A many body disk model of slip phenomena and self-organized criticality

滑移现象和自组织临界性的多体盘模型

• 批准号: 12640370
• 负责人: HIRATA Takayuki
• 金额: $ 2.24万
• 依托单位: Fukui University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640370/
• 关键词: Slip phenomena; friction; self-organized criticality; many body disks; frustration; 1; f fluctuation; stick slip; earthquake

We have investigated a many-body disk model of slip phenomena. In the many-body disk model of slip phenomena, the particles between the slip surfaces are modeled as a many-body disks in 2 dimension. The model experiments of the many-body disk model of slip phenomena have been carried out. The experiments demonstrated that the model could reproduce the stick-slip events that were typical phenomena in slip. We showed that the time series of the torque has 1/f fluctuation. We also showed that the size distribution of stick-slip events obeyed the power law. The experiments were carried out with changing the number of disk layers and packing fractions. As a result, the model showed scaling properties in time, space and magnitude dimensions. This indicates that the many-body disk model of slip phenomena is one of the typical example of self-organized criticality.The stress measurement system by photo-elasticity was developed in order to monitor the stress distribution in a many body disk system. By using the stress measurement system, dynamical change of stress distribution during the experiment of the many-body disk model of slip phenomena was investigated. We found the relation between the time series of the torque and local behavior of disks.

本文研究了滑移现象的多体圆盘模型。在滑移现象的多体圆盘模型中，滑移面之间的颗粒被模拟为二维多体圆盘。对滑移现象的多体圆盘模型进行了模型试验。实验表明，该模型能够再现滑移过程中的典型粘滑现象。结果表明，转矩的时间序列具有1/f的波动性。我们还表明，粘滑事件的大小分布服从幂律。通过改变圆盘层数和填充率进行了实验。结果表明，该模型在时间、空间和震级维度上均具有标度性。这表明多体圆盘滑移模型是自组织临界性的典型例子之一。为了监测多体圆盘系统的应力分布，研制了光弹性应力测量系统。利用应力测量系统，研究了多体圆盘模型滑移现象实验过程中应力分布的动态变化。我们发现的扭矩的时间序列之间的关系和当地的行为的磁盘。

项目成果

平田隆幸: "粉粒体系での応力伝達ネットワークをみるための光弾性実験装置の開発"福井大学工学部研究報告. 49. (2001)

Takayuki Hirata：“用于观察粉末和颗粒系统中应力传递网络的光弹性实验装置的开发”福井大学工学部的研究报告49。（2001）。

Takayuki Hirata: "Earthquakes-Platemotion and friction"Kotai Butsuri. 35-8. 591-595 (2000)

Takayuki Hirata：“地震-板块运动和摩擦”Kotai Butsuri。

Tatsuaki Yoshimura and Takayuki Hirata: "A spin configuration with minimum energy of Ising spin system on irregular lattices"Bulleting of the Society for Science on Form. 15-3. 146-157 (2000)

Tatsuaki Yoshimura 和 Takayuki Hirata：“不规则晶格上伊辛自旋系统能量最小的自旋构型”科学学会形式通报。

Takayuki Hirata et al: "A many-body disk model of slip phenomena : An implication to earthquake faulting"Seismogenic Process Monitoring eds, Ogasaw et al., Balkema Publishers. 285-296 (2002)

Takayuki Hirata 等人：“滑动现象的多体盘模型：对地震断层的影响”地震发生过程监测编辑，Ogasaw 等人，Balkema 出版社。

平田隆幸: "摩擦の物理-プレートの運動と摩擦-"固体物理. 35. 591-595 (2000)

Takayuki Hirata：“摩擦物理学 - 板运动和摩擦”固体物理 35. 591-595 (2000)。