The balance equations for micromorphic materials with mass flux and mass production are determined based on the phenomenon of self-diffusion. In this study, the self-diffusive flux is the flux of mass of a single micromorphic species within itself which is captured by defining the relative macro-element spatial velocity vector and the relative micro-gyration tensor. By use of a binary micromorphic mixture theory, the self-diffusion of a single micromorphic species within itself results in an extra diffusive momentum field, an extra diffusive moment of momentum and their respective non-compliant terms. The concepts of the macro- and micro-mass flux are studied in the framework of the micromorphic theory. Furthermore, based on the Clausius-Duhem principle, admissible constitutive equations are presented for the diffusive and non-compliant quantities.

基于自扩散现象，确定了具有质量通量和量产的微晶材料的平衡方程。在这项研究中，自扩散通量是其内部单个微形态物种的质量通量，它是通过定义相对宏元素空间速度矢量和相对微旋转张量来捕获的。通过使用二进制微形态混合理论，单个微形态物种在自身内部的自扩散会导致额外的扩散动量场，额外的扩散动量矩以及它们各自的非顺应项。在微形理论的框架内研究了宏观和微观质量通量的概念。此外，基于克劳修斯-杜海姆原理，提出了扩散量和非顺应量的容许本构方程。