Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Irreversibility in active matter: General framework for active
  Ornstein-Uhlenbeck particles   Active matter systems are driven out of equilibrium by conversion of energy
into directed motion locally on the level of the individual constituents. In
the spirit of a minimal description, active matter is often modeled by
so-called active Ornstein-Uhlenbeck particles (AOUPs), an extension of passive
Brownian motion where activity is represented by an additional fluctuating
non-equilibrium "force" with simple statistical properties (Ornstein-Uhlenbeck
process). While in passive Brownian motion, entropy production along
trajectories is well-known to relate to irreversibility in terms of the
log-ratio of probabilities to observe a certain particle trajectory forward in
time in comparison to observing its time-reversed twin trajectory, the
connection between these concepts for active matter is less clear. It is
therefore of central importance to provide explicit expressions for the
irreversibility of active particle trajectories based on measurable quantities
alone, such as the particle positions. In this technical note, we derive a
general expression for the irreversibility of AOUPs in terms of path
probability ratios (forward versus backward path), extending recent results
from [PRX 9, 021009 (2019)] by allowing for arbitrary initial particle
distributions and states of the active driving.

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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: dg-ga