摘要翻译:
我们提出了一种描述振动底板作用下一维颗粒流化的稳态动力学的朗之万方法。我们采用线性朗之万方程来描述质心的运动。在这个框架内,我们导出了几个宏观量的解析表达式。我们还预测了质心高度的功率谱。我们发现我们的理论预测和广泛的事件驱动分子动力学模拟之间有很好的一致性。
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英文标题:
《A Langevin Approach to One-Dimensional Granular Media Fluidized by
Vibrations》
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作者:
Jun'ichi Wakou, Akinori Ochiai, Masaharu Isobe
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We present a Langevin approach to describe the steady-state dynamics of one-dimensional granular media fluidized by a vibrating bottom plate. We adopt a linear Langevin equation to describe the motion of the center of mass. Within this framework, we derive analytical expressions for several macroscopic quantities. We also predict the power spectrum for the height of the center of mass. We find good agreement between our theoretical predictions and extensive event-driven molecular dynamics simulations.
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PDF链接:
https://arxiv.org/pdf/801.4428