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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  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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