Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controlling Fragment Competition on Pathways to Addressable
  Self-Assembly   Addressable self-assembly is the formation of a target structure from a set
of unique molecular or colloidal building-blocks, each of which occupies a
defined location in the target. The requirement that each type of
building-block appears exactly once in each copy of the target introduces
severe restrictions on the combinations of particles and on the pathways that
lead to successful self-assembly. These restrictions can limit the efficiency
of self-assembly and the final yield of the product. In particular, partially
formed fragments may compete with each other if their compositions overlap,
since they cannot be combined. Here, we introduce a "completability" algorithm
to quantify competition between self-assembling fragments and use it to deduce
general principles for suppressing the effects of fragment incompatibility in
the self-assembly of small addressable clusters. Competition originates from
loops in the bonding network of the target structure, but loops may be needed
to provide structural rigidity and thermodynamic stability. An optimal
compromise can be achieved by careful choice of bonding networks and by
promoting semi-hierarchical pathways that rule out competition between early
fragments. These concepts are illustrated in simulations of self-assembly in
two contrasting addressable targets of 20 unique components each.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
2
The categories of this paper are: math
14
The categories of this paper are: math-ph