This article is cited in 2 papers

Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures

E. A. Zhizhina

Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: We found the asymptotic formula for correlations decay $\langle f_A(x(0)),g_{A+k(t)}(x(t))\rangle$, when $t\to\infty$, $k(t)\to\infty$, $k(t)\in Z^d$, in the stochastic model of planar rotators on a lattice $x(t)=\bigl\{x_k(t),k\in Z^d\bigr\}$, $t\geq0$, $x_k(t)\in T^1$ at high temperatures. The basic methods we use are the spectral analysis of the Markov semigroup generator and the saddle-point method.

Received: 08.08.1996

DOI: 10.4213/tmf1027

 English version: Theoretical and Mathematical Physics, 1997, 112:1, 844–856

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