Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal avalanche statistics and triggering close to failure in a mean
  field model of rheological fracture   The hypothesis of critical failure relates the presence of an ultimate
stability point in the structural constitutive equation of materials to a
divergence of characteristic scales in the microscopic dynamics responsible for
deformation. Avalanche models involving critical failure have determined common
universality classes for stick-slip processes and fracture. However, not all
empirical failure processes exhibit the trademarks of criticality. The
rheological properties of materials introduce dissipation, usually reproduced
in conceptual models as a hardening of the coarse grained elements of the
system. Here, we investigate the effects of transient hardening on (i) the
activity rate and (ii) the statistical properties of avalanches. We find the
explicit representation of transient hardening in the presence of generalized
viscoelasticity and solve the corresponding mean field model of fracture. In
the quasistatic limit, the accelerated energy release is invariant with respect
to rheology and the avalanche propagation can be reinterpreted in terms of a
stochastic counting process. A single universality class can be defined from
such analogy, and all statistical properties depend only on the distance to
criticality. We also prove that inter-event correlations emerge due to the
hardening --- even in the quasistatic limit --- that can be interpreted as
"aftershocks" and "foreshocks".

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The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th