Ferromagnetic Ising spin systems on the growing random tree

Hasegawa, Takehisa; Nemoto, Koji

doi:10.1103/physreve.80.026126

Cited by 19 publications

(51 citation statements)

References 44 publications

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“…For allowed ranges in x and more discussions, see Ref. [3]. Specifically, several different shape functions are in use to fit the spectra in the study of high energy collisions both experimentally and theoretically .…”

Section: Introductionmentioning

confidence: 99%

Hadronization within the non-extensive approach and the evolution of the parameters

2019

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We review transverse momentum distributions of various identified charged particles stemming from high energy collisions fitted by various non-extensive distributions as well as by the usual Boltzmann -Gibbs statistics. We investigate the best-fit formula with the obtained χ 2 /ndf values. We find that the physical mass and √ s scaling becomes more explicit with heavier produced hadrons in both proton-proton and heavy-ion collisions. The spectral shape parameters, in particular the temperature T and the non-extensive Tsallis parameter q, do exhibit an almost linear dependence with the centrality-dependence in heavy-ion collisions.Doppler-blue-shifted temperature T D := 1+v T 1−v T T arXiv:1905.05736v1 [hep-ph]

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Section: Introductionmentioning

confidence: 99%

Hadronization within the non-extensive approach and the evolution of the parameters

2019

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“…Among these issues, unusual phase transitions of percolations and spin systems on some networks have attracted our current interests [7][8][9][10][11][12][13][14][15][16]. For example, the percolations on some growing network models undergo an infinite order transition with a Berezinskii-KosterlitzThouless (BKT)-like singularity: (i) the relative size of the largest component vanishes in an essentially singular way at the transition point, so that the transition is of infinite order, and (ii) the mean number n s of clusters with size s per node (or the cluster size distribution in short) decays in a power-law fashion with s,…”

Section: Introductionmentioning

confidence: 99%

Generating-function approach for bond percolation in hierarchical networks

2010

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We study bond percolations on hierarchical scale-free networks with the open bond probability of the shortcutsp and that of the ordinary bonds p. The system has a critical phase in which the percolating probability P takes an intermediate value 0 < P < 1. Using generating function approach, we calculate the fractal exponent ψ of the root clusters to show that ψ varies continuously withp in the critical phase. We confirm numerically that the distribution ns of cluster size s in the critical phase obeys a power law ns ∝ s −τ , where τ satisfies the scaling relation τ = 1 + ψ −1 . In addition the critical exponent β(p) of the order parameter varies asp, from β ≃ 0.164694 atp = 0 to infinity atp =pc = 5/32.

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“…The situation is the same also in the FA for nonextensive quantum systems as recently pointed out in Refs. [38,39].…”

Section: Discussionmentioning

confidence: 99%

The entropy in finite N-unit nonextensive systems: The normal average and q-average

Hasegawa

2010

Journal of Mathematical Physics

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A statistical complexity measure with nonextensive entropy and quasi-multiplicativityWe discuss the Tsallis entropy in finite N-unit nonextensive systems by using the multivariate q-Gaussian probability distribution functions ͑PDFs͒ derived by the maximum entropy methods with the normal average and the q-average ͑q: the entropic index͒. The Tsallis entropy obtained by the q-average has an exponential N dependence:In contrast, the Tsallis entropy obtained by the normal average is given by S q ͑N͒ / N Ӎ͓1 / ͑q −1͒N͔ for large N ͑ӷ1 / ͑q −1͒ Ͼ 0͒. N dependences of the Tsallis entropy obtained by the q-and normal averages are generally quite different, although both results are in fairly good agreement for ͉q −1͉ Ӷ 1.0. The validity of the factorization approximation ͑FA͒ to PDFs, which has been commonly adopted in the literature, has been examined. We have calculated correlations defined byand the bracket ͗ · ͘ stands for the normal and q-averages. The first-order correlation ͑m =1͒ expresses the intrinsic correlation and higher-order correlations with m Ն 2 include nonextensivity-induced correlation, whose physical origin is elucidated in the superstatistics.

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Ferromagnetic Ising spin systems on the growing random tree

Cited by 19 publications

References 44 publications

Hadronization within the non-extensive approach and the evolution of the parameters

Hadronization within the non-extensive approach and the evolution of the parameters

Generating-function approach for bond percolation in hierarchical networks

The entropy in finite N-unit nonextensive systems: The normal average and q-average

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