The asymmetric simple exclusion model with multiple shocks

P. A. Ferrari; L. R. G. Fontes; M. E. Vares

Annales de l'I.H.P. Probabilités et statistiques (2000)

  • Volume: 36, Issue: 2, page 109-126
  • ISSN: 0246-0203

How to cite

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Ferrari, P. A., Fontes, L. R. G., and Vares, M. E.. "The asymmetric simple exclusion model with multiple shocks." Annales de l'I.H.P. Probabilités et statistiques 36.2 (2000): 109-126. <http://eudml.org/doc/77652>.

@article{Ferrari2000,
author = {Ferrari, P. A., Fontes, L. R. G., Vares, M. E.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {asymmetric simple exclusion process; dynamical phase transition; shock fluctuations},
language = {eng},
number = {2},
pages = {109-126},
publisher = {Gauthier-Villars},
title = {The asymmetric simple exclusion model with multiple shocks},
url = {http://eudml.org/doc/77652},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Ferrari, P. A.
AU - Fontes, L. R. G.
AU - Vares, M. E.
TI - The asymmetric simple exclusion model with multiple shocks
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2000
PB - Gauthier-Villars
VL - 36
IS - 2
SP - 109
EP - 126
LA - eng
KW - asymmetric simple exclusion process; dynamical phase transition; shock fluctuations
UR - http://eudml.org/doc/77652
ER -

References

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  1. [1] Andjel E.D., Bramson M., Liggett T.M., Shocks in the asymmetric simple exclusion process, Probab. Theor. Related Fields78 (1988) 231-247. Zbl0632.60107MR945111
  2. [2] Andjel E.D., Vares M.E., Hydrodynamic equations for attractive particle systems on Z, J. Stat. Phys.47 (1987) 265-288. Zbl0685.58043MR892931
  3. [3] Daley D., Vere-Jones D.J., An Introduction to the Theory of Point Processes, Springer, Berlin, 1988. Zbl0657.60069MR950166
  4. [4] De Masi A., Kipnis C., Presutti E., Saada E., Microscopic structure at the shock in the asymmetric simple exclusion, Stochastics27 (1988) 151-165. Zbl0679.60094MR1008228
  5. [5] Ferrari P.A., Shock fluctuations in asymmetric simple exclusion, Probab. Theor. Related Fields91 (1992) 81-101. Zbl0744.60117MR1142763
  6. [6] Ferrari P.A., Fontes L.R.G., Shock fluctuations for the asymmetric simple exclusion process, Probab. Theory Related Fields99 (1994) 305-319. Zbl0801.60094MR1278887
  7. [7] Ferrari P.A., Kipnis C., Saada E., Microscopic structure of travelling waves in the asymmetric simple exclusion process, Ann. Probab.19 (1) (1991) 226-244. Zbl0725.60113MR1085334
  8. [8] Landim C., Conservation of local equilibrium for attractive particle systems on Zd, Ann. Probab. (1992). Zbl0798.60085
  9. [9] Liggett T.M., Coupling the simple exclusion process, Ann. Probab.4 (1976) 339- 356. Zbl0339.60091MR418291
  10. [10] Liggett T.M., Interacting Particle Systems, Springer, Berlin, 1985. Zbl0559.60078MR776231
  11. [11] Rezakhanlou H., Hydrodynamic limit for attractive particle systems on Zd, Comm. Math. Phys.140 (1990) 417-448. Zbl0738.60098
  12. [12] Spitzer F., Interaction of Markov processes, Adv. Math.5 (1970) 246-290. Zbl0312.60060MR268959
  13. [13] Wick D., A dynamical phase transition in an infinite particle system, J. Stat. Phys.38 (1985) 1015-1025. Zbl0625.76080MR802566

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