Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reaction kinetics in the few-encounter limit   The classical theory of chemical reactions can be understood in terms of
diffusive barrier crossing, where the rate of a reaction is determined by the
inverse of the mean first passage time (FPT) to cross a free energy barrier.
Whenever a few reaction events suffice to trigger a response or the energy
barriers are not high, the mean first passage time alone does not suffice to
characterize the kinetics, i.e., the kinetics do not occur on a single
time-scale. Instead, the full statistics of the FPT are required. We present a
spectral representation of the FPT statistics that allows us to understand and
accurately determine FPT distributions over several orders of magnitudes in
time. A canonical narrowing of the first passage density is shown to emerge
whenever several molecules are searching for the same target, which was termed
the 'few-encounter limit'. The few-encounter limit is essential in all
situations, in which already the first encounter triggers a response, such as
misfolding-triggered aggregation of proteins or protein transcription
regulation.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin