Velocity-force characteristics of an interface driven through a periodic potential

Sorting of Mesoscopic Particles Driven through Periodic Potential Landscapes

Sorting of colloidal particles of different sizes is of importance in the transport and delivery of such particles in biological, materials science, and other technological contexts. A successful methodology involves the flow of a mixture of particles over designer surfaces presenting a periodic array of traps (optical tweezers) or microfabricated obstacles. The trajectories of the particles ov...

Tourism Gaining Cogency from an Industry-Driven Force to a Public -Platform Choice

Brownian motion of an ellipsoidal particle in a tilted periodic potential : long - term velocity and diffusion

Bound on the group velocity of an electron in a one-dimensional periodic potential.

By using a recently derived upper bound on the allowed equilibrium current in a ring, it is proved that the magnitude of the group velocity of a Bloch electron in a one-dimensional periodic potential is always less than or equal to the group velocity of the same Bloch state in an empty lattice. Our inequality also implies that each energy band in a one-dimensional crystal always lies below the ...

Periodic homogenization with an interface

We consider a diffusion process with coefficients that are periodic outside of an ‘interface region’ of finite thickness. The question investigated in the articles is the limiting long time / large scale behaviour of such a process under diffusive rescaling. It is clear that outside of the interface, the limiting process must behave like Brownian motion, with diffusion matrices given by the sta...