Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of lattice inhomogeneity on collapsed phases of semi-stiff ISAW
  polymers   We investigate semi-stiff interacting self-avoiding walks on the square
lattice with random impurities. The walks are simulated using the flatPERM
algorithm and the inhomogeneity is realised as a random fraction of the lattice
that is unavailable to the walks. We calculate several thermodynamic and metric
quantities to map out the phase diagram and look at how the amount of disorder
affects the properties of each phase. On a homogeneous lattice this model has
an extended phase and two distinct collapsed phases, globular and crystalline,
which differ in the anisotropy of the walks. By adding impurities to the
lattice we notice a degree of swelling of the walks for all phases that is
commensurate with the fraction of the lattice that is removed. Importantly, the
crystal phase disappears with the addition of impurities for sufficiently long
walks. For finite length walks we demonstrate that competition between the size
of the average spaces free of impurities and the size of the collapsed polymer
describes the crossover between the homogeneous lattice and the impurity
dominated situation.

28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th