On invariance of specific mass increment in the case of non-equilibrium growth

TL;DR

This paper uses the maximum entropy production principle to establish the invariance of specific mass increments in non-equilibrium crystalline growth, proposing a universal growth equation and exploring its relevance to biological growth.

Contribution

It introduces the first theoretical grounding of invariance of specific mass increments in non-equilibrium growth using entropy principles and proposes a universal growth model.

Findings

Invariance of specific mass increments is theoretically grounded.

A universal growth equation is proposed based on dimensional analysis.

Applicability to biological growth is discussed.

Abstract

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