Hydrodynamical limit for asymmetric attractive particle systems on Z d

C. Landim

Annales de l'I.H.P. Probabilités et statistiques (1991)

  • Volume: 27, Issue: 4, page 559-581
  • ISSN: 0246-0203

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Landim, C.. "Hydrodynamical limit for asymmetric attractive particle systems on $Z^d$." Annales de l'I.H.P. Probabilités et statistiques 27.4 (1991): 559-581. <http://eudml.org/doc/77418>.

@article{Landim1991,
author = {Landim, C.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {conservation of local equilibrium; zero range process; Markov process; invariant measures; renormalization},
language = {eng},
number = {4},
pages = {559-581},
publisher = {Gauthier-Villars},
title = {Hydrodynamical limit for asymmetric attractive particle systems on $Z^d$},
url = {http://eudml.org/doc/77418},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Landim, C.
TI - Hydrodynamical limit for asymmetric attractive particle systems on $Z^d$
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1991
PB - Gauthier-Villars
VL - 27
IS - 4
SP - 559
EP - 581
LA - eng
KW - conservation of local equilibrium; zero range process; Markov process; invariant measures; renormalization
UR - http://eudml.org/doc/77418
ER -

References

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  2. [AK] E.D. Andjel and C. Kipnis, Derivation of the Hydrodynamical Equation for the Zero Range Interaction Process, Ann. Prob., Vol. 12, 1984, pp. 325-334. Zbl0536.60097MR735841
  3. [AV] E.D. Andjel and M.E. Vares, Hydrodynamical Equation for Attractive Particle Systems on Z, J. Stat. Phys., Vol. 47, 1987, pp. 265-288. Zbl0685.58043MR892931
  4. [BF1] A. Benassi and J.P. Fouque, Hydrodynamical Limit for the Asymmetric Simple Exclusion Process, Ann. Prob., Vol. 15, 1987, pp. 546-560. Zbl0623.60120MR885130
  5. [BF2] A. Benassi and J.P. Fouque, Hydrodynamical Limit for the Asymmetric Zero Range Process, Ann. Inst. Henri Poinearé, Prob. Stat., Vol. 24, 1988, pp. 189- 200. Zbl0646.60038MR953116
  6. [BFSV] A. Benassi, J.P. Fouque, E. Saada and M.E. Vares, Asymmetric AttractiveParticle Systems on Z : Hydrodynamical Limit for Monotone Initial Profile, preprint. MR1115810
  7. [C] C. Cocozza, Processus des misanthropes, Z. Wahrsh. Verw Gebiete, Vol. 70, 1985, pp. 509-523. Zbl0554.60097MR807334
  8. [DIPP] A. De Masi, N. Ianiro, A. Pellegrinotti and E. Presutti, A Survey of the Hydrodynamical Behavior of Many Particle, Systems in Nonequilibrium Phenomena II: From Stochastics to Hydrodynamics, J. L. LEBOWITZ and E. W. MONTROLL Eds., Studies Stat. Mech., Vol. 11, 1984, Noth Holland. Zbl0567.76006
  9. [K] J.N. Kružkov, First Order Quasi-Linear Equations with Several Space Variables, Math. U.S.S.R.-Sb., Vol. 10, 1970, pp. 217-243. Zbl0215.16203
  10. [L] C. Landim, Hydrodynamical Equation for Attractive Particle Systems on Zd, Ann. Prob., 1989 (to appear). Zbl0798.60084
  11. [Li] T.M. Liggett, Interacting Particle Systems, Springer Verlag, 1985. Zbl0559.60078MR776231
  12. [Re] F. Rezakhanlou, Hydrodynamic Limit for Attractive Particle Systems on Zd, preprint, 1990. MR1051500
  13. [R] H. Rost, Nonequilibrium Behavior of Many Particle Systems: Density Profil and Local Equilibria. Z. Wahrs. Verw. Gebiete, Vol. 58, 1981, p. 41-53. Zbl0451.60097MR635270

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