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Microscopic structure of a decreasing shock for the asymmetric $k$-step exclusion process

   
@article{ECP1080,
	author = {Herve Guiol and Krishnamurthi Ravishankar and Ellen Saada},
	title = {Microscopic structure of a decreasing shock for the asymmetric $k$-step exclusion process},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {8},
	year = {2003},
	keywords = {Asymmetric k-step exclusion process, Non-convex or non-concave flux, microscopic shock, rightmost particle},
	abstract = {The asymmetric $k$-step exclusion processes are the simplest interacting particle systems whose hydrodynamic equation may exhibit both increasing and decreasing entropic shocks under Euler scaling. We prove that, under Riemann initial condition with right density zero and adequate left density, the rightmost particle identifies microscopically the decreasing shock.},
	pages = {no. 19, 170-178},
	issn = {1083-589X},
	doi = {10.1214/ECP.v8-1080},    
        url = {http://ecp.ejpecp.org/article/view/1080}}