Open Access
Translator Disclaimer
July 2006 Euler hydrodynamics of one-dimensional attractive particle systems
C. Bahadoran, H. Guiol, K. Ravishankar, E. Saada
Ann. Probab. 34(4): 1339-1369 (July 2006). DOI: 10.1214/009117906000000115


We consider attractive irreducible conservative particle systems on ℤ, without necessarily nearest-neighbor jumps or explicit invariant measures. We prove that for such systems, the hydrodynamic limit under Euler time scaling exists and is given by the entropy solution to some scalar conservation law with Lipschitz-continuous flux. Our approach is a generalization of Bahadoran et al. [Stochastic Process. Appl. 99 (2002) 1–30], from which we relax the assumption that the process has explicit invariant measures.


Download Citation

C. Bahadoran. H. Guiol. K. Ravishankar. E. Saada. "Euler hydrodynamics of one-dimensional attractive particle systems." Ann. Probab. 34 (4) 1339 - 1369, July 2006.


Published: July 2006
First available in Project Euclid: 19 September 2006

zbMATH: 1101.60075
MathSciNet: MR2257649
Digital Object Identifier: 10.1214/009117906000000115

Primary: 60K35
Secondary: 82C22

Keywords: Attractive particle system , Entropy solution , Glimm scheme , hydrodynamics , nonconvex or nonconcave flux , nonexplicit invariant measures

Rights: Copyright © 2006 Institute of Mathematical Statistics


Vol.34 • No. 4 • July 2006
Back to Top