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

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.