显微构造与耗散结构

普瑞高津提出的耗散结构理论已广泛地应用于自然科学的各个学科,本文借鉴于这一理论,从构造变动的透入性,显微构造的有序性这一基本事实出发,阐明在开放系统的耗散过程中,由于压力的需散作用,湿热的扩散作用和溶液的耗散作用,所形成的输运过程的功能作用与透入性的显微构造有着内在的成因联系。并进一步对构造演变的连续性和阶段性的全过程予以合理解释。     

一类非线性泛函积分——微分方程的整体吸引子

本讨论了一类非线性泛函积分一微分方程,通过若干积分、微分不等式,建立了非线性积分一微分方程的整体吸引子,获得了判定非线性积分一微分方程吸引域的方法。     

A multiscale view in functional materials

Functional materials show various highly demanded performances originating from intrinsic features related to degrees of freedom in a lattice framework. Presently, deep physical or chemical insights of quantum materials stimulate researchers to clarify multiscale processes within both materials and devices, which may be understood as functional materials that possess energy origin beyond electron contribution. It is of great significance for the design of functional materials to understand the sources of properties of functional materials from the perspective of multi degrees of freedom via multiscale research methods. This short review illustrates the importance and explores the energy source of functional materials from multiple degrees of freedom perspectives. Moreover, we analyzed the multiple degrees of freedom within lithium niobate single crystals to clarify their multiscale features. This short review may, in some cases, provide a perspective for enhancing research scopes of functional materials and recommending some methodologies from multiple degrees of freedom perspectives.