Kirkaldy J S
Biophys J. 1965 Nov;5(6):965-79. doi: 10.1016/S0006-3495(65)86762-5.
The causal element of biological evolution and development can be understood in terms of a potential function which is generalized from the variational principles of irreversible thermodynamics. This potential function is approximated by the rate of entropy production in a configuration space which admits of macroscopic excursions by fluctuation and regression as well as microscopic ones. Analogously to Onsager's dissipation function, the potential takes the form of a saddle surface in this configuration space. The path of evolution following from an initial high dissipation state within the fixed constraint provided by the invariant energy flux from the sun tends toward the stable saddle point by a series of spontaneous regressions which lower the entropy production rate and by an alternating series of spontaneous fluctuations which introduce new internal constraints and lead to a higher entropy production rate. The potential thus rationalizes the system's observed tendency toward "chemical imperialism" (high dissipation) while simultaneously accommodating the development of "dynamic efficiency" and complication (low dissipation).
生物进化与发展的因果要素可依据一个从不可逆热力学变分原理推广而来的势函数来理解。这个势函数在一个构型空间中由熵产生率近似表示,该构型空间既允许通过涨落和回归进行宏观偏移,也允许微观偏移。类似于昂萨格的耗散函数,这个势在该构型空间中呈鞍面形式。在太阳恒定能量通量所提供的固定约束内,从初始高耗散状态开始的进化路径,通过一系列降低熵产生率的自发回归以及交替出现的引入新内部约束并导致更高熵产生率的自发涨落,趋向于稳定的鞍点。因此,这个势使系统观察到的向“化学帝国主义”(高耗散)的趋势合理化,同时又能兼顾“动态效率”和复杂性(低耗散)的发展。