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arXiv 1111.0155cond-mat.softcond-mat.dis-nncond-mat.stat-mech
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周期势场约束下流体的模式耦合玻璃化转变

The mode-coupling glass transition in a fluid confined by a periodic potential

Saroj Kumar Nandi, Sarika Maitra Bhattacharyya, Sriram Ramaswamy

摘要:

我们表明,在强空间周期约束下的流体显示模式耦合理论(MCT)内的玻璃化转变在一个比相应的散装系统的密度低得多。我们使用波动的流体力学,通过一个周期性的潜力,其波长在我们的治疗中起着重要作用的限制。为了使计算易于处理,我们在一维中实现了详细的计算。虽然我们并不期望简单的一维流体表现出玻璃化转变,我们的研究结果表明,在更高的维度预期的行为。在参数空间的某个区域中,我们观察到最近在计算机模拟中报道的三步弛豫[S.H. Krishnan,博士论文,印度科学研究所(2005年); Kim等人,EUR. J-ST 189,135-139(2010)]和玻璃-玻璃转变。我们将我们的结果与Krakoviack,PRE 75,031503(2007)和Lang等人的结果进行了比较,PRL 105,125701(2010)。

英文摘要:

We show that a fluid under strong spatially periodic confinement displays a glass transition within mode-coupling theory (MCT) at a much lower density than the corresponding bulk system. We use fluctuating hydrodynamics, with confinement imposed through a periodic potential whose wavelength plays an important role in our treatment. To make the calculation tractable we implement a detailed calculation in one dimension. Although we do not expect simple 1d fluids to show a glass transition, our results are indicative of the behaviour expected in higher dimensions. In a certain region of parameter space we observe a three-step relaxation reported recently in computer simulations [S.H. Krishnan, PhD thesis, Indian Institute of Science (2005); Kim et al., Eur. Phys. J-ST 189, 135-139 (2010)] and a glass-glass transition. We compare our results to those of Krakoviack, PRE 75, 031503 (2007) and Lang et al., PRL 105, 125701 (2010).

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