Hydrodynamics for totally asymmetric $k$-step exclusion processes
Guiol, Herve ; Ravishankar, Krishnamurthi ; Saada, Ellen
HAL, hal-00273581 / Harvested from HAL
Text on HAL
We describe the hydrodynamic behavior of the $k$-step exclusion process. Since the flux appearing in the hydrodynamic equation for this particle system is neither convex nor concave, the set of possible solutions include in addition to entropic shocks and continuous solutions those with contact discontinuities. We finish with a limit theorem for the tagged particle.
Publié le : 1999-11-26
Classification:  k-step exclusion process,  hydrodynamic limit,  MCS : 60K35 ; 82C22,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-00273581,
     author = {Guiol, Herve and Ravishankar, Krishnamurthi and Saada, Ellen},
     title = {Hydrodynamics for totally asymmetric $k$-step exclusion processes},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00273581}
}

Guiol, Herve; Ravishankar, Krishnamurthi; Saada, Ellen. Hydrodynamics for totally asymmetric $k$-step exclusion processes. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00273581/