Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy efficiency of consecutive fragmentation processes   We present a first study on the energy required to reduce a unit mass
fragment by consecutively using several devices, as it happens in the mining
industry. Two devices are considered, which we represent as different
stochastic fragmentation processes. Following the self-similar energy model
introduced by Bertoin and Martinez, we compute the average energy required to
attain a size x with this two-device procedure. We then asymptotically compare,
as x goes to 0 or 1, its energy requirement with that of individual
fragmentation processes. In particular, we show that for certain range of
parameters of the fragmentation processes and of their energy cost-functions,
the consecutive use of two devices can be asymptotically more efficient than
using each of them separately, or conversely.

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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph