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摘要翻译：
用符合玻尔兹曼-吉布斯统计量(BG)的方法描述了局部平衡布朗粒子气体在非平衡热浴中的温度涨落动力学。我们用介观非平衡态热力学(MNET)导出了包含局部强变量涨落的相空间概率分布的Fokker-Planck方程。我们压缩描述得到了一个有效的概率分布(EPD)，由此得到了系统的质量密度、van Hove函数和动态结构因子。主要结果表明，在长时间内EPD表现出与非扩展统计力学(NESM)的超统计分布相似的行为，从而表明粗粒化过程是所谓的非扩展效应的原因。
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英文标题：
《Superstatistics of Brownian motion: A comparative study》
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作者：
R. F. Rodriguez, I. Santamaria-Holek
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最新提交年份：
2007
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分类信息：
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：
The dynamics of temperature fluctuations of a gas of Brownian particles in local equilibrium with a nonequilibrium heat bath, are described using an approach consistent with Boltzmann-Gibbs statistics (BG). We use mesoscopic nonequilibrium thermodynamics (MNET) to derive a Fokker-Planck equation for the probability distribution in phase space including the local intensive variables fluctuations. We contract the description to obtain an effective probability distribution (EPD) from which the mass density, van Hove's function and the dynamic structure factor of the system are obtained. The main result is to show that in the long time limit the EPD exhibits a similar behavior as the superstatistics distribution of nonextensive statistical mechanics (NESM), therfore implying that the coarse-graining procedure is responsible for the so called nonextensive effects.
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PDF链接：
https://arxiv.org/pdf/706.0436
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