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首页> 外文期刊>World Journal of Mechanics >Asymptotic Models for Studying Kinetics of Formation of Compact Objects with Strong Internal Bonds
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Asymptotic Models for Studying Kinetics of Formation of Compact Objects with Strong Internal Bonds

机译：研究具有强内键的紧凑物体形成动力学的渐近模型

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An asymptotic method has been developed for investigation of kinetics of formation of compact objects with strong internal bonds. The method is based on the uncertainty relation for a coordinate and a momentum in space of sizes of objects (clusters) with strongly pronounced collective quantum properties resulted from exchange interactions of various physical nature determined by spatial scales of the processes under consideration. The proposed phenomenological approach has been developed by analogy with the all-known ideas about coherent states of quantum mechanical oscillator systems for which a product of coordinate and momentum uncertainties (dispersions) accepts the value, which is minimally possible within uncertainty relations. With such an approach the leading processes are oscillations of components that make up objects, mainly: collective nucleon oscillations in a nucleus and phonon excitations in a mesostructure crystal lattice. This allows us to consider formation and growth of subatomic and mesoscopic objects in the context of a single formalism. The proposed models adequately describe characteristics of formation processes of nuclear matter clusters as well as mesoscopic crystals having covalent and quasi-covalent bonds between atoms.
机译：已经开发出一种渐进方法来研究具有强内部键的紧密物体的形成动力学。该方法基于对象（簇）大小空间中的坐标和动量的不确定性关系，这些对象具有明显的集体量子特性，这是由所考虑的过程的空间尺度决定的各种物理性质的交换相互作用导致的。拟议的现象学方法是通过与量子机械振荡器系统相干态的所有已知概念类比地开发的，对于该量子力学振荡器系统，相干和动量不确定性（色散）的乘积接受该值，这在不确定性关系内是最小的。通过这种方法，主要的过程是构成对象的组件的振荡，主要是：原子核中的集体核子振荡和介观结构晶格中的声子激发。这使我们能够在单一形式主义的背景下考虑亚原子和介观物体的形成和生长。提出的模型充分描述了核物质团簇以及原子间具有共价键和准共价键的介观晶体的形成过程的特征。

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