波动有限系统中的内在匹配受挫
Intrinsic Matching Frustration in Fluctuating Finite Systems
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中文总结 AI 辅助
研究有限系统中因平衡涨落导致相互作用成分匹配内在不完整,提出内在匹配受挫概念,给出Skellam分布精确解,揭示其对相关过程的限制及普遍标度行为。
中文摘要 AI 辅助
我们表明,由于平衡涨落,有限系统中相互作用成分之间的匹配本质上是不完整的。虽然有限总体中的涨落是统计力学中既定的特征,但其对需要同时匹配的过程的直接影响尚未明确阐述。我们将这种效应形式化为内在匹配受挫(IMF),这是一种普遍的统计约束。IMF对化学反应、分子结合等有影响,补充了统计力学中有限尺寸和平衡涨落效应的描述。
英文摘要
We formulate intrinsic matching frustration (IMF), a fluctuation-induced, kinetics-independent reduction in the mean capacity permitted by a prescribed matching rule. For complementary one-to-one matching, the instantaneous capacity is set by the minority population, so fluctuations produce a nonzero mean deficit even when the two populations are balanced on average. At finite size, this deficit depends on the full distribution of the population difference and is determined by its variance alone only in the Gaussian limit. Compartmentalization hides matching capacity by preventing cancellation between local imbalances of opposite sign. Fusion releases this hidden capacity monotonically under coarse graining, producing a measurable recovery of product yield following local reaction to completion.
发表机构
- Ben-Gurion University of the Negev(内盖夫本-古里安大学)
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