中国物理B ›› 2015, Vol. 24 ›› Issue (9): 90502-090502.doi: 10.1088/1674-1056/24/9/090502

• GENERAL • 上一篇    下一篇

Invariance of specific mass increment in the case of non-equilibrium growth

L. M. Martyusheva b, A. P. Sergeevb, P. S. Terentieva   

  1. a Ural Federal University, 19 Mira Str., Ekaterinburg 620002, Russia;
    b Institute of Industrial Ecology, 20 S. Kovalevskoy Str., Ekaterinburg 620219, Russia
  • 收稿日期:2015-01-27 修回日期:2015-03-23 出版日期:2015-09-05 发布日期:2015-09-05

Invariance of specific mass increment in the case of non-equilibrium growth

L. M. Martyusheva b, A. P. Sergeevb, P. S. Terentieva   

  1. a Ural Federal University, 19 Mira Str., Ekaterinburg 620002, Russia;
    b Institute of Industrial Ecology, 20 S. Kovalevskoy Str., Ekaterinburg 620219, Russia
  • Received:2015-01-27 Revised:2015-03-23 Online:2015-09-05 Published:2015-09-05
  • Contact: L. M. Martyushev E-mail:leonidmartyushev@gmail.com

摘要:

The invariance of specific mass increments of crystalline structures that co-exist in the case of non-equilibrium growth is grounded for the first time by using the maximum entropy production principle. Based on the hypothesis of the existence of a universal growth equation, and through the dimensional analysis, an explicit form of the time-dependent specific mass increment is proposed. The applicability of the obtained results for describing growth in animate nature is discussed.

关键词: entropy production, universal growth equation

Abstract:

The invariance of specific mass increments of crystalline structures that co-exist in the case of non-equilibrium growth is grounded for the first time by using the maximum entropy production principle. Based on the hypothesis of the existence of a universal growth equation, and through the dimensional analysis, an explicit form of the time-dependent specific mass increment is proposed. The applicability of the obtained results for describing growth in animate nature is discussed.

Key words: entropy production, universal growth equation

中图分类号:  (Nonequilibrium and irreversible thermodynamics)

  • 05.70.Ln
81.10.Aj (Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation) 87.19.lx (Development and growth)