Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local overlaps, heterogeneities and the local fluctuation dissipation
  relations   In this paper I introduce the probability distribution of the local overlap
in spin glasses. The properties of the local overlaps are studied in details.
These quantities are related to the recently proposed local version of the
fluctuation dissipation relations: using the general principle of stochastic
stability these local fluctuation dissipation relations can be proved in a way
that is very similar to the usual proof of the fluctuation dissipation
relations for intensive quantities. The local overlap and its probability
distribution play a crucial role in this proof. Similar arguments can be used
to prove that all sites in an aging experiment stay at the same effective
temperature at the same time.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
2
The categories of this paper are: math
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio