Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 1, pp. 65-82. 
@article{AIHPB_1997__33_1_65_0,
     author = {Landim, C. and Mourragui, M.},
     title = {Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {65--82},
     publisher = {Gauthier-Villars},
     volume = {33},
     number = {1},
     year = {1997},
     mrnumber = {1440256},
     zbl = {0870.60098},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_1997__33_1_65_0/}
}
TY  - JOUR
AU  - Landim, C.
AU  - Mourragui, M.
TI  - Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1997
SP  - 65
EP  - 82
VL  - 33
IS  - 1
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPB_1997__33_1_65_0/
LA  - en
ID  - AIHPB_1997__33_1_65_0
ER  - 
%0 Journal Article
%A Landim, C.
%A Mourragui, M.
%T Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1997
%P 65-82
%V 33
%N 1
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPB_1997__33_1_65_0/
%G en
%F AIHPB_1997__33_1_65_0
Landim, C.; Mourragui, M. Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 1, pp. 65-82. http://archive.numdam.org/item/AIHPB_1997__33_1_65_0/

[1] A. Andjel, Invariant measures for the zero range process, Ann. Probab., Vol. 10, 1982, pp. 525-547. | MR | Zbl

[2] H. Brézis and M.G. Crandall, Uniqueness of solutions of the initial-value problem for ut - Δφ(u) = 0, J. Math. Pures et appl., Vol. 58, 1979, pp. 153-163. | MR | Zbl

[3] A. De Masi, P. Ferrari and J. Lebowitz, Reaction diffusion equations for interacting particle systems, J. Stat. Phys., Vol. 55, 1986, pp. 523-578. | Zbl

[4] J. Fritz, On the hydrodynamic limit of a one dimensional Ginzburg-Landau lattice model: the a priori bounds, J. Stat. Phys., Vol. 47, 1987, pp. 551-572. | MR | Zbl

[5] J. Fritz, On the hydrodynamic limit of a Ginzburg-Landau lattice model, Prob. Th. Rel Fields, Vol. 81, 1989, pp. 291-318. | MR | Zbl

[6] J. Fritz, On the diffusive nature of the entropy flow in finite systems: remarks to a paper by Guo-Papanicolaou-Varadhan, Commun. Math. Phys., 133, 1990, pp. 331-352. | MR | Zbl

[7] M.Z. Guo, Papanicolaou G.C. and S.R.S. Varaohan, Nonlinear diffusion limit for a system with nearest neighbor interactions, Comm. Math. Phys., Vol. 118, 1988, pp. 31-59. | MR | Zbl

[8] A. Galves, C. Kipnis, C. Marchioro and E. Presutti, Nonequilibrium measures which exhibit a temperature gradient: study of a model, Commun. Math. Phys., Vol. 81, 1981, pp. 127-148. | MR | Zbl

[9] H. Rost Nonequilibrium behavior of many particle systems: density profile and local equilibria. Z. Wahrs. Verw. Gebiete, Vol. 58, 1981, pp. 41-53. | MR | Zbl

[10] H. Spohn, Large Scale Dynamics of Interacting Particle Systems, Text and Monographs in Physics, Springer-Verlag, New York, 1991. | Zbl

[11] D. Wick, Entropy arguments in the study of hydrodynamic limits, CARR Reports in Mathematical Physics 3/88.

[12] H.T. Yau, Metastability of Ginzburg-Landau model with a conservation law, J. Stat. Phys., Vol. 74, 1994, pp. 705-742. | MR | Zbl