Solvability of Some Statistical Mechanical Systems
Jan 15, 19963 pages
Published in:
- Phys.Rev.Lett. 76 (1996) 344-347
View in:
Citations per year
Abstract: (APS)
We describe a numerical procedure that clearly indicates whether or not a given statistical mechanical system is solvable (in the sense of being expressible in terms of D-finite functions). If the system is not solvable in this sense, any solution that exists must be expressible in terms of functions that possess a natural boundary. We provide compelling evidence that the susceptibility of the two-dimensional Ising model, the generating function of square lattice self-avoiding walks and polygons and of hexagonal lattice polygons, and directed animals are in the “unsolvable” class.- 05.50.+q
- 02.60.-x
- 05.20.-y
References(20)
Figures(0)