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

doi:10.1088/1674-1056/24/9/090502

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

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

L. M. Martyushev^{a b}, A. P. Sergeev^b, P. S. Terentiev^a

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. Martyushev^{a b}, A. P. Sergeev^b, P. S. Terentiev^a

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/Abstract

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:

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)

L. M. Martyushev, A. P. Sergeev, P. S. Terentiev. Invariance of specific mass increment in the case of non-equilibrium growth[J]. 中国物理B, 2015, 24(9): 90502-090502.

L. M. Martyushev, A. P. Sergeev, P. S. Terentiev. Invariance of specific mass increment in the case of non-equilibrium growth[J]. Chin. Phys. B, 2015, 24(9): 90502-090502.

参考文献 21

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[17]	Martyushev L M and Terentiev P S 2014 ArXiv: q-bio/1404.4318
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[19]	Therefore, for instance, a crystal growing in a solution accumulates impurities and other defects on its surface with time, which significantly influence the rate of growth.
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Invariance of specific mass increment in the case of non-equilibrium growth

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

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