  We answer a basic question in Nevanlinna theory that Ahlfors currents
associated to the same entire curve may be nonunique. Indeed, we will construct
one exotic entire curve $f: \mathbb{C}\rightarrow X$ which produces infinitely
many cohomologically different Ahlfors currents. Moreover, concerning Siu's
decomposition, for an arbitrary $k\in \mathbb{Z}_{+}\cup \{\infty\}$, some of
the obtained Ahlfors currents have singular parts supported on $k$ irreducible
curves. In addition, they can have nonzero diffuse parts as well. Lastly, we
provide new examples of diffuse Ahlfors currents on the product of two elliptic
curves and on $\mathbb{P}^2(\mathbb{C})$, and we show cohomologically elaborate
Ahlfors currents on blow-ups of $X$.
