Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Randomly branching $\theta$-polymers in two and three dimensions:
  Average properties and distribution functions   Motivated by renewed interest in the physics of branched polymers, we present
here a complete characterization of the connectivity and spatial properties of
$2$ and $3$-dimensional single-chain conformations of randomly branching
polymers in $\theta$-solvent conditions obtained by Monte Carlo computer
simulations. The first part of the work focuses on polymer average properties,
like the average polymer spatial size as a function of the total tree mass and
the typical length of the average path length on the polymer backbone. In the
second part, we move beyond average chain behavior and we discuss the complete
distribution functions for tree paths and tree spatial distances, which are
shown to obey the classical Redner-des Cloizeaux functional form. Our results
were rationalized first by the systematic comparison to a Flory theory for
branching polymers and, next, by generalized Fisher-Pincus relationships
between scaling exponents of distribution functions. For completeness, the
properties of $\theta$-polymers were compared to their ideal (i.e.), no volume
interactions) as well as good-solvent (i.e.), above the $\theta$-point)
counterparts. The results presented here brings to conclusion the recent work
performed in our group [A. Rosa and R. Everaers, J. Phys. A: Math. Theor. 49,
345001 (2016), J. Chem. Phys. 145, 164906 (2016), Phys. Rev. E 95, 012117
(2017)] in the context of the scaling properties of branching polymers.

8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex