摘要翻译:
我们研究了有限模量子系统的输运行为。最近用不同的方法对这些系统进行了分析。这些方法甚至表明了扩散行为,特别是对于有限系统。受这些结果的启发,我们分析和数值分析了这些系统的动力学是否和在什么意义上符合适当的玻尔兹曼方程。我们发现某种有限模量子系统的输运行为确实可以用玻尔兹曼方程来描述。然而,玻尔兹曼方程的适用性似乎相当局限于一种非常特殊的模型类型。
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英文标题:
《Boltzmann equation approach to transport in finite modular quantum
systems》
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作者:
Mehmet Kadiroglu, Jochen Gemmer
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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:
We investigate the transport behavior of finite modular quantum systems. Such systems have recently been analyzed by different methods. These approaches indicate diffusive behavior even and especially for finite systems. Inspired by these results we analyze analytically and numerically if and in which sense the dynamics of those systems are in agreement with an appropriate Boltzmann equation. We find that the transport behavior of a certain type of finite modular quantum systems may indeed be described in terms of a Boltzmann equation. However, the applicability of the Boltzmann equation appears to be rather limited to a very specific type of model.
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PDF链接:
https://arxiv.org/pdf/706.3607