The classical diffusion limited Kronig-Penney system
Abstract
We have previously discussed the classical diffusive system of the bounded one-dimensional multitrap using the transfer-matrix method which is generally applied for studying the energy spectrum of the unbounded quantum Kronig-Penney multibarrier. It was shown, by this method, that for certain values of the relevant parameters the bounded multitrap array have unity transmission and a double-peak phase transitional behaviour. We discuss in this work, using the same transfer matrix method, the energy related to the diffusion through the unbounded one-dimensional multitrap and find that it may be expressed in two entirely different ways with different results and consequences. Also, it is shown that, unlike the barriers in the Kronig-Penney case, the energies at one face of the imperfect trap greatly differ from the energies at the other face of the same trap.
Cite
@article{arxiv.physics/0408084,
title = {The classical diffusion limited Kronig-Penney system},
author = {D. Bar},
journal= {arXiv preprint arXiv:physics/0408084},
year = {2007}
}
Comments
33 pages, 4 figures, some changes were introduced