Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Acceleration of convergence to equilibrium in Markov chains by breaking
  detailed balance   We analyse and interpret the effects of breaking detailed balance on the
convergence to equilibrium of conservative interacting particle systems and
their hydrodynamic scaling limits. For finite systems of interacting particles,
we review existing results showing that irreversible processes converge faster
to their steady state than reversible ones. We show how this behaviour appears
in the hydrodynamic limit of such processes, as described by macroscopic
fluctuation theory, and we provide a quantitative expression for the
acceleration of convergence in this setting. We give a geometrical
interpretation of this acceleration, in terms of currents that are
\emph{antisymmetric} under time-reversal and orthogonal to the free energy
gradient, which act to drive the system away from states where (reversible)
gradient-descent dynamics result in slow convergence to equilibrium.

24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph