Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical behaviour of mixed random fibers, fibers on a chain and random
  graph   We study random fiber bundle model (RFBM) with different threshold strength
distributions and load sharing rules. A mixed RFBM within global load sharing
scheme is introduced which consists of weak and strong fibers with uniform
distribution of threshold strength of fibers having a discontinuity. The
dependence of the critical stress of the above model on the measure of the
discontinuity of the distribution is extensively studied. A similar RFBM with
two types of fibers belonging to two different Weibull distribution of
threshold strength is also studied. The variation of the critical stress of a
one dimensional RFBM with the number of fibers is obtained for strictly uniform
distribution and local load sharing using an exact method which assumes
one-sided load transfer. The critical behaviour of RFBM with fibers placed on a
random graph having co-ordination number 3 is investigated numerically for
uniformly distributed threshold strength of fibers subjected to local load
sharing rule, and mean field critical behaviour is established.

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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: eess
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg