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Cite Details

Yi Jiang, Eric Janiaud, Cyril Flament, James Glazier and Francois Graner, " Energy landscape of 2D fluid foams", in Foams, Emulsions and their Applications, P. Zitha, J. Banhart and G. Verbist editors (Verlag MIT Publishing, Bremen, Germany, 2000) , pp. 321-327, 2000

Abstract

The equilibrium states of 2D non-coarsening fluid foams, which consist of bubbles with fixed areas, correspond to local minima of the total perimeter. (i) We find an approximate value of the global minimum, and determine directly from an image how far a foam's energy is from its ground state. (ii) For (small) area disorder, small bubbles tend to sort inwards and large bubbles outwards. (iii) Topological charges of the same sign `repel' while charges of opposite sign `attract'. (iv) We discuss boundary conditions and the uniqueness of the pattern for fixed topology.

BibTeX Entry

@inproceedings{jiang-2000-energy,
author = {Yi Jiang and Eric Janiaud and Cyril Flament and James Glazier and Francois Graner},
title = { Energy landscape of 2D fluid foams},
year = {2000},
urlpdf = {http://math.lanl.gov/~yi/Papers/eurofoam2.pdf},
booktitle = { Foams, Emulsions and their Applications, P. Zitha, J. Banhart and G. Verbist editors (Verlag MIT Publishing, Bremen, Germany, 2000) },
pages = {321-327}
}