Fluctuations, Entropic Quantifiers and Classical-Quantum Transition

Pennini, F.; Plastino, A.

doi:10.3390/e16031178

Cited by 2 publications

(1 citation statement)

References 43 publications

(64 reference statements)

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“…The solid line is the case P, the dashed one the Wigner one, and the dotted curve is assigned to the Husimi case. Now, it is known that in the present scenario the maximum attainable value for I equals 2 [19]. The P -result violates this restriction at low temperatures, more precisely at…”

Section: A Shift-invariant Fisher's Information Measurementioning

confidence: 54%

The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space

Pennini

Plastino

Rocca

2015

Advances in Mathematical Physics

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We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities's (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: 1) Wigner's, P -, and Husimi's. We show that, for all of them, the ensuing semiclassical entropy is a function only of the fluctuation product ∆x∆p. We ascertain that the semi-classical analog of the P -distribution seems to become un-physical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.

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Section: A Shift-invariant Fisher's Information Measurementioning

confidence: 54%

The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space

Pennini

Plastino

Rocca

2015

Advances in Mathematical Physics

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Classical thermodynamics from quasi-probabilities

2016

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The basic idea of a microscopic understanding of Thermodynamics is to derive its main features from a microscopic probability distribution. In such a vein, we investigate the thermal statistics of quasi-probabilities's semi-classical analogs in phase space for the important case of quadratic Hamiltonians, focusing attention in the three more important instances, i.e., those of Wigner, P -, and Husimi distributions. Introduction of an effective temperature permits one to obtain a unified thermodynamic description that encompasses and unifies the three different quasi-probability distributions. This unified description turns out to be classical.

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Fluctuations, Entropic Quantifiers and Classical-Quantum Transition

Cited by 2 publications

References 43 publications

The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space

The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space

Classical thermodynamics from quasi-probabilities

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