On long time behaviour of a class of reaction-diffusion models
Annales de l'I.H.P. Physique théorique, Tome 55 (1991) no. 2, pp. 601-613.
@article{AIHPA_1991__55_2_601_0,
     author = {Vares, M. E.},
     title = {On long time behaviour of a class of reaction-diffusion models},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {601--613},
     publisher = {Gauthier-Villars},
     volume = {55},
     number = {2},
     year = {1991},
     mrnumber = {1139536},
     zbl = {0741.60105},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1991__55_2_601_0/}
}
TY  - JOUR
AU  - Vares, M. E.
TI  - On long time behaviour of a class of reaction-diffusion models
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1991
SP  - 601
EP  - 613
VL  - 55
IS  - 2
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1991__55_2_601_0/
LA  - en
ID  - AIHPA_1991__55_2_601_0
ER  - 
%0 Journal Article
%A Vares, M. E.
%T On long time behaviour of a class of reaction-diffusion models
%J Annales de l'I.H.P. Physique théorique
%D 1991
%P 601-613
%V 55
%N 2
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1991__55_2_601_0/
%G en
%F AIHPA_1991__55_2_601_0
Vares, M. E. On long time behaviour of a class of reaction-diffusion models. Annales de l'I.H.P. Physique théorique, Tome 55 (1991) no. 2, pp. 601-613. http://archive.numdam.org/item/AIHPA_1991__55_2_601_0/

[1] F. Baras, G. Nicolis, M. Malek-Mansour and J.W. Turner, Stochastic Theory of Adiabatic Explosion, J. Stat. Phys., Vol. 32, 1983, pp. 1-23.

[2] S. Brassesco, Some Results on Small Random Pertubations of an Infinite Dimensional Dynamical System, Stoch. Processes and Their Applications, Vol. 38, 1989, pp. 33-53. | MR | Zbl

[3] G. Broggi, L.A. Lugiato and A. Colombo, Transient Bimodality in Optically Bistable Systems, Phys. Rev. A, Vol. 32, No. 5, 1985, pp. 2803-2812.

[4] P. Calderoni, A. Pellegrinotti, E. Presutti and M.E. Vares, Transient Bimodality in Interacting Particle Systems, J. Stat. Phys., Vol. 55, 1989, pp. 523-578. | MR | Zbl

[5] M. Cassandro, A. Galves, E. Olivieri and M.E. Vares, Metastable Behaviour of Stochastic Dynamics: a Pathwise Approach, J. Stat. Phys., Vol. 35, 1984, p. 603. | MR | Zbl

[6] M. Cassandro, E. Olivieri and P. Picco, Small Random Perturbations of Infinite Dimensional Dynamical Systems and Nucleation, Ann. Inst. Henri Poincaré, Phys. Theor., Vol. 44, 1986, p. 343. | EuDML | Numdam | MR | Zbl

[7] A. De Masi, P.A. Ferrari and J.L. Lebowitz, Reaction-Diffusion Equations for Interacting Particle Systems, J. Stat. Phys., Vol. 44, 1986, pp. 589-643. | MR | Zbl

[8] A. De Masi, A. Pellegrinotti, E. Presutti and M.E. Vares, Spatial Patterns when Phases Separate in an Interacting Particle System, C.A.R.R. report, No. 1/91, 1990.

[9] A. De Masi and E. Presutti, Lectures on the Collective Behaviour of Particle Systems, C.A.R.R. report, November 1989 (to appear in Lect. Notes Math., Springer). | MR

[10] A. De Masi, E. Presutti and M.E. Vares, Escape From the Unstable Equilibrium in a Random Process with Infinitely Many Interacting Particles, J. Stat. Phys., Vol. 44, 1986, pp. 645-694. | MR | Zbl

[11] R. Durrett, Lecture Notes on Particle Systems and Percolation , Wadsworth and Brooks/Cole Advanced Books. Pacific Grove, 1988. | MR | Zbl

[12] W. Faris and G. Jona-Lasinio, Large Fluctuations for a Non-Linear Heat Equation with Noise, J. Phys. A, Vol. 15, 1982, pp. 3025-. | MR | Zbl

[13] T.M. Liggett, Interacting Particle Systems, Springer-Verlag, 1985. | MR | Zbl

[14] F. Martinelli, E. Olivieri and E. Scoppola, Small Random Pertubations of Finite and Infinite Dimensional Dynamical Systems: Umpredictability of Exit Times, J. Stat. Phys., Vol. 55, 1989, pp. 477-504. | MR | Zbl

[15] C.W. Meyer, G. Ahlers and D.S. Cannell, Phys. Rev. Let., 1987.

[16] F. De Pasquale, P. Tartaglia and P. Tombesi, Early-Stage Domain Formation and Growth in One-Dimensional Systems, Phys. Rev. A, Vol. 31, No. 4, 1985, pp. 2447-2453.

[17] E. Presutti, Collective Behaviour in Interating Particle Systems, invited talk at the I World Congress of the Bernoulli Society, Tashkent, 1986. | Zbl

[18] E. Presutti, Collective Phenomena in Stochastic Particle Systems, invited talk at the 1985 BIBOS meeting, Lect. Notes Math., No. 1250, 1987, pp. 195-232. | MR | Zbl

[19] H. Spohn, The Dynamics of Systems with Many Particles, 1989, preprint.

[20] A. Sznitman, Topics in Propagation of Chaos, École d'été de Probabilités des Saint Flour, Lect. Notes Math., Vol. 1464, 1989. | Zbl

[21] M.E. Vares, A Note on Small Random Perturbations of Dynamical Systems, Stoch. Proc. Applic., Vol. 35, 1990, pp. 225-230. | MR | Zbl