Key combinatorial problems in lattice statistical mechanics [ 2002-08-01 - 2006-12-31 ]

Research Grant

Researchers: Mr Andrew Rechnitzer (Postdoctoral Fellow)

Brief description Key combinatorial problems in lattice statistical mechanics. The enumeration of lattice animals is a famous open problem in combinatorics. These discrete structures also underpin our understanding of many physical phenomena, including polymer collapse and percolation in random media, through the integral part they play in many models in statistical mechanics and theoretical chemistry.\r\n\r\nThe project aims to answer some key open problems in this area using exact and numerical techniques. We expect that this will lead to proofs of the insolvability of certain problems, new exact solutions of others, and a greater understanding of the effect of topology and geometry on the behaviour of these models.

Funding Amount $191,566

Funding Scheme Discovery Projects

View this grant in the ARC Data Portal