Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equilibrium Fluctuations in Mean-field Disordered Models   Mean-field models of glasses that present a random first order transition
exhibit highly non-trivial fluctuations. Building on previous studies that
focused on the critical scaling regime, we here obtain a fully quantitative
framework for all equilibrium conditions. By means of the replica method we
evaluate Gaussian fluctuations of the overlaps around the thermodynamic limit,
decomposing them in thermal fluctuations inside each state and heterogeneous
fluctuations between different states. We first test and compare our analytical
results with numerical simulation results for the $p$-spin spherical model and
the random orthogonal model, and then analyze the random Lorentz gas. In all
cases, a strong quantitative agreement is obtained. Our analysis thus provides
a robust scheme for identifying the key finite-size (or finite-dimensional)
corrections to the mean-field treatment of these paradigmatic glass models, and
opens the way for later identifying instantonic corrections.

7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph