摘要翻译:
在自引力恒星、二维或地球物理流和等离子体中,长程相互作用意味着能量缺乏可加性;因此,通常的热力学极限是不合适的。然而,与许多主张相反,这类系统的平衡统计力学是一个很好理解的主题。本文从第一性原理出发,简要地解释了这些系统平衡态和非平衡态统计力学的经典方法。我们强调最近和新的结果,主要是平衡相变的分类,新的未观察到的平衡相变,和不平衡相变。我们简要地讨论一下我们认为这一领域的挑战。
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英文标题:
《Equilibrium and out of equilibrium phase transitions in systems with
long range interactions and in 2D flows》
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作者:
Freddy Bouchet (INLN), Julien Barr\'e (JAD), Antoine Venaille (LEGI)
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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: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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一级分类:Physics 物理学
二级分类:Fluid Dynamics 流体动力学
分类描述:Turbulence, instabilities, incompressible/compressible flows, reacting flows. Aero/hydrodynamics, fluid-structure interactions, acoustics. Biological fluid dynamics, micro/nanofluidics, interfacial phenomena. Complex fluids, suspensions and granular flows, porous media flows. Geophysical flows, thermoconvective and stratified flows. Mathematical and computational methods for fluid dynamics, fluid flow models, experimental techniques.
湍流,不稳定性,不可压缩/可压缩流,反应流。气动/流体力学,流体-结构相互作用,声学。生物流体力学,微/纳米流体力学,界面现象。复杂流体,悬浮液和颗粒流,多孔介质流。地球物理流,热对流和层流。流体动力学的数学和计算方法,流体流动模型,实验技术。
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英文摘要:
In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with many claims, the equilibrium statistical mechanics of such systems is a well understood subject. In this proceeding, we explain briefly the classical approach to equilibrium and non equilibrium statistical mechanics for these systems, starting from first principles. We emphasize recent and new results, mainly a classification of equilibrium phase transitions, new unobserved equilibrium phase transition, and out of equilibrium phase transitions. We briefly discuss what we consider as challenges in this field.
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PDF链接:
https://arxiv.org/pdf/802.267