Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How to generate and measure anomalous weakly non-ergodic Brownian motion
  in simple systems   It is shown that in systems with time-dependent and/or spatially nonuniform
temperature $T(t,x)$, (i) most of the transport processes is weakly
non-ergodic, and (ii) the diffusion (Brownian motion, BM) is anomalous. A few
examples of simple arrangements, easy for experimental realization, are
discussed in detail. Proposed measurements will enable also the observation of
transitions from ergodic to weakly non-ergodic and from normal to anomalous
diffusion. New effects are predicted: (i) zero-mean oscillations of $T(t)$
accelerate BM (pumping effect), (ii) the combination of temporal and spatial
variations of temperature may lead to superballistic BM, (iii) linear gradients
of $T(x)$ result in an exponential acceleration of BM. One can expect similar
effects in inflationary systems with time-dependent metrics.

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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
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The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
2
The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
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The categories of this paper are: atom-ph