Heinrichs, J. ; Kumar, N. (1984) Non-diffusive classical transport in a medium with static randomness Journal of Physics C: Solid State Physics, 17 (5). pp. 769-774. ISSN 0022-3719
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Official URL: http://iopscience.iop.org/0022-3719/17/5/008/
Related URL: http://dx.doi.org/10.1088/0022-3719/17/5/008
Abstract
The probability distribution for the displacement x of a particle moving in a one-dimensional continuum is derived exactly for the general case of combined static and dynamic gaussian randomness of the applied force. The dynamics of the particle is governed by the high-friction limit of Brownian motion discussed originally by Einstein and Smoluchowski. In particular, the mean square displacement of the particle varies as t2 for t to infinity. This ballistic motion induced by the disorder does not give rise to a 1/f power spectrum, contrary to recent suggestions based on the above dynamical model.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 85104 |
| Deposited On: | 29 Feb 2012 12:21 |
| Last Modified: | 29 Feb 2012 12:21 |
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