Strong ensemble nonequivalence in systems with local constraints
نویسندگان
چکیده
Abstract The asymptotic equivalence of canonical and microcanonical ensembles is a central concept in statistical physics, with important consequences for both theoretical research practical applications. However, this property breaks down under certain circumstances. most studied violation ensemble requires phase transitions, which case it has ‘restricted’ (i.e. confined to region parameter space) but ‘strong’ characterized by difference between the entropies two that same order as themselves) form. recent on networks shown presence an extensive number local constraints can lead nonequivalence (EN) even absence transitions. This occurs ‘weak’ leading subleading entropy difference) remarkably ‘unrestricted’ valid entire Here we look more general manifestations EN arbitrary matrices given margins. These models have widespread applications study spatially heterogeneous and/or temporally nonstationary systems, analysis multivariate financial neural time-series, multi-platform social activity, gene expression profiles other big data. We confirm appears form throughout space due extensivity constraints. Surprisingly, at time also exhibit novel, simultaneously ‘strong unrestricted’ very robust imposes principled choice ensemble. calculate proper mathematical quantities be used real-world
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ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2022
ISSN: ['1367-2630']
DOI: https://doi.org/10.1088/1367-2630/ac5e89