On long time behaviour of a class of reaction-diffusion models
Vares, M. E.
Annales de l'I.H.P. Physique théorique, Tome 54 (1991), p. 601-613 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1991-01-01
@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},
     volume = {54},
     year = {1991},
     pages = {601-613},
     mrnumber = {1139536},
     zbl = {0741.60105},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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 54 (1991) pp. 601-613. http://gdmltest.u-ga.fr/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 1116303 | Zbl 0734.60068

[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 1003527 | Zbl 0714.60096

[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 749840 | Zbl 0591.60080

[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. | Numdam | MR 850897 | Zbl 0598.35133

[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 857069 | Zbl 0629.60107

[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 897809

[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 857070 | Zbl 0652.60110

[11] R. Durrett, Lecture Notes on Particle Systems and Percolation , Wadsworth and Brooks/Cole Advanced Books. Pacific Grove, 1988. | MR 940469 | Zbl 0659.60129

[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 684578 | Zbl 0496.60060

[13] T.M. Liggett, Interacting Particle Systems, Springer-Verlag, 1985. | MR 776231 | Zbl 0559.60078

[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 1003525 | Zbl 0714.60109

[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 0679.60096

[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 897809 | Zbl 0637.76058

[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 0732.60114

[21] M.E. Vares, A Note on Small Random Perturbations of Dynamical Systems, Stoch. Proc. Applic., Vol. 35, 1990, pp. 225-230. | MR 1067109 | Zbl 0708.60053