博碩士論文 105222026 詳細資訊

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姓名 王耀寬(Yao-Kuan Wang)  查詢紙本館藏   畢業系所 物理學系
(Spiral-coil Formation in Semi-flexible Self-propelled Chain System)
★ 多細菌鞭毛馬達的同步轉動量測★ Investigation of the Dual Flagellar Motor System
★ 長形群游細菌的集體運動★ Investigating Stators Assembly of Flagellar Motors in Escherichia Coli by PALM
★ 被動粒子在不同的流體型態★ Lab on the Agar Plates
★ Dynamical Patterns in Vibrio alginolyticus Swarm Plate★ Probing the Physical Environments of Bacterial Swarm Colony
★ Real-Time Measurement of Vibrio alginolyticus Polar Flagellar Growth★ Foraging behavior of Caenorhabditis elegans
★ Investigating the Growth Mechanism of Bacterial Flagella by Real-time Fluorescent Imaging★ Jamming State of Active Nematics
★ Probing Escherichia coli Energetics under Starvation by Single-Cell Measurements★ Probing Cell Wall Synthetic Dynamics by Bacterial Flagellar Motor in Escherichia coli
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摘要(中) 主動的自我推進粒子系統與被動系統相比,有著更為豐富的行為。在不同尺度的自我推進粒子系統中,皆可觀察到與粒子單元相比規模較大的群聚效應:從細胞的聚集,到魚群的群游。許多不同的理論模型已經根據這種跨尺度的群聚效應提出解釋。他們歸納出局部速度方向的統一是群體運動的起源。


摘要(英) Large scale patterns such as clustering can be observed in different self-propelled systems:from cell aggregations to fish schools.Several models have been proposed to describe these diverse systems which all show the collective behaviours.They conclude that, the alignment of velocities between two self-propelled elements explains the mechanism.

Inspired by the experimental observation of swarming bacteria self-assembled into rotating spiral-coil structures, we conduct a 2-dimensional semi-flexible self-propelled chain simulation. In the monodisperse system,
the system comprises several short self-propelled chains with the same length. Under this condition, self-propelled chains with spatial interactions, shows cluster formation.
We provide a novel way to describe the attraction between self-propelled chains by changing the stiffness of chains.
With the increase of stiffness, the cluster size
distribution exhibits larger clusters.

Interestingly, in the bidisperse system, an rigid ultra-long chain interacted with short chain backgrounds can form self-rotated and rotational structure. The onset of spiral-coil conformation is related to the balance of background density and stiffness of long chain. We investigate the spiral coil formation by varying long-chain stiffness and short-chain density. The collisions from the background decrease the effective stiffness of long chain. As a result, our finding can be demonstrated by phase diagram of those two parameters. Our results explain the self-assembled spiral coils in the stiff long bacterial swarm systems.
關鍵字(中) ★ 主動系統
★ 持久長度
★ 細菌
關鍵字(英) ★ active matter
★ persistence length
★ bacteria
論文目次 Abstract i
Glossary x
Acronym x
Symbol x
1 Introduction 1
Motivation 1
Spiral coil experiment 3
Collective motion of self-propelled rods 6
Vicsek model 6
Self propelled rods 8
Myxobacteria 14
Semi-flexible chain 15
Persistence length 15
Self-propelled semi-flexible chain 19
2 Method 20
Simulation Model 20
Brownian motion and Langevin equation 20
Interaction between beads 22
Propulsion force 25
Randon noise 25
Detail of the system 26
Computation Method 27
The linked cell method 27
Implementation of the linked cell method 30
Analysis 30
3 Result 32
Pure short chain system 32
Mean-squared angular deviation 32
Mean-squared displacement 37
Cluster size distribution 39
Local number fluctuation 42
Mixture system with long chain 44
Criteria of spiral coil 44
Different patterns of spiral coil 45
Bending threshold 45
Phase diagram of spiral-coil formation 47
4 Conclusion 51
Reference 53
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指導教授 羅健榮(Chien-Jung Lo) 審核日期 2018-6-29
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