论文标题
部分可观测时空混沌系统的无模型预测
Structure of ionic liquids and concentrated electrolytes from a mesoscopic theory
论文作者
论文摘要
最近，在实验中发现了浓缩电解质中的下划线，并在模拟和理论中得到了证实。发现电荷充电相关性的相关长度（$λ_s$）满足缩放关系$λ_s/λ_d\ sim（a/λ_d）^n $，其中$λ_d$是debye筛选的长度，$ a $ a $是Ioniciic Diameter。但是，在不同的研究中发现了不同的n值。在这项工作中，我们在中载理论中解决了这一难题，该理论与实验一致，但仅考虑了非常高的离子[A. A. Ciach A.和O. Patsahan，{\ it J.Phys。：Condens。物质} {\ textbf 33}，37LT01（2021）]。在这里，我们将理论应用于更广泛的离子密度范围，并发现上述缩放中的不同值可以产生$λ_s/λ_d$的公平近似值，对于$ a/λ_d$的不同范围的不同范围。实验发现的缩放率的价格为$ 2 <a/λ_d<4 $，我们发现相同降低的debye长度的n = 3。对于较小的$ a/λ_d$，我们发现在几个模拟和理论研究中获得的n = 2，并且仍然更接近Kirkwood线，我们获得了n = 1.5，在不同的作品中也预测了n = 1.5。从我们的理论来看，当局部电荷密度的差异较大，而$λ_s$与该方差时间bjerrum长度成正比时，n = 3（即$λ_s$与离子密度成正比）。提出了该理论的详细推导。
Recently, underscreening in concentrated electrolytes was discovered in experiments and confirmed in simulations and theory. It was found that the correlation length of the charge-charge correlations, $λ_s$, satisfies the scaling relation $λ_s/λ_D\sim (a/λ_D)^n$, where $λ_D$ is the Debye screening length and $a$ is the ionic diameter. However, different values of n were found in different studies. In this work we solve this puzzle within the mesocopic theory that yielded n=3 in agreement with experiments, but only very high densities of ions were considered [A. Ciach A. and O. Patsahan, {\it J.Phys.: Condens. Matter} {\textbf 33}, 37LT01 (2021)]. Here we apply the theory to a broader range of density of ions and find that different values of n in the above scaling can yield a fair approximation for $λ_s/λ_D$ for different ranges of $a/λ_D$. The experimentally found scaling holds for $2 <a/λ_D<4$, and we find n=3 for the same range of the reduced Debye length. For smaller $a/λ_D$, we find n=2 obtained earlier in several simulation and theoretical studies, and still closer to the Kirkwood line we obtain n=1.5 that was also predicted in different works. It follows from our theory that n=3 (i.e. $λ_s$ is proportional to the density of ions) when the variance of the local charge density is large, and $λ_s$ is proportional to this variance times the Bjerrum length. Detailed derivation of the theory is presented.
