Figure 1.
Lifetime from the linear noise Fokker–Planck approximation at low confinement.
Lifetime (correlation time) as a function of burst for (a) small and (b) large bursts, normalised to the no-burst, unit-stoichiometry case for monomers
, dimers
and trimers
. The region above ca.
defines the high-
region, where lifetimes become insentitive to
. Note that the lifetime of monomer decreases whereas that of the dimer and trimer increases.
Figure 2.
(Colour) Decay-rate function from the linear noise Fokker–Planck approximation at low confinement.
Decay-rate function for several burst values
. (a) Monomers
. (b) Dimers
. (c) Trimers
. For dimers and trimers there is a threshold burst above which the
becomes non-monotonic in
. Furthermore, it develops a maximum and it appears at later times with increase in burst
.
Figure 3.
Lifetime from the full-master-equation trajectories.
Lifetimes as a function of system volume for constant burst
, each normalised to its corresponding
system. (a) No burst,
. (b) Higher burst,
for monomers
, dimers
and trimers
. Note that the system becomes insensitive to
at large enough
, as the linear-noise approximation predicts (see “Low confinement: the linear-noise approximation” in “Results”). As volume decreases, the system departs from linear-noise behaviour. Note that trimers are insensitive to volume as they are not a reactant in a non-linear reaction.
Figure 4.
(Colour) Lifetime from the full-master-equation trajectories.
Lifetimes normalised to their value at . (a) Monomers
, (b) dimers
, (c) trimers
. N.B.: The void region for small
corresponds to population fluctuations becoming larger than the mean. Shown is an interpolation of data sampled at intervals
.
Figure 5.
(Colour) Decay-rate function from the full-master-equation trajectories.
Decay-rate function for (a) monomers
, (b) dimers
, and (c) trimers
as volume shrinks at
.
is defined as the position of the maximum. Shrinking volume alone reduces
, as opposed to increasing
, see Fig. 1. Similar trend is also shown by the trimers.
Figure 6.
(Colour) ACF initial curvature from the full-master-equation trajectories.
ACF initial curvature, , normalised by its absolute value at
. (a) Monomers
, (b) dimers
, (c) trimers
. This quantity serves as a lower dimensional read-out of the decay-rate function
. N.B.: The void region for small
corresponds to population fluctuations becoming larger than the mean. Shown is an interpolation of data sampled at intervals
.
Table 1.
ACF characteristics upon increasing burst and confinement
.