An approach to characterize metastability and critical droplets in stochastic Ising models
Annales de l'I.H.P. Physique théorique (1991)
- Volume: 55, Issue: 2, page 591-600
- ISSN: 0246-0211
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topSchonmann, Roberto H.. "An approach to characterize metastability and critical droplets in stochastic Ising models." Annales de l'I.H.P. Physique théorique 55.2 (1991): 591-600. <http://eudml.org/doc/76542>.
@article{Schonmann1991,
author = {Schonmann, Roberto H.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Glauber dynamics; metastability; critical droplets; stochastic Ising models},
language = {eng},
number = {2},
pages = {591-600},
publisher = {Gauthier-Villars},
title = {An approach to characterize metastability and critical droplets in stochastic Ising models},
url = {http://eudml.org/doc/76542},
volume = {55},
year = {1991},
}
TY - JOUR
AU - Schonmann, Roberto H.
TI - An approach to characterize metastability and critical droplets in stochastic Ising models
JO - Annales de l'I.H.P. Physique théorique
PY - 1991
PB - Gauthier-Villars
VL - 55
IS - 2
SP - 591
EP - 600
LA - eng
KW - Glauber dynamics; metastability; critical droplets; stochastic Ising models
UR - http://eudml.org/doc/76542
ER -
References
top- [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. Zbl0591.60080MR749840
- [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. Zbl0598.35133MR850897
- [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. MR722136
- [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. Zbl0709.60058MR905332
- [KGV] S. Kirkpatrick, C.D. Gelatt Jr. and M.P. Vecchi, Optimization by Simulated Annealing, Science, Vol. 220, 1983, pp. 671-680. Zbl1225.90162MR702485
- [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. Zbl0592.60063MR813459
- [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. Zbl0714.60109MR1003525
- [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. Zbl0739.60096MR1083898
- [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. Zbl0739.60097MR1105259
- [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. Zbl0739.60098MR1105260
- [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. Zbl0722.60107MR1101685
- [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. Zbl0646.60108MR814841
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