Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral density of individual trajectories of an active Brownian
  particle   We study analytically the single-trajectory spectral density (STSD) of an
active Brownian motion as exhibited, for example, by the dynamics of a
chemically-active Janus colloid. We evaluate the standardly-defined spectral
density, i.e. the STSD averaged over a statistical ensemble of trajectories in
the limit of an infinitely long observation time $T$, and also go beyond the
standard analysis by considering the coefficient of variation $\gamma$ of the
distribution of the STSD. Moreover, we analyse the finite-$T$ behaviour of the
STSD and $\gamma$, determine the cross-correlations between spatial components
of the STSD, and address the effects of translational diffusion on the
functional forms of spectral densities. The exact expressions that we obtain
unveil many distinctive features of active Brownian motion compared to its
passive counterpart, which allow to distinguish between these two classes based
solely on the spectral content of individual trajectories.

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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph