Nucleation in fluids: Some rigorous results

Physica A: Statistical Mechanics and its Applications

Volumn 279, Issue 1, 2000, Pages 110-122

  Den Hollander, F ^a   Olivieri, E ^b   Scoppola, E ^c  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c ROMA TRE UNIVERSITY   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

NUCLEATION; PHASE TRANSITIONS;

KAWASAKI DYNAMICS; LATTICE GASES; METASTABILITY;

STATISTICAL MECHANICS;

EID: 0033745418     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00541-5     Document Type: Article

References (11)

1. O. Catoni, R. Cerf, The exit path of a Markov chain with rare transitions. ES AIM Probab. Stat. (1995/1997) 95-144.
2. P. Deghampour, R.H. Schonmann, Metropolis dynamics relaxation via nucleation and growth, Comm. Math. Phys. 188 (1997) 89-119.
3. M.I. Freidlin, A.D. Wentzell, Random Perturbations of Dynamical Systems, Springer, New York, 1984.
4. F. den Hollander, E. Olivieri, E. Scoppola, Metastability and nucleation for conservative dynamics, EURANDOM Report 99-025. J. Math. Phys. in 2000, in a special issue entitled Probab. Methods Stat. Phys., to appear.
5. R. Kotecky, E. Olivieri, Droplet dynamics for asymmetric Ising model, J. Stat. Phys. 70 (1993) 1121-1148.
6. E.J. Neves, R.H. Schonmann, Critical droplets and metastability for a Glauber dynamics at very low temperatures, Comm. Math. Phys. 137 (1991) 209-230.
7. E.J. Neves, R.H. Schonmann, Behaviour of droplets for a class of Glauber dynamics at very low temperatures, Probab. Theory Relat. Fields 91 (1992) 331-354.
8. E. Olivieri, E. Scoppola, Markov chains with exponentially small transition probabilities: first exit problem from a general domain. I. The reversible case, J. Stat. Phys. 79 (1995) 613-647.
9. E. Olivieri, E. Scoppola, Markov chains with exponentially small transition probabilities: first exit problem from a general domain. II. The general case, J. Stat. Phys. 84 (1996) 987-1041.
10. E. Olivieri, E. Scoppola, Metastability and typical exit paths in stochastic dynamics, in: A. Balog, G.O.H. Katona, A. Recski, D. Szász (Eds.), Proceedings of the European Congress of Mathematics, Budapest, July 22-26, 1996, Progr. Math. 169, Birkhäuser, Boston, 1998, pp. 124-150.
11. R.H. Schonmann, The pattern of escape from metastability of a stochastic Ising model, Comm. Math. Phys. 147 (1992) 231-240.