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• W2740449310 abstract "The statistical mechanics of small clusters (n ∼ 10–50 elements) of harmonic oscillators and two-level systems is studied exactly, following the microcanonical, canonical and grand canonical formalisms. For clusters with several hundred particles, the results from the three formalisms coincide with those found in the thermodynamic limit. However, for clusters formed by a few tens of elements, the three ensembles yield different results. For a cluster with a few tens of harmonic oscillators, when the heat capacity per oscillator is evaluated within the canonical formalism, it reaches a limit value equal to kB, as in the thermodynamic case, while within the microcanonical formalism the limit value is kB(1–1/n). This difference could be measured experimentally. For a cluster with a few tens of two-level systems, the heat capacity evaluated within the canonical and microcanonical ensembles also presents differences that could be detected experimentally. Both the microcanonical and grand canonical formalism show that the entropy is non-additive for systems this small, while the canonical ensemble reaches the opposite conclusion. These results suggest that the microcanonical ensemble is the most appropriate for dealing with systems with tens of particles." @default.
• W2740449310 created "2017-08-08" @default.
• W2740449310 creator A5018503816 @default.
• W2740449310 date "2017-09-26" @default.
• W2740449310 modified "2023-09-24" @default.
• W2740449310 title "Statistical mechanics of few-particle systems: exact results for two useful models" @default.
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• W2740449310 doi "https://doi.org/10.1088/1361-6404/aa82fa" @default.
• W2740449310 hasPublicationYear "2017" @default.
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