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Thermodynamics of Ising model with infinite-range interactions by generalized canonical ensemble
(SOC BRASILEIRA FISICASAO PAULO, 2013-08-02)
In this work we present the idea of how generalized ensembles can be used to simplify the operational study of non-additive physical systems. As alternative of the usual methods of direct integration or mean-field theory, ...
The HSAB principle from a finite temperature grand‑canonical perspective
(Springer, 2017)
We provide a new proof for Pearson’s hard/
soft acid/base (HSAB) principle. Unlike alternative proofs,
we do not presuppose a simplified parabolic dependence
on the energy of the system with respect to changes in ...
Non-equivalence of the microcanonical and canonical ensembles in a bosonic Josephson junction
(Sociedad Mexicana de Física A.C., 2011)
Notions of the ergodic hierarchy for curved statistical manifolds
(Elsevier Science, 2017-10)
We present an extension of the ergodic, mixing, and Bernoulli levels of the ergodic hierarchy for statistical models on curved manifolds, making use of elements of the information geometry. This extension focuses on the ...
Statistical mechanics of few-particle systems: Exact results for two useful models
(IOP Publishing, 2017-11)
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 ...
The HSAB principle from a finite-temperature grand-canonical perspective
(Springer New York LLC, 2017)
© 2017, Springer-Verlag GmbH Germany.We provide a new proof for Pearson’s hard/soft acid/base (HSAB) principle. Unlike alternative proofs, we do not presuppose a simplified parabolic dependence on the energy of the system ...
On the Hellmann-Feynman theorem in statistical mechanics
(Elsevier, 2020-08-06)
In this paper we develop the Hellmann-Feynman theorem in statistical mechanics without resorting to the eigenvalues and eigenvectors of the Hamiltonian operator. Present approach does not require the quantum-mechanical ...