- 95-471 Cesi F, Guadagni G, Martinelli F, Schonmann R
- On the 2D Stochastic Ising Model in the Phase
Coexistence Region Near the Critical Point
Nov 2, 95
(auto. generated ps),
of related papers
Abstract. We consider the two dimensional stochastic Ising model in finite square
$\L$ with free boundary conditions, at inverse temperature
$\b>\b_c$ and zero external field. Using duality and recent
results of Ioffe on the Wulff
construction close to the critical temperature,
we extend some of the results obtained by one of us (F.M.) in the
low temperature regime, to any temperature below the critical one.
In particular we show that the gap in the spectrum of the generator
of the dynamics goes to zero in the thermodynamic limit as an exponential
of the sidelength of
$\L$, with a rate constant determined by the surface tension
along one of the coordinate axes.
We also extend to the same range of temperatures the result due to
Shlosman on the equilibrium large
deviations of the magnetization with free boundary conditions.