Fluctuations, correlations and non-extensivity

Wilk, G.

doi:10.1590/s0103-97332007000500009

Cited by 29 publications

(53 citation statements)

References 19 publications

(32 reference statements)

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“…This statistics has two parameters: one is the inverse of the temperature β and the other is the parameter q which indicates the difference between Tsallis statistics and BG statistics. The parameter q obtained by fitting the particle distribution [4] is close to the value q = 1 at which the distribution corresponds to BG distribution.…”

Section: Introductionsupporting

confidence: 60%

“…These facts imply that the non-extensivity should appear generally. Some physical origins of Tsallis distribution were suggested [4]. For an example, long-range forces may cause power-law distributions.…”

Section: Introductionmentioning

confidence: 99%

“…This non-extensive statics has been widely applied to various phenomena and methods, such as particle distribution at high energies [4], non-extensive network [5], generalized simulated annealing algorithm [6] and so on. This statistics has two parameters: one is the inverse of the temperature β and the other is the parameter q which indicates the difference between Tsallis statistics and BG statistics.…”

Section: Introductionmentioning

confidence: 99%

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A study of the x4 model in the Tsallis nonextensive statistics

Ishihara¹

2012

Physica A: Statistical Mechanics and its Applications

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The author studied the effects of the environment described by Tsallis statistics in quantum mechanics, when the deviation from Boltzmann-Gibbs (BG) statistics is small. The x 4 model was used and the squeeze angle caused by the difference between Tsallis and BG statistics was calculated perturbatively in the mean field approximation as a function of the dimensionless parameters: the inverse temperature β p and the coupling strength λ p . The author found that the effect of the deviation from BG statistics is relatively large at high temperature. The squeeze angle as a function of β p has a dip structure, and the dip is deeper with the increase of λ p . The angle as a function of β p changes the sign. These facts indicate that the frequency is modulated by the difference between these statistics.

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Section: Introductionsupporting

confidence: 60%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A study of the x4 model in the Tsallis nonextensive statistics

Ishihara¹

2012

Physica A: Statistical Mechanics and its Applications

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“…Wilk argued that there should be fluctuations in the Hagedorn spectra [35]. This would put the SPS data in better agreement with experiment.…”

Section: Global Properties Of Heavy Ion Collisionsmentioning

confidence: 93%

Summary talk for ISMD 06

McLerran¹

2007

Braz. J. Phys.

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“…Power-like distributions are of interest in various branches of physics, and a momentum distribution of produced particles in a high energy collision shows a power-like distribution [1][2][3][4][5][6][7][8][9][10][11][12]. One of power-like distributions is a Tsallis distribution which has two parameters: the temperature and the entropic parameter q.…”

Section: Introductionmentioning

confidence: 99%

Transverse momentum fluctuation under the Tsallis distribution at high energies

Ishihara

2017

Int. J. Mod. Phys. E

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We studied the effects of the Tsallis distribution on the transverse momentum fluctuation in high energy collisions. The parton-hadron duality and the Bose-Einstein type correlation between partons were assumed. The fluctuation was calculated in the boost-invariant picture for the expectation value used in the Boltzmann-Gibbs statistics and for the expectation value used in the Tsallis nonextensive statistics. It was shown that the fluctuation is a function of η which is the ratio of the inverse temperature to the correlation length. We found the following points: (1) the fluctuation depends on the form of the distribution and depends weakly on the definition of the expectation value used in the statistics, (2) the fluctuation increases as the entropic parameter value of the Tsallis distribution increases, and (3) the variation of the fluctuation as a function of the entropic parameter for the expectation value used in the BoltzmannGibbs statistics is larger than that for the expectation value used in the Tsallis nonextensive statistics in the wide range of η.

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Fluctuations, correlations and non-extensivity

Abstract: The present status of investigations on fluctuations and correlations seen in high energy multiparticle production processes made using the notion of nonextensivity is reviewed.

Cited by 29 publications

References 19 publications

A study of the x4 model in the Tsallis nonextensive statistics

A study of the x4 model in the Tsallis nonextensive statistics

Summary talk for ISMD 06

Transverse momentum fluctuation under the Tsallis distribution at high energies

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