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

Shinji Takesue, Tetsuya Mitsudo, and Hisao Hayakawa
Phys. Rev. E 68, 015103(R) – Published 18 July 2003
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Abstract

We show that Brownian motion of a one-dimensional domain wall in a large but finite system yields a ω3/2 power spectrum. This is successfully applied to the totally asymmetric simple exclusion process 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 the discreteness of the system is not effective.

  • Received 17 March 2003

DOI:https://doi.org/10.1103/PhysRevE.68.015103

©2003 American Physical Society

Authors & Affiliations

Shinji Takesue* and Tetsuya Mitsudo

  • Faculty of Integrated Human Studies, Kyoto University, Kyoto 606-8501, Japan

Hisao Hayakawa

  • Graduate School of Human and Environmental Studies, Kyoto University, Kyoto 606-8501, Japan

  • *Present and permanent address: Department of Physics, Kyoto University, Yoshida-Nihonmatsu-Cho, Kyoto 606-8501, Japan. Electronic address: takesue@phys.h.kyoto-u.ac.jp
  • Present and permanent address: Department of Physics, Kyoto University, Yoshida-Nihonmatsu-Cho, Kyoto 606-8501, Japan.

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Vol. 68, Iss. 1 — July 2003

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