An approach to characterize metastability and critical droplets in stochastic Ising models
Annales de l'I.H.P. Physique théorique, Volume 55 (1991) no. 2, p. 591-600
@article{AIHPA_1991__55_2_591_0,
     author = {Schonmann, Roberto H.},
     title = {An approach to characterize metastability and critical droplets in stochastic Ising models},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {55},
     number = {2},
     year = {1991},
     pages = {591-600},
     zbl = {0741.60103},
     mrnumber = {1139535},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1991__55_2_591_0}
}
Schonmann, Roberto H. An approach to characterize metastability and critical droplets in stochastic Ising models. Annales de l'I.H.P. Physique théorique, Volume 55 (1991) no. 2, pp. 591-600. http://www.numdam.org/item/AIHPA_1991__55_2_591_0/

[Bra] S. Brassesco, Tunelling for a Non-Linear Heat Equation with Noise, preprint, 1989.

[CGOV] M. Cassandro, A. Galves, E. Olivieri, and M.E. Vares, Metastable Behavior of Stochastic Dynamics: A Pathwise Approach, J. Stat. Phys., Vol. 35, 1984, pp. 603-634. | MR 749840 | Zbl 0591.60080

[COP] M. Cassandro, E. Olivieri and P. Picco, Small Random Perturbation of Infinite Dimensional Dynamical Systems and Nucleation Theory, Ann. Inst. Henri Poincaré Phys. Théor., Vol. 44, 1986, pp. 343-396. | Numdam | MR 850897 | Zbl 0598.35133

[EGJL] V.R. Eston, A. Galves, C.M. Jacobi and R. Langevin, Dominance Switch Between Two Interacting Species and Metastability, preprint, 1988.

[FW] M.I. Freidlin, A.D. Wentzell, Random Perturbation of Dynamical Systems, Springer, 1984. | MR 722136

[GOV] A. Galves, E. Olivieri and M.E. Vares: Metastability for a Class of Dynamical Systems Subject to Small Random Perturbations, Ann. Probab., Vol. 15, 1987, pp. 1288-1305. | MR 905332 | Zbl 0709.60058

[KGV] S. Kirkpatrick, C.D. Gelatt Jr. and M.P. Vecchi, Optimization by Simulated Annealing, Science, Vol. 220, 1983, pp. 671-680. | MR 702485

[KN] C. Kipnis and C.M. Newman, The Metastable Behavior of Infrequently Observed, Weakly Random, One-Dimensional Diffusion Processes, S.I.A.M. J. Appl. Math., Vol. 45, 1985, pp. 972-982. | MR 813459 | Zbl 0592.60063

[MOS1] F. Martinelli, E. Olivieri and E. Scoppola, Small Random Perturbation of Finite and Infinite Dimensional Systems: Unpredictability of Exit Times, J. Stat. Phys., Vol. 55, 1989, pp. 477-504. | MR 1003525 | Zbl 0714.60109

[MOS2] F. Martinelli, E. Olivieri and E. Scoppola, Rigorous Analysis of Low Temperature Stochastic Ising models: Metastability and Exponential Approach to Equilibrium, Europhys. Lett., Vol. 12, 1990, pp. 223-228.

[MOS3] F. Martinelli, E. Olivieri and E. Scoppola, Metastability and Exponential Approach to Equilibrium for Low Temperature Stochastic Ising Models, J. Stat. Phys., Vol. 61, 1990, pp. 1105-1119. | MR 1083898 | Zbl 0739.60096

[MOS4] F. Martinelli, E. Olivieri and E. Scoppola, On the Swendsen and Wang Dynamics I. Exponential Convergence to Equilibrium, J. Stat. Phys., Vol. 62, 1991, pp. 117-133. | MR 1105259 | Zbl 0739.60097

[MOS5] F. Martinelli, E. Olivieri and E. Scoppola, On the Swendsen and Wang Dynamics II. Critical Droplets and Homogeneous Nucleation at Low Temperature for the 2-dimensional Ising Model, J. Stat. Phys., Vol. 62, 1991, pp. 135-159. | MR 1105260 | Zbl 0739.60098

[N] E.J. Neves, Resultados sobre metaestabilidade num modelo de Ising estocástico, Ph. D. thesis, Instituto de Matemática e Estatistica da Universidade de São Paulo, São Paulo, Brasil, 1990.

[NCK] C.M. Newman, J.E. Cohen and C. Kipnis, Neo-darwinian Evolution Implies Punctuated Equilibria, Nature, Vol. 315, 1985, pp. 400-401.

[NS1] E.J. Neves and R.H. Schonmann, Critical Droplets and Metastability for a Glauber Dynamics at Very Low Temperature, Commun. Math. Phys., Vol. 137, 1991, pp. 209-230. | MR 1101685 | Zbl 0722.60107

[NS2] E.J. Neves and R.H. Schonmann, Behavior of Droplets for a Class o Glauber Dynamics at Very Low Temperature, preprint, 1990.

[PL] O. Penrose and J.L. Lebowitz, Towards a Rigorous Molecular Theory of Metastability, Fluctuation Phenomena (second edition), E. W. MONTROLL and J. L. LEBOWITZ Eds., North-Holland Physics Publishing, 1987.

[Sch] R.H. Shonmann, Metastability for the Contact Process, J. Stat. Phys., Vol. 41, 1985, pp. 445-464. | MR 814841 | Zbl 0646.60108