In the adiabatic limit, a symmetric passive disk in a chiral active bath obeys an odd Einstein relation D⊥ = T_eff μ⊥, while rods and wedges show increasingly irreversible dynamics.
Collisions enhance self-diffusion in odd-diffusive systems
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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.
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Odd dynamics of passive objects in a chiral active bath
In the adiabatic limit, a symmetric passive disk in a chiral active bath obeys an odd Einstein relation D⊥ = T_eff μ⊥, while rods and wedges show increasingly irreversible dynamics.