Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-reciprocal hidden degrees of freedom: A unifying perspective on
  memory, feedback, and activity   We show that memory, feedback, and activity are all describable by the same
unifying concept, that is non-reciprocal (NR) coupling. We demonstrate that
characteristic thermodynamic features of these intrinsically nonequilibrium
systems are reproduced by low-dimensional Markovian networks with NR coupling,
which we establish as minimal models for such complex systems. NR coupling
alone implies a violation of the fluctuation-dissipation relation, which is
inevitably connected to entropy production, i.e., irreversibility. Hiding the
NR coupled degrees of freedom renders non-Markovian, one-variable Langevin
descriptions with complex types of memory, for which we find a generalized
second law involving information flow. We demonstrate that non-monotonic memory
is inextricably linked to NR coupling. Furthermore, we discuss discrete time
delay as the infinite-dimensional limit, and find a divergent entropy
production, corresponding to unbounded cost for precisely storing a Brownian
trajectory.

31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph