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Power spectra of totally asymmetric exclusion processes on lattices with a junction

Author

Listed:
  • Dong-Xiang Wang

    (School of Engineering Science University of Science and Technology of China Hefei 230026, P. R. China)

  • Rui Jiang

    (School of Engineering Science University of Science and Technology of China Hefei 230026, P. R. China)

  • Mao-Bin Hu

    (School of Engineering Science University of Science and Technology of China Hefei 230026, P. R. China)

  • Qing-Song Wu

    (School of Engineering Science University of Science and Technology of China Hefei 230026, P. R. China)

Abstract

In this paper, we have studied the power spectra of the entire particle occupancy in the totally asymmetric exclusion processes on lattices with a junction, at which two lanes I and II merge into lane III. We have performed the investigations, utilizing both Monte Carlo simulations and theoretical analysis based on linearized Langevin equations. The effect of lane length, particle entry rates at lanes I and II, and particle exit rate at lane III have been discussed. The transition from damped periodic oscillation to irregular oscillation as well as disappearance of oscillation has been observed. In particular, when lanes I, II, III are simultaneously in low density (LD) state or high density (HD) state, and the length L1 of lane I is not remarkably different from the length L2 of lane II, the damped periodic oscillations could be observed and the minima of the power spectra could be calculated via weighted average. However, when L1 is notably different from L2, the oscillation becomes irregular.

Suggested Citation

  • Dong-Xiang Wang & Rui Jiang & Mao-Bin Hu & Qing-Song Wu, 2016. "Power spectra of totally asymmetric exclusion processes on lattices with a junction," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(02), pages 1-20, February.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:02:n:s0129183116500194
    DOI: 10.1142/S0129183116500194
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