Power-law behavior in the power spectrum induced by Brownian motion of a domain wall

Details Power-law behavior in the power spectrum induced by Brownian motion of a domain wall Power-law behavior in the power spectrum induced by Brownian motion of a domain wall

2003-03-17

arxiv.org/abs/cond-mat/0303302v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.68.015103

We show that Brownian motion of a one-dimensional domain wall in a large but finite system yields a $\omega^{-3/2}$ power spectrum. This is successfully applied to the totally asymmetric simple exclusion process (TASEP) with open boundaries. An excellent agreement between our theory and numerical results is obtained in a frequency range where the domain wall motion dominates and discreteness of the system is not effective.

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