Siódmiak Jacek, Gadomski Adam
Institute of Mathematics and Physics (Group of Modeling of Physicochemical Processes), Faculty of Chemical Technology and Engineering, Bydgoszcz University of Science and Technology, 85-796 Bydgoszcz, Poland.
Entropy (Basel). 2022 May 9;24(5):663. doi: 10.3390/e24050663.
This communication addresses the question of the far-from-equilibrium growth of spherulites with different growing modes. The growth occurs in defects containing and condensed matter addressing environments of (bio)polymeric and biominerals involving outcomes. It turns out that it is possible to anticipate that, according to our considerations, there is a chance of spherulites' emergence prior to a pure diffusion-controlled (poly)crystal growth. Specifically, we have shown that the emergence factors of the two different evolution types of spherulitic growth modes, namely, diffusion-controlled growth and mass convection-controlled growth, appear. As named by us, the unimodal crystalline Mullins-Sekerka type mode of growth, characteristic of local curvatures' presence, seems to be more entropy-productive in its emerging (structural) nature than the so-named bimodal or Goldenfeld type mode of growth. In the latter, the local curvatures do not play any crucial roles. In turn, a liaison of amorphous and crystalline phases makes the system far better compromised to the thermodynamic-kinetic conditions it actually, and concurrently, follows. The dimensionless character of the modeling suggests that the system does not directly depend upon experimental details, manifesting somehow its quasi-universal, i.e., scaling addressing character.
本文探讨了具有不同生长模式的球晶远离平衡生长的问题。生长发生在包含缺陷和凝聚物质的环境中,这些环境涉及(生物)聚合物和生物矿物质的生成。结果表明,根据我们的考虑,可以预期在纯扩散控制的(多)晶体生长之前,有可能出现球晶。具体而言,我们已经表明,出现了两种不同演化类型的球晶生长模式的出现因素,即扩散控制生长和质量对流控制生长。正如我们所命名的,具有局部曲率存在特征的单峰晶体穆林斯 - 塞卡型生长模式,在其出现(结构)性质上似乎比所谓的双峰或戈德菲尔德型生长模式更具熵产生效率。在后者中,局部曲率不发挥任何关键作用。反过来,非晶相和晶相的联系使系统更好地适应其实际遵循的热力学 - 动力学条件。建模的无量纲特性表明,该系统不直接依赖于实验细节,以某种方式体现了其准通用的,即标度相关的特性。