Second class particles in the rarefaction fan

P. A. Ferrari; C. Kipnis

Annales de l'I.H.P. Probabilités et statistiques (1995)

  • Volume: 31, Issue: 1, page 143-154
  • ISSN: 0246-0203

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Ferrari, P. A., and Kipnis, C.. "Second class particles in the rarefaction fan." Annales de l'I.H.P. Probabilités et statistiques 31.1 (1995): 143-154. <http://eudml.org/doc/77499>.

@article{Ferrari1995,
author = {Ferrari, P. A., Kipnis, C.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {asymmetric simple exclusion; second class particle; law of large numbers; Burgers equation; totally asymmetric nearest neighbors simple exclusion process; rarefaction fan},
language = {eng},
number = {1},
pages = {143-154},
publisher = {Gauthier-Villars},
title = {Second class particles in the rarefaction fan},
url = {http://eudml.org/doc/77499},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Ferrari, P. A.
AU - Kipnis, C.
TI - Second class particles in the rarefaction fan
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1995
PB - Gauthier-Villars
VL - 31
IS - 1
SP - 143
EP - 154
LA - eng
KW - asymmetric simple exclusion; second class particle; law of large numbers; Burgers equation; totally asymmetric nearest neighbors simple exclusion process; rarefaction fan
UR - http://eudml.org/doc/77499
ER -

References

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  1. E.D. Andjel and M.E. Vares, Hydrodynamic equations for attractive particle systems onZ, J. Stat. Phys., Vol. 47, 1987. Zbl0685.58043MR892931
  2. P.A. Ferrari, Shock fluctuations in asymmetric simple exclusion, Probab. Theor. Related Fields, Vol. 91, 1992, pp. 81-101. Zbl0744.60117MR1142763
  3. A.F. Filippov, Differential equations with discontinuous right-hand side, Mat. Sbornik (N.S.), Vol. 51 (93), 1960, pp. 99-128. Zbl0138.32204MR114016
  4. C. Landim, Conservation of local equilibrium for attractive particle systems on Zd, Ann. Probab., Vol. 21, 4, 1993, pp. 1782-1808. Zbl0798.60085MR1245290
  5. T.M. Liggett, Interacting Particle Systems, Springer, Berlin, 1985. Zbl0559.60078MR776231
  6. H. Rezakhanlou, Hydrodynamic limit for attractive particle systems on Zd, Comm. Math. Phys., Vol. 140, 1990, pp. 417-448. Zbl0738.60098
  7. H. Rezakhanlou, Microscopic structure of shocks in one conservation laws, Preprint submitted to Ann. Inst. H. Poincaré, Analyse non linéaire, 1993. Zbl0836.76046MR1326665
  8. H. Rost, Nonequilibrium behaviour of a many particle process: density profile and local equilibrium, Z. Wahrsch. verw. Gebiete, Vol. 58, 1982, pp. 41-53 Zbl0451.60097MR635270

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