Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and
  Restrictions   We introduce a new class of models for polymer collapse, given by random
walks on regular lattices which are weighted according to multiple site visits.
A Boltzmann weight $\omega_l$ is assigned to each $(l+1)$-fold visited lattice
site, and self-avoidance is incorporated by restricting to a maximal number $K$
of visits to any site via setting $\omega_l=0$ for $l\geq K$. In this paper we
study this model on the square and simple cubic lattices for the case K=3.
Moreover, we consider a variant of this model, in which we forbid immediate
self-reversal of the random walk. We perform simulations for random walks up to
$n=1024$ steps using FlatPERM, a flat histogram stochastic growth algorithm.
Unexpectedly, we find evidence that the existence of a collapse transition
depends sensitively on the details of the model.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin