The motion of a heavily damped Brownian particle which has an internal degree of freedom is considered. Directed motion of the Brownian particle is generated by external action which acts only on the internal degree of freedom. For a simple case that the internal degree of freedom is rotated...

The forced and overdamped motion of non-interacting particles in a periodic asymmetric potential is studied. The analysis is focused on synchronization of the motion of the particles with the external sinusoidal driving force. Two cases are considered: a perfect lattice without disorder and a...

A theory for the propagation of light through a randomly scattering slab is developed that does not take advantage of a diffusion approximation but can be solved analytically. The treatment allows for scattering anisotropy and boundary reflectivity to be incorporated in a straightforward fashion...

The Brownian diffusion of a particle in a periodic potential when the temperature of the thermal bath fluctuates is studied. The combination of a broken spatial symmetry in potential and time correlations in a fluctuation of temperature can generate directional current. The current can be used...

In this work, the distribution function for electrons inside a solid was obtained for several collision frequency models. The distortion of the Fermi distribution function induced by the electric field was shown at different times: its behaviour at early times proved particularly interesting....

We analyse the effects of agents’ decisions on the creation of congestion on a centralised network with ring-and-hub topology. We show that there are two classes of agents each displaying a distinct set of behaviours. The dynamics of the system are driven by an interplay between the formation...