  It is generally believed that collisions of particles reduce the
self-diffusion coefficient. Here we show that in odd-diffusive systems, which
are characterized by diffusion tensors with antisymmetric elements, collisions
surprisingly can enhance the self-diffusion. In these systems, due to an
inherent curving effect, the motion of particles is facilitated, instead of
hindered by collisions leading to a mutual rolling effect. Using a geometric
model, we analytically predict the enhancement of the self-diffusion
coefficient with increasing density. This counterintuitive behaviour is
demonstrated in the archetypal odd-diffusive system of Brownian particles under
Lorentz force. We validate our findings by many body Brownian dynamics
simulations in dilute systems.
