Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-avoiding trails with nearest neighbour interactions on the square
  lattice   Self-avoiding walks and self-avoiding trails, two models of a polymer coil in
dilute solution, have been shown to be governed by the same universality class.
On the other hand, self-avoiding walks interacting via nearest-neighbour
contacts (ISAW) and self-avoiding trails interacting via multiply-visited sites
(ISAT) are two models of the coil-globule, or collapse transition of a polymer
in dilute solution. On the square lattice it has been established numerically
that the collapse transition of each model lies in a different universality
class. The models differ in two substantial ways. They differ in the types of
subsets of random walk configurations utilised (site self-avoidance versus bond
self-avoidance) and in the type of attractive interaction. It is therefore of
some interest to consider self-avoiding trails interacting via nearest
neighbour attraction (INNSAT) in order to ascertain the source for the
difference in the collapse universality class. Using the flatPERM algorithm, we
have performed computer simulations of this model. We present numerical
evidence that the singularity in the free energy of INNSAT at the collapse
transition has a similar exponent to that of the ISAW model rather than the
ISAT model. This would indicate that the type of interaction used in ISAW and
ISAT is the source of the difference in universality class.

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The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat