The effect of detachment and attachment to a kink motion in the asymmetric simple exclusion process

We study the dynamics of a kink in a one-lane asymmetric simple exclusion process with detachment and attachment of the particle at arbitrary sites. For a system with one site of detachment and attachment we find that the kink is trapped by the site, and the probability distribution of the kink position is described by the overdumped Fokker-Planck equation with a V-shaped potential. Our results can be applied to the motion of a kink in arbitrary number of sites where detachment and attachment take place. When detachment and attachment take place at every site, we confirm that the kink motion obeys the diffusion in a harmonic potential. We compare our results with the Monte Carlo simulation, and check the quantitative validity of our theoretical prediction of the diffusion constant and the potential form.Comment: 10 pages, 5 figure

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

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.Comment: 4 pages, 4 figure

The effect of detachment and attachment to a kink motion in ASEP

この論文は国立情報学研究所の電子図書館事業により電子化されました。研究会報告我々は、開放境界条件下の非対称単純排他過程(ASEP)において現れるキンクの運動について、端以外での粒子の出入りがキンクの運動にどう影響するかを調べた。キンクの運動は、粒子の出入り口付近にトラップされるようになり、今回我々は、キンクの位置の分布を計算し、シミュレーションと比較した

開放境界条件における非対称単純排他過程でのキンクの動力学およびカレント大偏差関数

京都大学0048新制・課程博士博士(理学)甲第15854号理博第3595号新制||理||1524(附属図書館)28433京都大学大学院理学研究科物理学・宇宙物理学専攻(主査)教授 早川 尚男, 教授 小貫 明, 教授 太田 隆夫学位規則第4条第1項該当Doctor of ScienceKyoto UniversityDA