回应斯马伦堡：近熔化成核与硬球成核时间的指数增长
Reply to Smallenburg: Near-melting nucleation and the exponential growth of hard-sphere nucleation times
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中文总结 AI 辅助
针对斯马伦堡的评论，本文指出其结论有误，重申体积分数偏离53%仅零点几，硬球成核时间就会天文数字增长，该现象源于弗伦克尔的熵交换机制，还提供计算纠正误解。
中文摘要 AI 辅助
斯马伦堡在对我们近期《视角》的评论中，报告了近熔点模拟结果，观察到了符合预期的混合有限时间形态的自发成核。该评论的错误广义结论——平衡共存“极易实现”——基于对相包络附近单一状态点的未经验证的概括，且完全忽略了弗伦克尔提出的潜在机制所起的关键作用。我们重申该评论忽略的核心要点：体积分数仅偏离53%的十分之几，成核时间就会天文数字般增长。这一现象源于弗伦克尔描述的熵交换机制，该机制预测，从熔点向下约53%的体积分数范围内，自发相分离在动力学上是可及的，而在相包络的其余大部分区域，等待时间则呈天文数字般漫长。我们在此提供计算结果，以纠正该评论造成的潜在误解。
英文摘要
Smallenburg reports near-melting point simulations and observes a well-predicted spontaneous nucleation with mixed, finite-time morphology, in a Comment on our recent Perspective. The Comment's incorrect broader takeaway --- that equilibrium coexistence is "readily achievable" --- rests on an untested generalization from a single state point near the phase envelope, and misses entirely the intriguing role played by Frenkel's underlying mechanism. We reiterate the salient point missed by the Comment: the nucleation time grows astronomically with just tenths of a percent of volume fraction away from 53%. This phenomenology emerges from the entropy exchange mechanism Frenkel described, which predicts that spontaneous phase separation is dynamically accessible only down to about 53% volume fraction from the melting point, and astronomically long waiting times through most of the remaining phase envelope. We provide here calculations to address the potential misconception created by the Comment.
