Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From steady-state TASEP model with open boundaries to 1D Ising model at
  negative fugacity   We demonstrate here a series of exact mappings between particular cases of
four statistical physics models: equilibrium 1-dimensional lattice gas with
nearest-neighbor repulsion, $(1+1)$-dimensional combinatorial heap of pieces,
random walks on half-plane and totally asymmetric simple exclusion process
(TASEP) in one dimension (1D). In particular, we show that generating function
of a steady state of one-dimensional TASEP with open boundaries can be
interpreted as a quotient of partition functions of 1D hard-core lattice gases
with one adsorbing lattice site and negative fugacity. This result is based on
the combination of (i) a representation of the steady-state TASEP
configurations in terms of $(1+1)$-dimensional heaps of pieces and (ii) a
theorem connecting the partition function of $(1+1)$-dimensional heaps of
pieces with that of a single layer of pieces, which in this case is a 1D
hard-core lattice gas.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: q-fin