Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subthreshold behavior and avalanches in an exactly solvable Charge
  Density Wave system   We present a toy charge density wave (CDW) model in 1d exhibiting a depinning
transition with threshold force and configurations that are explicit. Due to
the periodic boundary conditions imposed, the threshold configuration has a set
of topological defects whose location and number depend on the realization of
the random phases. Approaching threshold, these defects are relocated by
avalanches whose size dependence on the external driving force $F$ is described
by a record-breaking process. We find that the depinning transition in this
model is a critical phenomenon, with the cumulative avalanche size diverging
near threshold as $(F_{\rm th} - F)^{-2}$. The exact avalanche size
distributions and their dependence on the control parameter $(F_{\rm th} - F)$
are obtained. Remarkably, the scaling exponents associated with the critical
behavior depend on (1) the initial conditions and (2) the relationship between
the system size and the pinning strength.

20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat