arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1111.5507physics.flu-dyncond-mat.stat-mech
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如何在超临界颗粒气体中使麦克斯韦恶魔分岔

How one can make the bifurcation of Maxwell's demon in Granular Gas Hyper-Critical

P. Evesque

摘要:

从麦克斯韦的恶魔实验的实验数据对粒状气体进行了重新审视。结果表明,当振动频率不断增加时,相变性质通过三临界点由临界向亚临界转变。因此,(i)过渡并不是如前所述的超临界,但(ii)与其他频率下的波动幅度相比,波动幅度在三临界点处自发增强。因此,(iii)这一分析仍然与最近的一项研究相矛盾,该研究声称分叉总是关键的,并且波动仅取决于晶粒的数量。此外,(iv)它提出了一种方法来建立一个实验,基于一些修改的“麦克斯韦恶魔在颗粒气体”设置,它经历了超临界分叉,与使用一些控制反馈的流量。这最后一个想法可以推广并用于分叉理论适用的其他领域,即物理学,化学,人口动态学,经济学,以改善监管,但产生超波动。最后,它表明,动力学的结果是敏感的非常细节的规定。

英文摘要:

Experimental data from Maxwell's demon experiments on granular gas are revisited. It is shown that the transition nature changes from critical to sub-critical via a tri-critical point when frequency of vibration is increased continuously. So (i) the transition is not hyper-critical as asserted previously, but (ii) the fluctuations amplitude is spontaneously reinforced at the tri-critical point compared to the one at other frequencies. So, (iii) this analysis still contradicts a recent study which asserts that the bifurcation is always critical, and that fluctuations shall depend on the number of grains only. Beside, (iv) it is proposed a way to build an experiment, based on some modification of the "Maxwell's demon in granular gas" set up, which undergoes a hyper-critical bifurcation, with the use of some controlled feed-back of the flows. This last idea can be generalised and used in other domains where bifurcation theory applies, i.e. physics, chemistry, population dynamics, economy, to improve regulation, but generating hyper- fluctuations. Finally it is shown that the dynamical result is sensitive to the very-details of the regulation.

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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