Dipartimento di Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy.
J Phys Condens Matter. 2012 Feb 15;24(6):064109. doi: 10.1088/0953-8984/24/6/064109. Epub 2012 Jan 25.
In this paper we analyze molecular dynamics simulation results on supercooled water in a MCM-41 pore in order to test the mode coupling theory. A layer analysis must be performed for water in the pore in order to exclude the contribution of water bound to the strongly hydrophilic surface. Upon supercooling a range of temperatures is reached where the liquid follows the mode coupling theory. From the power law behavior of the relaxation times extracted from the Kohlrausch-William-Watts fit to the self-intermediate scattering function, we obtain the crossover temperature T(C) and the γ exponent of the theory. The time-temperature superposition principle is also satisfied. A fit to the von Schweidler law yields a coefficient b from which all the other parameters of the theory have been calculated. In particular, we obtained the same value of γ as extracted from the power law fit to the relaxation times, in agreement with the requirements of the theory. For very low temperatures, the mode coupling theory no longer holds as hopping processes intervene and water turns its behavior to that of a strong liquid.
本文分析了在 MCM-41 孔中超冷水中的分子动力学模拟结果,以检验模式耦合理论。为了排除与强亲水性表面结合的水的贡献,必须对孔中的水进行层分析。在过冷时,达到了液体遵循模式耦合理论的一系列温度。从自中间散射函数的 Kohlrausch-William-Watts 拟合中提取的弛豫时间的幂律行为,我们得到了交叉温度 T(C)和理论的γ指数。时间-温度叠加原理也得到满足。对 von Schweidler 定律的拟合得到了系数 b,由此计算出了理论的所有其他参数。特别是,我们从弛豫时间的幂律拟合中得到了与γ相同的值,这与理论的要求一致。对于非常低的温度,模式耦合理论不再适用,因为跳跃过程的介入使水的行为转变为强液体的行为。