Power-law behavior in the power spectrum induced by Brownian motion of a domain wall
Abstract
We show that Brownian motion of a one-dimensional domain wall in a large but finite system yields a ω-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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