Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium phase separation with reactions: A canonical model and
  its behaviour   Materials undergoing both phase separation and chemical reactions (defined
here as all processes that change particle type or number) form an important
class of non-equilibrium systems. Examples range from suspensions of
self-propelled bacteria with birth-death dynamics, to bio-molecular
condensates, or 'membraneless organelles', within cells. In contrast to their
passive counterparts, such systems have conserved and non-conserved dynamics
that do not, in general, derive from a shared free energy. This mismatch breaks
time-reversal symmetry and leads to new types of dynamical competition that are
absent in or near equilibrium. We construct a canonical scalar field theory to
describe such systems, with conserved and non-conserved dynamics obeying Model
B and Model A respectively (in the Hohenberg-Halperin classification), chosen
such that the two free energies involved are incompatible. The resulting
minimal model is shown to capture the various phenomenologies reported
previously for more complicated models with the same physical ingredients,
including microphase separation, limit cycles and droplet splitting. We find a
low-dimensional subspace of parameters for which time-reversal symmetry is
accidentally recovered, and show that here the dynamics of the order parameter
field (but not its conserved current) is exactly the same as an equilibrium
system in which microphase separation is caused by long-range attractive
interactions.

35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an