Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady state large deviations for one-dimensional, symmetric exclusion
  processes in weak contact with reservoirs   Consider the symmetric exclusion process evolving on an interval and weakly
interacting at the end-points with reservoirs. Denote by $I_{[0,T]} (\cdot)$
its dynamical large deviations functional and by $V(\cdot)$ the associated
quasi-potential, defined as $V(\gamma) = \inf_{T>0} \inf_u I_{[0,T]} (u)$,
where the infimum is carried over all trajectories $u$ such that $u(0) =
\bar\rho$, $u(T) = \gamma$, and $\bar\rho$ is the stationary density profile.
We derive the partial differential equation which describes the evolution of
the optimal trajectory, and deduce from this result the formula obtained by
Derrida, Hirschberg and Sadhu \cite{DHS2021} for the quasi-potential through
the representation of the steady state as a product of matrices.

7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas