Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 1/f spectral trend and frequency power law of lossy media   The dissipation of acoustic wave propagation has long been found to obey an
empirical power function of frequency, whose exponent parameter varies through
different media. This note aims to unveil the inherent relationship between
this dissipative frequency power law and 1/f spectral trend. Accordingly, the
1/f spectral trend can physically be interpreted via the media dissipation
mechanism, so does the so-called infrared catastrophe of 1/f spectral trend4.
On the other hand, the dissipative frequency power law has recently been
modeled in time-space domain successfully via the fractional calculus and is
also found to underlie the Levy distribution of media, while the 1/f spectral
trend is known to have simple relationship with the fractal. As a result, it is
straightforward to correlate 1/f spectral trend, fractal, Levy statistics,
fractional calculus, and dissipative power law. All these mathematical
methodologies simply reflect the essence of complex phenomena in different
fashion. We also discuss some perplexing issues arising from this study.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph