On the two-dimensional stochastic Ising model in the phase coexistence region near the critical point

被引:32
作者
Cesi, F
Guadagni, G
Martinelli, F
Schonmann, RH
机构
[1] UNIV AQUILA 3,DIPARTIMENTO ENERGET,LAQUILA,ITALY
[2] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90024
关键词
stochastic Ising model; phase coexistence; relaxation time; spectral gap; surface tension; large deviations;
D O I
10.1007/BF02175556
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the two-dimensional stochastic Ising model in finite square Lambda with free boundary conditions, at inverse temperature beta > beta(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 Martinelli 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 side length of Lambda, 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.
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页码:55 / 102
页数:48
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