Ensemble transformation in the fluctuation theory

نویسندگان

چکیده

Interactions in complex solutions that consist of multiple components can be quantified via number correlations observed within an isochoric subsystem. The fluctuation solution theory carries out a conversion between experimental data (usually measured under isobaric conditions) and the through cumbersome thermodynamic variable transformations. In contrast, we have recently demonstrated heuristically direct transformation statistical variables (i.e., those fluctuating ensembles such as volume particle numbers) lead to equivalent results simple algebra. This paper reveals geometrical basis invariants underlying equivalence Based on quasi-thermodynamic postulate concentration its are invariant ensemble transformation, show transformations correspond change Hessian matrix vectors whose elements deviations from their mean values, respectively, which quadratic form is invariant. Statistical also used cases when set do not belong same ensemble. When combined with order-of-magnitude analysis, our formalism shows at limit valid only for extensive cannot applied intensive variables.

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ژورنال

عنوان ژورنال: Physica D: Nonlinear Phenomena

سال: 2022

ISSN: ['1872-8022', '0167-2789']

DOI: https://doi.org/10.1016/j.physa.2021.126430