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

Shinji Takesue·Hisao Hayakawa·Tetsuya Mitsudo
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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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Shinji Takesue, Hisao Hayakawa, Tetsuya Mitsudo. 2003-03-17. Power-law behavior in the power spectrum induced by Brownian motion of a domain wall. https://doi.org/10.1103/physreve.68.015103

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