摘要翻译:
我们研究了有限尺寸的荧光标记硬核相互作用粒子在有限一维体系中的扩散。我们用Bethe-ansatz坐标求出了标记粒子概率密度的精确解析表达式,并由此计算了均方位移。分析表明,在短期、中期和长期存在三种截然不同的行为机制。结果表明,与随机模拟(Gillespie算法)非常吻合。这封信的发现为新型生物纳米传感器的开发带来了希望。
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英文标题:
《Single-File diffusion in a Box》
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作者:
Ludvig Lizana and Tobias Ambj\"ornsson
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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 study diffusion of (fluorescently) tagged hard-core interacting particles of finite size in a finite one-dimensional system. We find an exact analytical expression for the tagged particle probability density using a coordinate Bethe-ansatz, from which the mean square displacement is calculated. The analysis show the existence of three regimes of drastically different behavior for short, intermediate and large times. The results show excellent agreement with stochastic simulations (Gillespie algorithm). The findings of the Letter holds promise for the development of novel bio-nano sensors.
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PDF链接:
https://arxiv.org/pdf/801.0563


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