dorsal/arxiv
View SchemaThe classical diffusion limited Kronig-Penney system
| Authors | D. Bar |
|---|---|
| Categories | |
| ArXiv ID | physics/0408084 |
| URL | https://arxiv.org/abs/physics/0408084 |
| Journal | Inter. J. Theor . Phys, 45, 765-789 (2006) |
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.
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"abstract": "We have previously discussed the classical diffusive system of the bounded\none-dimensional multitrap using the transfer-matrix method which is generally\napplied for studying the energy spectrum of the unbounded quantum Kronig-Penney\nmultibarrier. It was shown, by this method, that for certain values of the\nrelevant parameters the bounded multitrap array have unity transmission and a\ndouble-peak phase transitional behaviour. We discuss in this work, using the\nsame transfer matrix method, the energy related to the diffusion through the\nunbounded one-dimensional multitrap and find that it may be expressed in two\nentirely different ways with different results and consequences. Also, it is\nshown that, unlike the barriers in the Kronig-Penney case, the energies at one\nface of the imperfect trap greatly differ from the energies at the other face\nof the same trap.",
"arxiv_id": "physics/0408084",
"authors": [
"D. Bar"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"journal_ref": "Inter. J. Theor . Phys, 45, 765-789 (2006)",
"title": "The classical diffusion limited Kronig-Penney system",
"url": "https://arxiv.org/abs/physics/0408084"
},
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