Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relaxing the Geodesic Rule in Defect Formation Algorithms   In studying the formation of topological defects, it is conventional to
assume the ``geodesic rule'' which is equivalent to minimizing gradients of the
order parameter. This assumption has been called into question in
field-theoretic studies of first order phase transitions and in the case of
local defects. We present a scheme for numerically investigating the formation
of strings without assuming the geodesic rule. Our results show that the
fraction of string in infinite strings grows as we deviate from the geodesic
rule.

36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
3
The categories of this paper are: physics
18
The categories of this paper are: econ
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin