  Energy spectrum of turbulent fluids exhibit a bump at an intermediate
wavenumber, between the inertial and the dissipation range. This bump is called
bottleneck. Such bottlenecks are also seen in the energy spectrum of the
solutions of hyperviscous Burgers equation. Previous work, have shown that this
bump corresponds to oscillations in real space velocity field. In this paper we
present numerical and analytical results of how the bottleneck and its' real
space signature, the oscillations, grow as we tune the order of hyperviscosity.
We look at a parameter regime $\alpha \in [1,2]$ where $\alpha = 1$ corresponds
to normal viscosity and $\alpha = 2$ corresponds to hyperviscosity of order 2.
We show that even for the slightest fractional increment in the order of
hyperviscosity ($\alpha$) bottlenecks show up in the energy spectrum.
