Large deviations in the van der Waals limit

被引：23

作者：

Benois, O ^{[1
]}

Bodineau, T

Presutti, E

机构：

[1] Univ Rouen, UPRESA 6085, F-76821 Mt St Aignan, France

[2] Ecole Normale Super, DMI, F-75005 Paris, France

[3] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1998年 / 75卷 / 01期

关键词：

Kac potentials; large deviations; interfaces; Wulff shape; contours;

D O I：

10.1016/S0304-4149(98)00002-7

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper we extend the analysis in Benois et al. (Markov Process. Rel. Fields (1997) 175-198) by proving a strong large deviation principle for the empirical distribution of Ising spins in d greater than or equal to 2 dimensions when the interaction is determined by a Kac potential and the temperature is below the critical value. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：89 / 104

页数：16

共 17 条

[1] Surface tension in Ising systems with Kac potentials [J].

Alberti, G ;

Bellettini, G ;

Cassandro, M ;

Presutti, E .

JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (3-4) :743-796

[2]

ALBERTI G, 1996, ASYMPTOTIC BEHAV NON

[3] Constrained minima of nonlocal free energy functionals [J].

Bellettini, G ;

Cassandro, M ;

Presutti, E .

JOURNAL OF STATISTICAL PHYSICS, 1996, 84 (5-6) :1337-1349

[4]

BENOIS O, 1997, MARKOV PROCESS RELAT, V3, P175

[5]

BODINEAU T, 1996, IN PRESS COMMUN MATH

[6]

BOVIER A, 1996, IN PRESS J STAT PHYS

[7]

Butta P., 1997, MARKOV PROCESS RELAT, V3, P63

[8]

Cassandro M., 1996, MARKOV PROCESS RELAT, V2, P241

[9]

Dal Maso G., 1993, INTRO GAMMA CONVERGE

[10]

Dobrushin R.L., 1992, The Wulff Construction: A Global Shape from Local Interactions

← 1 2 →