Modern quantum theory and computer simulation in nanotechnologies: quantum topology approaches to kinematic and dynamic structures of self-assembling processes

• Published in: Materials Science & Engineering C 2002-01, Vol.19 (1), p.369-372
• Main Author: Beznosyuk, S.A
• Format: Article
• Language: English
• Subjects: Cluster; Confinement; Nanosystem; Quantum topology; Self-assembling; Swarming
• ISSN: 0928-4931; 1873-0191
• DOI: 10.1016/S0928-4931(01)00417-9

Some exact mathematical statements and decision of the problem of self-assemble effects in nanosystems are given within the framework of the quantum topological approach. Obtained results are as follows. An elementary self-assembling process on microscopic level of material is a confined compact chemical particle evolution that has quantum mechanical kinematic and dynamic structures. The process has a domain in the event space allocated given duration and some spatial–temporary organization, which result from the fundamental indeterminacy principle of quantum theory and finiteness of electromagnetic signal velocity. On mesoscopic level, there are topological intersections between compact chemical particles, which form topology of quantum statistical processes of self-assembling within extended exchanging cluster nanosystem. Basic reasons of self-organizing are short-range exchange interactions between chemical particles and stochastic influences of quantum statistical phase fluctuations of exchange statistical operators of their intersections. The only formation exchange clusters of chemical particles cause occurrence of a level, which evolves under the laws of quantum statistics. Exchange pasting of compact chemical particles within cluster sets information resources of nanosystem. On macroscopic level of self-assembling in materials, there are only classical fundamental forces between separate compact nanosystems, which form thermo-statistical system of self-assemblage units. So there is hierarchy of self-organizing processes in the form of a triad feedback levels: quantum mechanical level inside chemical particles, quantum statistical level inside exchange clusters of nanosystems, and thermo-statistical level of self-assembly system imbedded in thermostat. Computer simulations of self-assembling confinement of H atom inside nanosystem illustrate theory.