Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computer simulations of melts of randomly branching polymers   Randomly branching polymers with {\em annealed} connectivity are model
systems for ring polymers and chromosomes. In this context, the branched
structure represents transient folding induced by topological constraints. Here
we present computer simulations of melts of annealed randomly branching
polymers of $3 \le N \le 1800$ segments in $d=2$ and $d=3$ dimensions. In all
cases, we perform a detailed analysis of the observed tree connectivities and
spatial conformations. Our results are in excellent agreement with an
asymptotic scaling of the average tree size of $R \sim N^{1/d}$, suggesting
that the trees behave as compact, {\it territorial} fractals. The observed
swelling relative to the size of ideal trees, $R\sim N^{1/4}$, demonstrates
that excluded volume interactions are only partially screened in melts of
annealed trees. Overall, our results are in good qualitative agreement with the
predictions of Flory theory. In particular, we find that the trees swell by the
combination of modified branching and path stretching. However, the former
effect is subdominant and difficult to detect in $d=3$ dimensions.

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga