On Quantum Superstatistics and the Critical Behavior of Nonextensive Ideal Bose Gases

Obregón, O.; López, José L.; Ortega-Cruz, M.

doi:10.3390/e20100773

Cited by 5 publications

(5 citation statements)

References 36 publications

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“…The critical variable selection method, also known as resolution-relevance 71 – 76 , has been successful in identifying optimal clustering for the reduction of complexity in the representation of biomolecules 77 or for a protein conformational landscape 78 .…”

Section: Daily Transition Matrixmentioning

confidence: 99%

Quality assessment and community detection methods for anonymized mobility data in the Italian Covid context

Morand,

Yip,

Velegrakis

et al. 2024

Sci Rep

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We discuss how to assess the reliability of partial, anonymized mobility data and compare two different methods to identify spatial communities based on movements: Greedy Modularity Clustering (GMC) and the novel Critical Variable Selection (CVS). These capture different aspects of mobility: direct population fluxes (GMC) and the probability for individuals to move between two nodes (CVS). As a test case, we consider movements of Italians before and during the SARS-Cov2 pandemic, using Facebook users’ data and publicly available information from the Italian National Institute of Statistics (Istat) to construct daily mobility networks at the interprovincial level. Using the Perron-Frobenius (PF) theorem, we show how the mean stochastic network has a stationary population density state comparable with data from Istat, and how this ceases to be the case if even a moderate amount of pruning is applied to the network. We then identify the first two national lockdowns through temporal clustering of the mobility networks, define two representative graphs for the lockdown and non-lockdown conditions and perform optimal spatial community identification on both graphs using the GMC and CVS approaches. Despite the fundamental differences in the methods, the variation of information (VI) between them assesses that they return similar partitions of the Italian provincial networks in both situations. The information provided can be used to inform policy, for example, to define an optimal scale for lockdown measures. Our approach is general and can be applied to other countries or geographical scales.

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Section: Daily Transition Matrixmentioning

confidence: 99%

Quality assessment and community detection methods for anonymized mobility data in the Italian Covid context

Morand,

Yip,

Velegrakis

et al. 2024

Sci Rep

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“…For example, in molecular dynamics the entropies S ± do render an effective repulsive interaction between the constituents [6], thus feeling the presence of tiny inner forces that otherwise, in a large-scale layout, would be negligible. Furthermore, the quantum aspects as well as the direct implications in the statistics for a Bose-Einstein condensate have been explored in [12]. We depart from the physical necessity of exploring micro-systems and their associated thermodynamics, and our analysis constitutes an attempt to delineate a route for that purpose.…”

Section: Asymptotic Analysismentioning

confidence: 99%

“…Whereas the presence of nonlinear terms can be due to the appearance of effective, repulsive forces [6], with a non-negligible participation for systems of high probabilities, that is for those systems with few microstates. There are, however, additional physical consequences portrayed by statistics based on S ± , a detailed perspective on the subject is offered in [5,7,11,12].…”

Section: Entropymentioning

confidence: 99%

Generalised asymptotic classes for additive and non-additive entropies

Bizet¹,

Fuentes²,

Obregón³

2020

EPL

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In the field of non-extensive statistical mechanics it is common to focus more attention on the family of parameter-dependent entropies rather than on those strictly depending on the probability in which there is no need to adjust a specific parameter. In particular, there exist two non-parametric entropy measures, S±, that resemble the Boltzmann-Gibbs (BG) entropy, SB, in the thermodynamic limit, whereas a difference between them arises in case that the statistical system possesses a small number of microstates. The difference, although slight, accounts for meaningful physical consequences such as effective forces and inner interactions among constituents. Yet, in this letter we are to report some of the analytical attributes associated to entropies S± via the formulation introduced by Hanel & Thurner. These two functionals allow to construct a generalised classification of entropy measures in terms of their defining equivalence classes, which are determined by a pair of scaling exponents (c, d). As a result, it has been identified that S± and SB belong to the same asymptotic, equivalence class. The latter is an interesting fact since it does not occur for non-logarithmic, parameter-dependent entropies. Following this scheme, we also briefly discuss the features of other entropy measures such as Tsallis, Sharma-Mittal and Rényi in the asymptotic limit.

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“…Historically, nonextensive entropy as a modification of the usual entropy was introduced by Tsallis based on elegant multifractal concepts and structures as a generalization of thermostatistics [11]. After the Tsallis's seminal report, much of the subsequent research in this context lead to quite interesting results for diverse properties related to nonextensivity [7,[12][13][14][15][16][17][18]. At present, it is well-known in the physics community that Tsal-lis's extension is suitable for describing peculiar characteristics of the nonextensivity of microcanonical and canonical ensembles.…”

Section: Introductionmentioning

confidence: 99%

Quantum Behavior of a Nonextensive Oscillatory Dissipative System in the Coherent State

Choi

2021

Symmetry

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We investigate the nonextensivity of a generalized dissipative oscillatory system in the Glauber coherent state. We introduce a parameter q as a measure of the nonextensivity of the system. Considering the characteristic of nonextensivity, the system is described by a deformed Caldirola–Kanai oscillator, which is represented in terms of q. We manage the system by describing the associated Hamiltonian in terms of the harmonic oscillator ladder operators. The time evolutions of the canonical variables, the Hamiltonian expectation value, the quantum energy, and the symmetry-breaking in the evolution of the system, are analyzed in detail regarding their dependence on q, damping factor, and the external driving force. The amplitude of the oscillator is slightly quenched as q becomes large, whereas the amplitude of the canonical momentum is enhanced in response to the growth in q. As q increases, the dissipation of the quantum energy becomes a little faster as a manifestation of the nonextensivity of the system. Our results are compared to the classical results, as well as to those in the previous research performed on the basis of the SU(1,1) coherent states. The coherent states, including the Glauber coherent states, can be convenient resources for carrying information, which is crucial in quantum information processing.

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On Quantum Superstatistics and the Critical Behavior of Nonextensive Ideal Bose Gases

Cited by 5 publications

References 36 publications

Quality assessment and community detection methods for anonymized mobility data in the Italian Covid context

Quality assessment and community detection methods for anonymized mobility data in the Italian Covid context

Generalised asymptotic classes for additive and non-additive entropies

Quantum Behavior of a Nonextensive Oscillatory Dissipative System in the Coherent State

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