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Front propagation in an exclusion one-dimensional reactive dynamics

Ramirez, Alejandro F.; Moreno, Gregorio; Jara, Milton (2008), Front propagation in an exclusion one-dimensional reactive dynamics, Markov Processes and Related Fields, 14, 2, p. 185-206

Type
Article accepté pour publication ou publié
Date
2008
Journal name
Markov Processes and Related Fields
Volume
14
Number
2
Pages
185-206
Metadata
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Author(s)
Ramirez, Alejandro F.
Moreno, Gregorio
Jara, Milton
Abstract (EN)
We consider an exclusion process representing a reactive dynamics of a pulled front on the integer lattice, describing the dynamics of first class $X$ particles moving as a simple symmetric exclusion process, and static second class $Y$ particles. When an $X$ particle jumps to a site with a $Y$ particle, their position is intechanged and the $Y$ particle becomes an $X$ one. Initially, there is an arbitrary configuration of $X$ particles at sites $..., -1,0$, and $Y$ particles only at sites $1,2,...$, with a product Bernoulli law of parameter $\rho,0
Subjects / Keywords
Mathematics; Probability