Search

In classical systems, our recent theoretical study provides new insight into how spatial constraint on the system connects with macroscopic properties, which lead to universal representation of equilibrium macroscopic physical property and structure in disordered states. These important characteristics rely on the fact that statistical interdependence for density of microscopic states (DOMS) in configuration space appears numerically vanished at thermodynamic limit for a wide class of spatial constraints, while such behavior of the DOMS is not quantitatively well-understood so far. The present study theoretically address this problem based on the Random Matrix with Gaussian Orthogonal Ensemble, where corresponding statistical independence is mathematically guaranteed. Using the generalized Ising model, we confirm that lower-order moment of density of eigenstates (DOE) of covariance matrix of DOMS shows asymptotic behavior to those for Random Matrix with increase of system size. This result supports our developed theoretical approach, where equilibrium macroscopic property in disordered states can be decomposed into individual contribtion from each generalized coordinate with the sufficiently high number of constituents in the given system, leading to representing equilibrium macroscopic properties by a few special microscopic states.

研究, 二村重博教授 定年退職記念号

Synthetic mica has more high thermostability than natural mica and can be controlled expandability and cation-exchange-capacity (CEC) by changing magnitude of effective-layer-charge (ELC). In this study, we prepared lithium-type tetra silicic mica (Li-TSM) from Na-TSM by ion exchange method. This mica is one of the expansible synthetic fluoro mica but a few details had been attempted. The negative charge in silicate layer of Li-TSM can be controlled by adjusting the amount of Al3+-fixation, and the CEC is controllable. When the CEC of Li-TSM had been controlled by partially fixation of Al3+ to Li-TSM ((Al, Li)-HTSM), their swelling ability increased and their introducable capacity of organic compounds into interlayer also increased more than Na-TSM. Furthermore, the composites of (Al, Ag)-HTSM, which is Ag+-exchanged complex from (Al, Li)-HTSM, and (Al, Ag)-HTSM-TBZ (thiazole) complex, which has antifungal activity, was synthesized. The rate of elution of Ag+ from this TBZ composite was inhibited than (Al, Ag)-HTSM. We thought that this was caused by chelation of Ag+ and TBZ in interlayer. These composites had an antimicrobial and antifungal activity and this activity was observed for samples heat-treated up to at 400°C where TBZ in TSM interlayer decomposed completely.

Recently, we clarify connection of spatial constraint and equilibrium macroscopic properties in disordered states of classical system under the fixed composition; namely few special microscopic states, independent of constituent elements, can describe macroscopic properties. In this study, we extend our developed approach to composition-unfixed system. Through this extension in binary system, we discover a single special microscopic state to determine not only composition but also Helmholtz free energy measured from unary system, which has not been described by a single state., Comment: 6 pages, 5 figures