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arXiv 0709.2355nucl-thhep-phhep-thnucl-ex
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相对论因果流体力学的系统展开

A systematic expansion for relativistic causal hydrodynamics

Sourendu Gupta

摘要:

一个系统的扩展的玻尔兹曼方程的扩散稀释示踪剂,在权力的克努森数,进行到下一个领先的顺序(NLO),给出了相对论因果扩散方程(凯利方程)。使用无量纲的动力学量的组合,我们表明,当小NLO项起着至关重要的作用。我们继续表明,凯利方程的推导从微观理论的关联函数的数量密度的扩散是可能的。相关器满足扩散常数的格林-久保关系,以及超越纯粹现象学因果理论的f-和。我们认为,建设推广到全流体动力学方程。

英文摘要:

A systematic expansion of the Boltzmann equation for the diffusion of dilute tracers, in powers of the Knudsen number, carried out to next-to-leading order (NLO), gives the relativistic causal diffusion equation (Kelly's equation). Using dimensionless combinations of dynamical quantities, we show when the small NLO term plays a crucially important role. We proceed to show that a derivation of Kelly's equation from a microscopic theory of the correlation function of the number density of diffusers is possible. The correlator fulfils the Green-Kubo relation for the diffusion constant, as well as an f-sum which goes beyond a purely phenomenological causal theory. We argue that the construction generalizes to the full hydrodynamic equations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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