Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of burst distribution in fiber bundle model   We consider a fiber bundle model with a equal load sharing and uniformly
distributed breakdown thresholds. A unified probability-theoretic approach was
used to describe bundle under continuous and discrete load increase. It was
shown that the ratio of distribution D(d) of avalanches of sizes d to the
number of bundle load steps exactly corresponds to burst probability of size d.
Evolution of s - power law distribution exponent of D(d) was studied as a
function of loading step and bundle size. It was shown that s does not depend
on bundle size. In the numerical experiment, dependence s on loading step was
obtained with fiber bundle size up to N=10^10. The regions of s values
constancy and the transition region were found. A distribution of fiber bursts
on each loading step was recovered in the numerical simulations. It was shown
that a change in the type of this distribution is the reason for evolution of s
values in the range of -3 - -5/2.

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The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga