High-order cumulants from the 3-dimensional spin models

Xue, Peng; Chen, Lizhu; Chen, X.S.; Wu, Y.

doi:10.1016/j.nuclphysa.2013.06.010

Cited by 12 publications

(13 citation statements)

References 31 publications

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“…We can see again from the figures that change their values sharply from negative to positive and oscillate greatly with temperature near the transition point. These qualitative features, i.e., sign change and oscillating structure, are consistent with effective models [46][47][48][49][50][51].…”

Section: The Same Observations Are Valid For U (T V )supporting

confidence: 82%

Finite-volume cumulant expansion in QCD-colorless plasma

et al. 2015

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Due to the finite-size effects, the localization of the phase transition in finite systems and the determination of its order, become an extremely difficult task, even in the simplest known cases. In order to identify and locate the finite-volume transition point T 0 (V ) of the QCD deconfinement phase transition to a colorless QGP, we have developed a new approach using the finite-size cumulant expansion of the order parameter and the L mn -method. The first six cumulants C 1,2,3,4,5,6 with the corresponding under-normalized ratios (skewness , kurtosis κ, pentosis Π ± , and hexosis H 1,2,3 ) and three unnormalized combinations of them, (O = σ 2 κ −1 , U = σ −2 −1 , N = σ 2 κ) are calculated and studied as functions of (T, V ). A new approach, unifying in a clear and consistent way the definitions of cumulant ratios, is proposed. A numerical FSS analysis of the obtained results has allowed us to locate accurately the finite-volume transition point. The extracted transition temperature value T 0 (V ) agrees with that expected T N 0 (V ) from the order parameter and the thermal susceptibility χ T (T, V ), according to the standard procedure of localization to within about 2 %. In addition to this, a very good correlation factor is obtained proving the validity of our cumulants method. The agreement of our results with those obtained by means of other models is remarkable.

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Section: The Same Observations Are Valid For U (T V )supporting

confidence: 82%

Finite-volume cumulant expansion in QCD-colorless plasma

et al. 2015

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“…The non-linear σ-model has demonstrated that if the critical point is approached from high temperature side, the dynamical kurtosis will change from negative to positive [8], although the negative values are very small. The calculations of 3-dimensional Ising model show similar critical behavior [35]. While, the calculations of 3-dimensional O(4) model show that the kurtosis oscillates between positive and negative.…”

Section: Dynamical Kurtosis Of Net-and Total-proton At Rhicsupporting

confidence: 52%

Statistical and dynamical parts of the cumulants of conserved charges in relativistic heavy ion collisions

Xue

Zhang

et al. 2014

Phys. Rev. C

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The Poisson-liked statistical fluctuations, which are caused by the finite number of produced particles, are firstly estimated for the cumulants of conserved charges, i.e., the cumulants of netbaryon, net-electric charge, and net-strangeness. They turn out to be the same as those baselines derived from Hadron Resonance Gas (HRG) model. The energy and centrality dependence of netproton cumulants at the Relativistic Heavy-Ion Collider (RHIC) are demonstrated to be mainly caused by statistical fluctuations. Subtracting the statistical fluctuations, the dynamical kurtosis of net-and total-proton from two versions of the AMPT model and the UrQMD model at current RHIC beam energies are presented. It is found that the observed sign change in the kurtosis of netproton can not be reproduced by these three transport models. There is no significant difference between net-and total-proton kurtosis in model calculations, in contrary to the data at RHIC.

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“…Peak-like structures or oscillations occur in the temperature dependence of high-order susceptibilities. So non-monotonic behavior of high-order cumulants of conserved charges is considered as a signal of the critical point [20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model

et al. 2018

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We study the sign distribution of generalized magnetic susceptibilities in the temperature-external magnetic field plane using the three-dimensional three-state Potts model. We find that the sign of odd-order susceptibility is opposite in the symmetric (disorder) and broken (order) phases, but that of the even-order one remains positive when it is far away from the phase boundary. When the critical point is approached from the crossover side, negative fourth-order magnetic susceptibility is observable. It is also demonstrated that non-monotonic behavior occurs in the temperature dependence of the generalized susceptibilities of the energy. The finite-size scaling behavior of the specific heat in this model is mainly controlled by the critical exponent of the magnetic susceptibility in the three-dimensional Ising universality class.

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High-order cumulants from the 3-dimensional spin models

Cited by 12 publications

References 31 publications

Finite-volume cumulant expansion in QCD-colorless plasma

Finite-volume cumulant expansion in QCD-colorless plasma

Statistical and dynamical parts of the cumulants of conserved charges in relativistic heavy ion collisions

Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model

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