Flashing subdiffusive ratchets in viscoelastic media

Optimal operation of feedback flashing ratchets

Feedback flashing ratchets are thermal rectifiers that use information on the state of the system to operate switching on and off a periodic potential. We discuss different strategies for this operation with the aim of maximizing the net flux of particles in the collective version of a flashing ratchet consisting on N overdamped Brownian particles. We show the optimal protocols for the one-part...

Analytical aspects of the Brownian motor effect in randomly flashing ratchets.

The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of a Brownian motor, where the particles can be in two states, only one of which is sensitive the applied spatially periodic potential (the mathematical setting...

Reactions in Subdiffusive Media and Associated Fractional Equations

“dynamics of Viscoelastic Anisotropic Media”

New principles are introduced for the formulation of dynamic problems in viscoelasticity for the most general case of anisotropy. One is a variational principle derived from irreversible thermodynamics. The other a correspondence principle between viscoelasticity and elasticity. Applications to the mmics of viscoelastic plates and rods are developed as examples. The variational principles are a...

Plane waves in anisotropic viscoelastic media

Two concepts of plane waves in anisotropic viscoelastic media are studied. One of these concepts allows for the use of methods based on the theory of complete Bernstein functions. This allows for a deeper study of frequency-domain asymptotics of the attenuation function and timedomain regularity at the wavefronts. A relation between the direction of the energy flux density and the attenuation v...