Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aging in transport processes on networks with stochastic cumulative
  damage   In this paper we explore the evolution of transport capacity on networks with
stochastic incidence of damage and accumulation of faults in their connections.
For each damaged configuration of the network, we analyze a Markovian random
walker that hops over weighted links that quantify the capacity of transport of
each connection. The weights of the links in the network evolve due to randomly
occurring damage effects that reduce gradually the transport capacity of the
structure. We introduce a global measure to determine the functionality of each
configuration and how the system ages due to the accumulation of damage that
cannot be repaired completely. Then, by assuming a minimum value of the
functionality required for the system to be "alive", we explore the statistics
of the lifetimes for several realizations of this process in different types of
networks. Finally, we analyze the characteristic longevity of such a system and
its relation with the "complexity" of the network structure. One finding is
that systems with greater complexity live longer. Our approach introduces a
model of aging processes relating the reduction of functionality with the
accumulation of "misrepairs" and the lifetime of a complex system.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol