Intrinsic Matching Frustration in Fluctuating Finite Systems
Abstract
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.
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BibTeX
@misc{rubinovich2026intrinsic,
title = {{Intrinsic Matching Frustration in Fluctuating Finite Systems}},
author = {Leonid Rubinovich and Micha Polak},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.03549},
eprint = {2607.03549},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.03549},
}
RIS
TY - UNPB
TI - Intrinsic Matching Frustration in Fluctuating Finite Systems
AU - Leonid Rubinovich
AU - Micha Polak
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2607.03549
UR - https://arxiv.org/abs/2607.03549
AB - 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.
ER -