@article{AIHPA_1990__53_1_1_0, author = {G\"artner, J\"urgen and Presutti, Errico}, title = {Shock fluctuations in a particle system}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {1--14}, publisher = {Gauthier-Villars}, volume = {53}, number = {1}, year = {1990}, mrnumber = {1077463}, zbl = {0705.76054}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1990__53_1_1_0/} }
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 SP - 1 EP - 14 VL - 53 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1990__53_1_1_0/ LA - en ID - AIHPA_1990__53_1_1_0 ER -
Gärtner, Jürgen; Presutti, Errico. Shock fluctuations in a particle system. Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 1, pp. 1-14. http://archive.numdam.org/item/AIHPA_1990__53_1_1_0/
[1] Shocks in the asymmetric exclusion process, Prob. Theor. Rel. Fields, Vol. 78, 1988, pp. 231-247. | MR | Zbl
, and ,[2] Derivation of the hydrodynamical equation for the zero range interaction process, Ann. Prob., Vol. 12, 1984, pp. 325-334. | MR | Zbl
and ,[3] Hydrodynamic equations for attractive particle systems in Z, J. Stat. Phys., Vol. 47, 1987, pp. 265-288. | MR | Zbl
and ,[4] Hydrodynamic limit for the asymmetric simple exclusion process, Ann. Prob., Vol. 15, 1987, pp. 546-560. | MR | Zbl
and ,[5] A cellular automaton for Burgers equation, Complex Systems, Vol. 1, 1987, pp. 17-30. | MR | Zbl
and ,[6] Computer simulations of shock waves in the completely asymmetric simple exclusion, J. Stat. Phys., Vol. 55, 1985, pp. 611-624.
, , and ,[7] Self-diffusion in one dimensional lattice gases in the presence of an external field, J. Stat. Phys., Vol. 38, 1985, pp. 603-613. | MR | Zbl
and ,[8] Microscopic structure at the shock in the asymmetric simple exclusion, Stochastics (to appear). | Zbl
, , and ,[9] The weakly asymmetric simple exclusion process, Ann. Inst. H. Poincaré, Vol. 25, 1989, pp. 1-38. | Numdam | MR | Zbl
, and ,[10] The validity of nonlinear geometric optics for weak solutions of conservation laws, Commun. Math. Phys., Vol. 98, 1985, pp. 313-347. | MR | Zbl
and ,[11] The simple exclusion process as seen from a tagged particle, Ann. Prob., Vol. 14, 1986, pp. 1277-1290. | MR | Zbl
,[12] Microscopic structure of traveling waves in the asymmetric simple exclusion, CARR preprints, n.4/89, February 1989.
, and ,[13] Convergence towards Burgers' equation and propagation of chaos for weakly asymmetric simple exclusion processes, Stoch. proc. Appl., Vol. 27, 1988, pp. 233-260. | MR | Zbl
,[14] Central limit theorems for infinite series of queues and applications to simple exclusion, Ann. Prob., Vol. 14, 1986, pp. 397-408. | MR | Zbl
,[15] Convergence of stochastic cellular automaton to Burgers' equation: fluctuations and stability, Physica, D 33, 1988, pp. 165-188. | MR | Zbl
, and ,[16] Microscopic models of hydrodynamic behavior, J. Stat. Phys. Vol. 51, 1988, pp. 841-962. | MR | Zbl
, and ,[17] Interacting particle systems, Springer-Verlag, 1985. | MR | Zbl
,[18] Non equilibrium behavior of many particle process: density profiles and local equilibria, Z. Wahrsch. Verw. Gebiete, Vol. 58, 1981, pp. 41-53. | Zbl
,[19] Shock waves and reaction-diffusion equations, Springer-Verlag, 1983. | MR | Zbl
,[20] A dynamical phase transition in an infinite particle system, J. Stat. Phys., Vol. 38, 1985, pp. 1015-1025. | MR | Zbl
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