Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse Design of Non-Equilibrium Steady-States: A Large Deviation
  Approach   The design of small scale non-equilibrium steady states (NESS) is a
challenging, open ended question. While similar equilibrium problems are
tractable using standard thermodynamics, a generalized description for
non-equilibrium systems is lacking, making the design problem particularly
difficult. Here we show we can exploit the large deviation behavior of a
Brownian particle and design a variety of geometrically complex steady-state
density distributions and flux field flows. We achieve this design target from
direct knowledge of the joint large deviation functional for the empirical
density and flow, and a "relaxation" algorithm on the desired target states via
adjustable force field parameters. We validate the method by replicating
analytical results, and demonstrate its capacity to yield complex prescribed
targets, such as rose-curve or polygonal shapes on the plane. We consider this
dynamical fluctuation approach a first step towards the design of more complex
NESS where general frameworks are otherwise still lacking.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org