Dipole diffusion in a random electrical potential

Diffusion of Wave Packets in a Markov Random Potential

We consider the evolution of a tight binding wave packet propagating in a time dependent potential. If the potential evolves according to a stationary Markov process, we show that the square amplitude of the wave packet converges, after diffusive rescaling, to a solution of a heat equation.

Distant-dipole field in liquids and diffusion: a perturbative approach.

A perturbative approach is employed to solve the Bloch-Torrey equations in the presence of distant-dipole fields in nuclear magnetic resonance. The procedure, although only carried out to first order in the perturbation parameter a=1/k2Dtaud, could, in principle, be generalized to higher orders. Here D is the diffusivity, taud the dipolar demagnetization time, and k is the wave vector of the sp...

Dipole interactions with random anisotropy in a frozen ferrofluid.

A study on striatal local electrical potential changes in an animal model of Parkinson's disease

Parkinson’s disease (PD) is a neurodegenerative disorder that does not develop spontaneously in some animal species. PD can be induced experimentally in some laboratory animals including mouse, rat and horse. Globus pallidus (GP) and substantia nigra pars compacta (SNc) are damaged in patients with PD. The hallmark of PD is a progressive impaired control of movement, an alteration of autonomic ...

Diffusion in a rough potential.

Diffusion in a spatially rough one-dimensional potential is treated by analysis of the mean first passage time. A general expression is found for the effective diffusion coefficient, which can become very small at low temperatures.