Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interacting Topological Defects on Frozen Topographies   We propose and analyze an effective free energy describing the physics of
disclination defects in particle arrays constrained to move on an arbitrary
two-dimensional surface. At finite temperature the physics of interacting
disclinations is mapped to a Laplacian Sine-Gordon Hamiltonian suitable for
numerical simulations. We then specialize to the case of a spherical crystal at
zero temperature. The ground state is analyzed as a function of the ratio of
the defect core energy to the Young's modulus. We argue that the core energy
contribution becomes less and less important in the limit R >> a, where R is
the radius of the sphere and a is the particle spacing. For large core energies
there are twelve disclinations forming an icosahedron. For intermediate core
energies unusual finite-length grain boundaries are preferred. The complicated
regime of small core energies, appropriate to the limit R/a goes to infinity,
is also addressed. Finally we discuss the application of our results to the
classic Thomson problem of finding the ground state of electrons distributed on
a two-sphere.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con