手性聚合：封闭体系中的对称性破缺和熵产生
Chiral polymerization: symmetry breaking and entropy production in closed systems
摘要：
我们解决数值的手性聚合动力学模型在系统中接近物质和能量流，特别强调其能力，以放大小的初始对映体过量由于内部和不可避免的统计波动。反应步骤被假定为可逆的，这意味着一些速率常数之间的热力学约束。该方案实现了完全不对称合成。该体系在消旋前能长时间保持在准稳态手性不对称态.强抑制导致长周期手性振荡的对映体过量的最长的均聚物链。我们还计算了单位体积的熵产生σ，并表明σ在手征对称性破缺跃迁之前或附近增加到一个峰值。
英文摘要：
We solve numerically a kinetic model of chiral polymerization in systems closed to matter and energy flow, paying special emphasis to its ability to amplify the small initial enantiomeric excesses due to the internal and unavoidable statistical fluctuations. The reaction steps are assumed to be reversible, implying a thermodynamic constraint among some of the rate constants. Absolute asymmetric synthesis is achieved in this scheme. The system can persist for long times in quasi- stationary chiral asymmetric states before racemizing. Strong inhibition leads to long-period chiral oscillations in the enantiomeric excesses of the longest homopolymer chains. We also calculate the entropy production σ per unit volume and show that σ increases to a peak value either before or in the vicinity of the chiral symmetry breaking transition.
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