= A \omega(t) + B \epsilon(t/\tau),$$ where $B \in \mathbb{R}$ and $\tau > 0$ are constants, discussed later. Within the white noise approximation, essentially two models of this [*athermal*]{} contribution were suggested. One is formulated through a Poisson process [@KSSH2015I; @KSSH2015II; @MorgadoQ2016], and another uses simple exponential noise [@PRE2016II].

When the athermal fluctuations assume values in a continuous domain, rather than a discrete one [@KSSH2015I; @KSSH2015II], the first of the above models is given by exponential shot noise; cf. Refs. [@MorgadoQ2016; @PRE2016II]. Physically, it can be interpreted as an external force, applied in the form of discrete impulses. Their magnitude is distributed exponentially with the scale parameter $B$, while their number, imparted per unit time, is determined by the Poisson law with the rate parameter $\tau^{-1}$; cf. [Eq. (\[eq:rNE\])]{}. In contrast, the second model, based on simple exponential noise, describes a nonequilibrium force undergoing continuous variations in time; cf. [Ref. [@PRE2016II]]{}.

What seems unnoticed so far in the discussions of the Langevin dynamics with athermal noise, is that a nonequilibrium source of fluctuations in $r^\mathrm{NE}(t)$ does not exclude a possible presence of an additional deterministic constant term, $F$, on the right hand side of [Eq. (\[eq:lgv1\])]{}, which then reads $${\label{eq:lgv2}}
    