@article{AIHPB_2007__43_6_677_0, author = {Mourragui, Mustapha and Orlandi, Enza}, title = {Large deviations from a macroscopic scaling limit for particle systems with {Kac} interaction and random potential}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {677--715}, publisher = {Elsevier}, volume = {43}, number = {6}, year = {2007}, doi = {10.1016/j.anihpb.2006.09.008}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpb.2006.09.008/} }
TY - JOUR AU - Mourragui, Mustapha AU - Orlandi, Enza TI - Large deviations from a macroscopic scaling limit for particle systems with Kac interaction and random potential JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2007 SP - 677 EP - 715 VL - 43 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpb.2006.09.008/ DO - 10.1016/j.anihpb.2006.09.008 LA - en ID - AIHPB_2007__43_6_677_0 ER -
%0 Journal Article %A Mourragui, Mustapha %A Orlandi, Enza %T Large deviations from a macroscopic scaling limit for particle systems with Kac interaction and random potential %J Annales de l'I.H.P. Probabilités et statistiques %D 2007 %P 677-715 %V 43 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpb.2006.09.008/ %R 10.1016/j.anihpb.2006.09.008 %G en %F AIHPB_2007__43_6_677_0
Mourragui, Mustapha; Orlandi, Enza. Large deviations from a macroscopic scaling limit for particle systems with Kac interaction and random potential. Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 6, pp. 677-715. doi : 10.1016/j.anihpb.2006.09.008. http://www.numdam.org/articles/10.1016/j.anihpb.2006.09.008/
[1] Rounding of first order phase transitions in systems with quenched disorder, Comm. Math. Phys. 130 (1990) 489-528. | MR | Zbl
, ,[2] Metastability for the exclusion process with mean-field interaction, J. Stat. Phys. 93 (5/6) (1998) 1051-1110. | MR | Zbl
, ,[3] Dynamic fluctuations for Kac and related models, Markov Process. Related Fields 8 (2) (2002) 365-379. | MR | Zbl
,[4] Phase transition in the three-dimensional random field Ising model, Comm. Math. Phys. 116 (1988) 539-572. | MR
, ,[5] Typical configurations for one-dimensional random field Kac model, Ann. Probab. 27 (3) (1999) 1414-1467. | MR | Zbl
, , ,[6] Typical configurations for one-dimensional random field Kac model: localization of the phases, Electronic J. Probab. 10 (2005) 786-864. | MR | Zbl
, , , ,[7] Glauber evolution with Kac potentials. I. Mesoscopic and macroscopic limits, interface dynamics, Nonlinearity 7 (1996) 287-301. | MR | Zbl
, , , ,[8] Hydrodynamic limit of a disordered lattice gas, Probab. Theory Related Fields 127 (4) (2003) 535-608. | MR | Zbl
, ,[9] Phase segregation dynamics in particle systems with long range interaction. I. Macroscopic limits, J. Stat. Phys. 87 (1997) 37-61. | MR | Zbl
, ,[10] Macroscopic evolution of particle systems with short- and long-range interactions, Nonlinearity 13 (2000) 2143-2162. | MR | Zbl
, , ,[11] Deterministic and stochastic hydrodynamic equations arising from simple microscopic model systems, in: Stochastic Partial Differential Equations: Six Perspectives, Math. Surveys Monogr., vol. 64, American Mathematical Society, Providence, RI, 1999. | MR | Zbl
, , ,[12] On the van der Waals theory of vapour-liquid equilibrium. I. Discussion of a one-dimensional model, J. Math. Phys. 4 (1963) 216-228. | Zbl
, , ,[13] Diffusion Processes: Experiment, Theory, Simulations, Lecture Notes in Physics, vol. 438, Springer, 1994.
, , (Ed.),[14] Hydrodynamic Limit of Interacting Particle Systems, Springer-Verlag, 1999.
, ,[15] Hydrodynamic and large deviations for simple exclusion process, Comm. Pure Appl. Math. 42 (1989) 115-137. | MR | Zbl
, , ,[16] Interacting Particles Systems, Springer, Berlin, 1985. | Zbl
,[17] A particle model for spinodal decomposition, J. Stat. Phys. 63 (1991) 933-974. | MR
, , ,[18] Rigorous treatment of the Van der Waals Maxwell theory of the liquid-vapour transition, J. Math. Phys. 7 (1966) 98-113. | Zbl
, ,[19] Equations aux derivées partielles de type elliptique, Editions Nauka, Moscou, 1964.
, ,[20] Phase segregation dynamics for the Blume-Capel model with Kac interaction, Stochastic Process. Appl. 88 (2000) 79-124. | Zbl
, ,[21] Macroscopic evolution of particles systems with random field Kac interactions, Nonlinearity 16 (2003) 2123-2147. | MR | Zbl
, , ,[22] Theory of the random field Ising model, in: (Ed.), Spin Glasses and Random Fields, World Scientific, 1997.
,[23] E. Presutti, From Statistical Mechanics towards Continuum Mechanics, Notes of lectures held at the Max-Planck Institute, Leipzig, 1999.
[24] Diffusion in disordered media, in: , (Eds.), Proceedings on Stochastic Method for Nonlinear PDE, IMA Volumes in Mathematics, vol. 77, Springer-Verlag, 1995, pp. 65-79. | MR | Zbl
,[25] Large deviations from a hydrodynamic scaling limit for a nongradient system, Ann. Probab. 23 (2) (1995) 724-742. | MR | Zbl
,[26] Large deviations for the symmetric simple exclusion process in dimension , Probab. Theory Related Fields 113 (1999) 1-84. | MR | Zbl
, , ,[27] Diffusion semigroup and diffusion processes corresponding to degenerate divergence form operators, Comm. Pure Appl. Math. L (1997) 667-706. | MR | Zbl
, ,[28] Large Scale Dynamics of Interacting Particles, Springer, Berlin, 1991. | Zbl
,[29] Nonlinear diffusion limit for a system with nearest neighbor interactions. II, in: , (Eds.), Asymptotic Problems in Probability Theory: Stochastic Models and Diffusion on Fractals, Pitman Research Notes in Mathematics, vol. 283, Wiley, 1994. | MR | Zbl
,[30] Diffusive limit of lattice gas with mixing conditions, Asian J. Math. 1 (1997) 623-678. | MR | Zbl
, ,Cité par Sources :