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Evolution of cluster size-distributions in nucleation-growth and spinodal decomposition processes in a regular solution

机译:规则解中成核-生长和旋节线分解过程中簇尺寸分布的演化

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摘要

Nucleation-growth and spinodal decomposition processes are two of the basic mechanisms first-order phase transitions - like condensation and boiling, segregation or crystallization and melting - may proceed. Their adequate theoretical description is essential in order to understand the basis mechanisms of self-structuring of matter at nano-scale dimensions. The basic features of evolution of cluster size-distributions are discussed in detail both for meta-stable (nucleation) and unstable (spinodal decomposition) initial states for a simple model of a binary mixture. The results are obtained by the numerical solution of a set of kinetic equations where the thermodynamics of cluster formation is formulated based on the generalized Gibbs' method. It is shown, that nucleation will not proceed, in general (especially in meta-stable initial states near to the spinodal curve), via the saddle point but in trajectories of evolution by-passing the saddle point. For systems in unstable initial states, spinodal decomposition can proceed similarly to nucleation forming clusters evolving to the new phase via the ridge of the thermodynamic potential hyper-surface.
机译:成核生长和旋节线分解过程是可能发生一阶相变的两个基本机制,如凝结和沸腾,偏析或结晶和熔化。为了理解纳米尺度上物质自我结构化的基本机制,它们的充分理论描述是必不可少的。对于二元混合物的简单模型,讨论了亚稳态(成核)和不稳定(爆炸分解)初始状态的簇尺寸分布演化的基本特征。通过一组动力学方程的数值解获得了结果,在动力学方程中,基于广义的吉布斯方法建立了团簇形成的热力学。结果表明,成核通常不会通过鞍点进行(特别是在接近旋节线的亚稳态初始状态),而是在绕过鞍点的演化轨迹中进行。对于处于不稳定初始状态的系统,旋节线分解可以类似于成核过程,通过热力学势超表面的脊演化成新相,从而形成团簇。

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