4 papers
Large deviations of currents in diffusions with reflective boundaries
Emil Mallmin, Johan du Buisson, Hugo Touchette
We study the large deviations of current-type observables defined for Markov diffusion processes evolving in smooth bounded regions of with reflections at the bounda…
Inter-particle ratchet effect determines global current of heterogeneous particles diffusing in confinement
Emil Mallmin, Richard A. Blythe, Martin Evans
In a model of volume-excluding spheres in a -dimensional tube, we consider how differences between particles in their drift velocities, diffusivities, and sizes influence th…
A comparison of dynamical fluctuations of biased diffusion and run-and-tumble dynamics in one dimension
Emil Mallmin, Richard A Blythe, Martin R Evans
We compare the fluctuations in the velocity and in the fraction of time spent at a given position for minimal models of a passive and an active particle: an asymmetric random walke…
Exact spectral solution of two interacting run-and-tumble particles on a ring lattice
Emil Mallmin, Richard A Blythe, Martin R Evans
Exact solutions of interacting random walk models, such as 1D lattice gases, offer precise insight into the origin of nonequilibrium phenomena. Here, we study a model of run-and-tu…