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Second Class Particle Behaviour in Blocking ASEP
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DOI：10.30757/ALEA.v23-15.png)
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Abstract
En 中文
We consider any fixed d is an element of Z(>0) number of second class particles in the asymmetric simple exclusion process (ASEP), constructed via a basic coupling of two ASEPs. We give the joint distribution of the positions of the second class particles and also the probability of there being a second class particle at a given site, under the natural blocking measure for ASEP. In order to find these distributions we use results about the number of particles in half-infinite and finite site ranges of ASEP. Our investigations also lead to probabilistic proofs of well-known combinatorial identities; the Durfee rectangles identity, Euler's identity, and the q-Binomial Theorem.
Keywords:
Blocking measures
Asymmetric Simple Exclusion Process (ASEP)
Second class particles
Partition identities
Journal
A
IF:
0.6
Papers:
24
Citations:
0