Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-dimensional discrete aggregation-fragmentation model   We study here one-dimensional model of aggregation and fragmentation of
clusters of particles obeying the stochastic discrete-time kinetics of the
generalized Totally Asymmetric Simple Exclusion Process (gTASEP) on open
chains. Isolated particles and the first particle of a cluster of particles hop
one site forward with probability $p$; when the first particle of a cluster
hops, the remaining particles of the same cluster may hop with a modified
probability $p_m$, modelling a special kinematic interaction between
neighboring particles, or remain in place with probability $1-p_m$. The model
contains as special cases the TASEP with parallel update ($p_m =0$) and with
sequential backward-ordered update ($p_m =p$). These cases have been exactly
solved for the stationary states and their properties thoroughly studied. The
limiting case of $p_m =1$, which corresponds to irreversible aggregation, has
been recently studied too. Its phase diagram in the plane of injection
($\alpha$) and ejection ($\beta$) probabilities was found to have a different
topology.
  Here we focus on the stationary properties of the gTASEP in the generic case
of attraction $p<p_m<1$ when aggregation-fragmentation of clusters occurs. We
find that the topology of the phase diagram at $p_m =1$ changes sharply to the
one corresponding to $p_m =p$ as soon as $p_m$ becomes less than $1$. Then a
maximum current phase appears in the square domain $\alpha_c(p,p_m)\le\alpha\le
1$ and $\beta_c(p,p_m) \le \beta \le 1$, where $\alpha_c(p,p_m)=
\beta_c(p,p_m)\equiv \sigma_c(p,p_m)$ are parameter-dependent
injection/ejection critical values. The properties of the phase transitions
between the three stationary phases at $p< p_m <1$ are assessed by computer
simulations and random walk theory.

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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex