Shock fluctuations in a particle system
Jürgen Gärtner; Errico Presutti
Annales de l'I.H.P. Physique théorique (1990)
- Volume: 53, Issue: 1, page 1-14
- ISSN: 0246-0211
Access Full Article
topHow to cite
topGärtner, Jürgen, and Presutti, Errico. "Shock fluctuations in a particle system." Annales de l'I.H.P. Physique théorique 53.1 (1990): 1-14. <http://eudml.org/doc/76494>.
@article{Gärtner1990,
author = {Gärtner, Jürgen, Presutti, Errico},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {one-dimensional nearest neighbour asymmetric simple exclusion process; inviscid Burgers equation; shock wave solutions},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Gauthier-Villars},
title = {Shock fluctuations in a particle system},
url = {http://eudml.org/doc/76494},
volume = {53},
year = {1990},
}
TY - JOUR
AU - Gärtner, Jürgen
AU - Presutti, Errico
TI - Shock fluctuations in a particle system
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 53
IS - 1
SP - 1
EP - 14
LA - eng
KW - one-dimensional nearest neighbour asymmetric simple exclusion process; inviscid Burgers equation; shock wave solutions
UR - http://eudml.org/doc/76494
ER -
References
top- [1] E. Andjel, M. Bramson and T.M. Liggett, Shocks in the asymmetric exclusion process, Prob. Theor. Rel. Fields, Vol. 78, 1988, pp. 231-247. Zbl0632.60107MR945111
- [2] E. 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] E. Andjel and M.E. Vares, Hydrodynamic equations for attractive particle systems in Z, J. Stat. Phys., Vol. 47, 1987, pp. 265-288. Zbl0685.58043MR892931
- [4] A. Benassi and J.P. Fouque, Hydrodynamic limit for the asymmetric simple exclusion process, Ann. Prob., Vol. 15, 1987, pp. 546-560. Zbl0623.60120MR885130
- [5] B. Boghosian and D. Levermore, A cellular automaton for Burgers equation, Complex Systems, Vol. 1, 1987, pp. 17-30. Zbl0659.65119MR891510
- [6] C. Boldrighini, G. Cosimi, A. Frigio and M. Grasso-Numes, Computer simulations of shock waves in the completely asymmetric simple exclusion, J. Stat. Phys., Vol. 55, 1985, pp. 611-624.
- [7] A. De Masi and P.A. Ferrari, Self-diffusion in one dimensional lattice gases in the presence of an external field, J. Stat. Phys., Vol. 38, 1985, pp. 603-613. Zbl0624.60117MR788435
- [8] A. De Masi, C. Kipnis, E. Presutti and E. Saada, Microscopic structure at the shock in the asymmetric simple exclusion, Stochastics (to appear). Zbl0679.60094
- [9] A. De Masi, E. Presutti and E. Scacciatelli, The weakly asymmetric simple exclusion process, Ann. Inst. H. Poincaré, Vol. 25, 1989, pp. 1-38. Zbl0664.60110MR995290
- [10] R.J. Diperna and A. Majda, The validity of nonlinear geometric optics for weak solutions of conservation laws, Commun. Math. Phys., Vol. 98, 1985, pp. 313-347. Zbl0582.35081MR788777
- [11] P.A. Ferrari, The simple exclusion process as seen from a tagged particle, Ann. Prob., Vol. 14, 1986, pp. 1277-1290. Zbl0628.60103MR866349
- [12] P.A. Ferrari, C. Kipnis and E. Saada, Microscopic structure of traveling waves in the asymmetric simple exclusion, CARR preprints, n.4/89, February 1989.
- [13] J. Gärtner, Convergence towards Burgers' equation and propagation of chaos for weakly asymmetric simple exclusion processes, Stoch. proc. Appl., Vol. 27, 1988, pp. 233-260. Zbl0643.60094MR931030
- [14] C. Kipnis, Central limit theorems for infinite series of queues and applications to simple exclusion, Ann. Prob., Vol. 14, 1986, pp. 397-408. Zbl0601.60098MR832016
- [15] J.L. Lebowitz, E. Orlandi and E. Presutti, Convergence of stochastic cellular automaton to Burgers' equation: fluctuations and stability, Physica, D 33, 1988, pp. 165-188. Zbl0672.76014MR984618
- [16] J.L. Lebowitz, E. Presutti and H. Spohn, Microscopic models of hydrodynamic behavior, J. Stat. Phys. Vol. 51, 1988, pp. 841-962. Zbl1086.60531MR971034
- [17] T.M. Liggett, Interacting particle systems, Springer-Verlag, 1985. Zbl0559.60078MR776231
- [18] H. Rost, Non equilibrium behavior of many particle process: density profiles and local equilibria, Z. Wahrsch. Verw. Gebiete, Vol. 58, 1981, pp. 41-53. Zbl0451.60097
- [19] J. Smoller, Shock waves and reaction-diffusion equations, Springer-Verlag, 1983. Zbl0508.35002MR688146
- [20] D.W. Wick, A dynamical phase transition in an infinite particle system, J. Stat. Phys., Vol. 38, 1985, pp. 1015-1025. Zbl0625.76080MR802566
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.