Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinetic uncertainty relation on first passage time for accumulated
  current   The kinetic uncertainty relation (KUR) is a trade-off relation between the
precision of an observable and the mean dynamical activity in a fixed time
interval for a time-homogeneous and continuous-time Markov chain. In this
letter, we derive the KUR on the first passage time for the time-integrated
current from the information inequality at stopping times. The relation shows
that the precision of the first passage time is bounded from above by the mean
number of jumps up to that time. We apply our result to simple systems and
demonstrate that the activity constraint gives a tighter bound than the
thermodynamic uncertainty relation in the regime far from equilibrium.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas