Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume

C. Landim; M. Mourragui

Annales de l'I.H.P. Probabilités et statistiques (1997)

  • Volume: 33, Issue: 1, page 65-82
  • ISSN: 0246-0203

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Landim, C., and Mourragui, M.. "Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume." Annales de l'I.H.P. Probabilités et statistiques 33.1 (1997): 65-82. <http://eudml.org/doc/77561>.

@article{Landim1997,
author = {Landim, C., Mourragui, M.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {particle systems; hydrodynamic limit; asymmetric zero range processes; entropy production bound},
language = {eng},
number = {1},
pages = {65-82},
publisher = {Gauthier-Villars},
title = {Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume},
url = {http://eudml.org/doc/77561},
volume = {33},
year = {1997},
}

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
PB - Gauthier-Villars
VL - 33
IS - 1
SP - 65
EP - 82
LA - eng
KW - particle systems; hydrodynamic limit; asymmetric zero range processes; entropy production bound
UR - http://eudml.org/doc/77561
ER -

References

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  2. [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. Zbl0408.35054MR539218
  3. [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. Zbl0629.60107
  4. [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. Zbl0681.76089MR894407
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  6. [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. Zbl0719.60122MR1090429
  7. [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. Zbl0652.60107MR954674
  8. [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. Zbl0465.60089MR630334
  9. [9] H. RostNonequilibrium behavior of many particle systems: density profile and local equilibria.Z. Wahrs. Verw. Gebiete, Vol. 58, 1981, pp. 41-53. Zbl0451.60097MR635270
  10. [10] H. Spohn, Large Scale Dynamics of Interacting Particle Systems, Text and Monographs in Physics, Springer-Verlag, New York, 1991. Zbl0742.76002
  11. [11] D. Wick, Entropy arguments in the study of hydrodynamic limits, CARR Reports in Mathematical Physics3/88. 
  12. [12] H.T. Yau, Metastability of Ginzburg-Landau model with a conservation law, J. Stat. Phys., Vol. 74, 1994, pp. 705-742. Zbl0834.35120MR1263386

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