Exclusion and zero-range in the rarefaction fan
In these notes we briefly review asymptotic results for the totally asymmetric simple exclusion process and the totally asymmetric constant-rate zero-range process, in the presence of particles with different priorities. We review the Law of Large Numbers for a second class particle added to those s...
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| Formato: | conferencePaper |
| Idioma: | eng |
| Publicado em: |
2014
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| Texto completo: | http://hdl.handle.net/1822/25234 |
| País: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/25234 |
| Resumo: | In these notes we briefly review asymptotic results for the totally asymmetric simple exclusion process and the totally asymmetric constant-rate zero-range process, in the presence of particles with different priorities. We review the Law of Large Numbers for a second class particle added to those systems and we present the proof of crossing probabilities for a second and a third class particles. This is done, for the exclusion process, by means of a particle-hole symmetry argument, while for the zero-range process it is a consequence of a coupling argument. |
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