369.

Stretchable metal electrode using nanowires


Lee, Phillip, et al. Advanced Materials 24.25 (2012): 3326-3332.

Nanowires on flexible subtrate


Lee, Phillip, et al. Advanced Materials 24.25 (2012): 3326-3332.

Questions?