Cosmological comoving behavior of the configurational entropy

Bernardini, Alex E.; Rocha, Roldão da

doi:10.1016/j.physletb.2019.07.028

Cited by 18 publications

(4 citation statements)

References 64 publications

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“…Such a behavior was observed in many different physical systems, such as: compact astrophysical objects [4] and holographic AdS/QCD models [5][6][7][8][9][10]. There are other many interesting applications of configuration entropy in the literature, as for example [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] The purpose of the present letter is to investigate the application of the configuration entropy to a physical system of great interest currently: heavy mesons inside a quark gluon plasma with finite density. The insterest in such a system comes from the quark gluon plasma (QGP).…”

Section: Introductionmentioning

confidence: 87%

Configuration Entropy for Quarkonium in a Finite Density Plasma

Braga,

da Mata

2020

Preprint

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In the recent years many examples appeared in the literature where the configuration entropy (CE), introduced by Gleiser and Stamatopoulos, plays the role of an indicator of stability of physical systems. It was observed that, comparing states of the same system, the lower is the value of the CE, the more stable is the state. In this letter we investigate the behaviour of the CE in a new context. We consider quasi-states of quarkonium (a vector meson made of a heavy quark anti-quark pair) inside a plasma at finite density. It is known that the density increases the dissociation effect for quasi-particles inside a plasma. So, increasing the density of a thermal medium corresponds to reducing the stability of the quasi-particles. In order to investigate how this situation is translated in the Configutation Entropy context, we use a recently developed holographic AdS/QCD model for heavy vector mesons. The quasi-normal modes describing the quasi-states are obtained and the corresponding CE is calculated. We find, for bottomonium and charmonium 1S quasi-states, that the CE increases with the quark density, or quark chemical potential, of the medium. This result shows that the CE works again as an indicator of stability, represented in this case by the dissociation effect associated with the density.

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Section: Introductionmentioning

confidence: 87%

Configuration Entropy for Quarkonium in a Finite Density Plasma

Braga,

da Mata

2020

Preprint

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“…We also added a longevity study of two-dimensional oscillons, since these too have yet to be shown to decay in numerical simulations. Motivated by these results, in the present work we extend our studies of the longevity of resonant and 2d oscillons using a recently proposed measure of spatial complexity known as Configurational Entropy (CE) [32], which has been applied to many physical systems, from solitons in field theories [33][34][35][36][37][38] to phase transitions [39][40][41], and to astrophysics and cosmology [42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Configurational entropic study of the enhanced longevity in resonant oscillons

Gleiser

Krackow

2020

Physics Letters B

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We use an information-theoretic measure of shape complexity known as configurational entropy (CE) to investigate numerically the remarkably long lifetimes of spherically-symmetric "resonant oscillons" in three-dimensional and of azimuthally-symmetric oscillons in two-dimensional relativistic scalar field theories, which have been conjectured to be infinite. In 3d, we obtain a power law relating a stability measure derived from CE to the oscillons' lifetimes that, upon extrapolation to large times, offers support to this conjecture. In 2d, we obtain a three-way relation between the oscillons' energies, a CE-derived measure of their stability, and their radiation rates to support the conjecture that they asymptotically tend toward a classically-stable attractor solution.

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“…The above result has been discussed, for instance, in phase-space quantum cosmological scenarios in order to reproduce the classical cosmological background from a quantum approach [11] and can be relevant in more general contexts involving the discussion of the informational content of cosmological scenarios [25]. By substituting the expression from Eq.…”

Section: Computation Of Purity -An Example Of Pure Statementioning

confidence: 99%

Anharmonic effects on phase-space quantum profiles: an exact approach

Bernardini,

Silva

2020

Preprint

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Given its well known spectral decomposition profile, the 1-dim harmonic oscillator potential modified by an inverse square (1-dim angular momentum-like) contribution works as an efficient platform for probing classical and quantum information quantifiers in the context of the phase-space Weyl-Wigner formalism. In particular, the phase-space informational content related to the canonical ensemble driven by such a singular oscillator can be quantified in terms of well established analytical structures. Considering that, on one hand, the singular oscillator produce a spectral decomposition profile equivalent to that one of the unmodified harmonic system -in the sense that they result into identical thermodynamic statistics, even for different statistical mixtures -on the other hand, a more complete scrutinization of their phase-space information content can capture some different aspects of the encoded information for the related quantum ensembles. Besides the identification of decoherence effects, the Wigner flow analysis is presumedly useful in identifying stable quantum configurations, according to finite temperature and interaction parameter values. Unexpectedly, our results show that the equivalence between the statistical (quantum) mechanics of the anharmonic singular oscillator and an ordinary harmonic oscillator can also be extended to the phase-space quantum purity quantifier, which is analytically computed and reproduces exactly the same quantum ensemble statistical mixture profile, which does not depend on interaction parameter values.

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Cosmological comoving behavior of the configurational entropy

Cited by 18 publications

References 64 publications

Configuration Entropy for Quarkonium in a Finite Density Plasma

Configuration Entropy for Quarkonium in a Finite Density Plasma

Configurational entropic study of the enhanced longevity in resonant oscillons

Anharmonic effects on phase-space quantum profiles: an exact approach

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