Geodesic
Dynamical fluctuations at the critical point: convergence to a nonlinear stochastic PDE
Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 4, pp. 689-741 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider an Ising spin system with Glauber dynamics and Kac interactions in one dimension at the critical temperature. We study the fluctuation filed of the magnetization density in a scaling limit which involves space, time and the range of the interaction. We prove that for a suitable choice of the scalings the normalized fluctuations field converges to the solution of a one-dimensional (nonlinear) Ginzburg–Landau equation perturbed by a white noise process.
Keywords: Kac potentials, critical fluctuations, stochastic quantization of field theories. 
@article{TVP_1993_38_4_a0,
     author = {L. Bertini and E. Presutti and B. R\"udiger and E. Saada},
     title = {Dynamical fluctuations at the critical point: convergence to a~nonlinear stochastic {PDE}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {689--741},
     year = {1993},
     volume = {38},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_1993_38_4_a0/}
}
TY  - JOUR
AU  - L. Bertini
AU  - E. Presutti
AU  - B. Rüdiger
AU  - E. Saada
TI  - Dynamical fluctuations at the critical point: convergence to a nonlinear stochastic PDE
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1993
SP  - 689
EP  - 741
VL  - 38
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/TVP_1993_38_4_a0/
LA  - en
ID  - TVP_1993_38_4_a0
ER  - 
%0 Journal Article
%A L. Bertini
%A E. Presutti
%A B. Rüdiger
%A E. Saada
%T Dynamical fluctuations at the critical point: convergence to a nonlinear stochastic PDE
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1993
%P 689-741
%V 38
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1993_38_4_a0/
%G en
%F TVP_1993_38_4_a0
L. Bertini; E. Presutti; B. Rüdiger; E. Saada. Dynamical fluctuations at the critical point: convergence to a nonlinear stochastic PDE. Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 4, pp. 689-741. http://geodesic.mathdoc.fr/item/TVP_1993_38_4_a0/