Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Burst avalanches in solvable models of fibrous materials   We review limiting models for fracture in bundles of fibers, with
statistically distributed thresholds for breakdown of individual fibers. During
the breakdown process, avalanches consisting of simultaneous rupture of several
fibers occur, and the distribution $D(\Delta)$ of the magnitude $\Delta$ of
such avalanches is the central characteristics in our analysis. For a bundle of
parallel fibers two limiting models of load sharing are studied and contrasted:
the global model in which the load carried by a bursting fiber is equally
distributed among the surviving members, and the local model in which the
nearest surviving neighbors take up the load. For the global model we
investigate in particular the conditions on the threshold distribution which
would lead to anomalous behavior, i.e. deviations from the asymptotics
$D(\Delta) \sim \Delta^{-5/2}$, known to be the generic behavior. For the local
model no universal power-law asymptotics exists, but we show for a particular
threshold distribution how the avalanche distribution can nevertheless be
explicitly calculated in the large-bundle limit.

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The categories of this paper are: gr-qc
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: stat