Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the distribution of barriers in the spin glasses   We discuss a general formalism that allows study of transitions over barriers
in spin glasses with long-range interactions that contain large but finite
number, $N$, of spins. We apply this formalism to the Sherrington-Kirkpatrick
model with finite $N$ and derive equations for the dynamical order parameters
which allow ''instanton'' solutions describing transitions over the barriers
separating metastable states. Specifically, we study these equations for a
glass state that was obtained in a slow cooling process ending a little below
$T_{c}$ and show that these equations allow ''instanton'' solutions which erase
the response of the glass to the perturbations applied during the slow cooling
process. The corresponding action of these solutions gives the energy of the
barriers, we find that it scales as $\tau ^{6}$ where $\tau $ is the reduced
temperature.

21
The categories of this paper are: adap-org
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga