q-Deformed structures and nonextensive statistics: a comparative study

Lavagno, Andrea; Swamy, P. Narayana

doi:10.1016/s0378-4371(01)00680-x

Cited by 54 publications

(60 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The latter provides a treatment in which, -after some transformations and re-interpretations of the usual thermal quantities, like the temperature, -the usual * E-mail: tsbiro@mail.k i.hu procedures produce non-exponential particle spectra and other deviations from the predictions of the naive thermal models. While in studying spectra stemming from small systems, like + − or and collisions the most characteristic features are related to a restriction in the longitudinal phase space showing in properties of the rapidity distribution N/ and in the occurence of the negative binomial multiplicity distribution [1][2][3][4][5], the transverse momentum distributions rather show an enlarged and possibly more fractally filled phase space [6,7]. There are several speculations on possible causes for such deformations, measured in a summerized way by a parameter used in Tsallis' non-extensive [8][9][10][11][12] entropy formula, or Rényi's extensive one [13].…”

Section: Introductionmentioning

confidence: 99%

Non-extensive equilibration in relativistic matter

Biro

Purcsel

2009

Open Physics

View full text Add to dashboard Cite

Abstract:We present a view of the non-extensive thermodynamics based on general composition rules. A formal logarithm maps these rules to the addition, which can be used to generate stationary distributions by standard techniques. We review the most commonly used rules and as an application we discuss the Tsallis-Pareto distribution of transverse momenta of energetic hadrons, which emerge from relativistic heavy-ion collisions. PACS

show abstract

Section: Introductionmentioning

confidence: 99%

Non-extensive equilibration in relativistic matter

Biro

Purcsel

2009

Open Physics

View full text Add to dashboard Cite

show abstract

“…It is known that the statistical distribution of the q-deformed fermions can be obtained from the symmetric q-deformed fermion algebra, and has the expression as follows [8,11,25] :…”

Section: Theoretical Evaluationmentioning

confidence: 99%

“…Eqs. (8), (9) and (12) present the properties of a relativistic q-deformed ideal Fermi gas in a three-dimensional space. If 1 q → is set, these equations can be simplified and used to describe the properties of ordinary relativistic Fermi gas, but if 2 0 mc β = is set, they may describe the ultrarelativistic q-deformed Fermi gas, and if both 1 q → and 2 0 mc β = are set, they can be further simplified and used to present the properties of ordinary ultrarelativistic Fermi gas in the three-dimensional space.…”

Section: Effects Of Relativity On the Properties Of Q-fermionsmentioning

confidence: 99%

“…In recent years, many researchers have studied the q-deformed physical systems and have obtained a lot of research progress [8][9][10][11][12][13][14][15][16][17] . In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [8], the properties of ideal q-bosons with nonrelativistic spectrum 2 ( ) 2 p p m ε = were studied. The authors of Ref.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermostatistic properties of the relativistic q-deformed ideal Fermi gas at high temperature

Liu

Fu-Dian

et al. 2010

Wuhan Univ. J. Nat. Sci.

View full text Add to dashboard Cite

The q-deformed Fermi-Dirac distribution is used to study the high-temperature F ( ) T T ∨ behavior of a relativistic q-deformed ideal Fermi gas. The effects of the q-deformation and relativity on the properties of the system are discussed, and then, the example of the neutrinos near the surface of the earth is used to calculate approximately. It shows that the q-deformation increases the total energy but decreases the chemical potential and heat capacity, whereas 2 F0 mc ε increases the chemical potential and total energy but decreases the heat capacity ( F0 ε is the Fermi energy of ultrarelativistic undeformed Fermi gas). The larger the deformation parameter q and the value of 2 F0 mc ε are, the more remarkable the effects of them on the thermostatistic properties will be. However, the effects of both q-deformation and relativity become weak with increasing temperature. When the temperature , T → ∞ the thermostatistic properties of the system are reduced to those of ordinary Boltzmann gases and independent of q and relativity effect completely, which implies that the q-deformation is a pure quantum effect.

show abstract

Periodicity on isolated time scales

Böhner

Mesquita

Streipert

2022

Mathematische Nachrichten

View full text Add to dashboard Cite

In this work, we formulate the definition of periodicity for functions defined on isolated time scales. The introduced definition is consistent with the known formulations in the discrete and quantum calculus settings. Using the definition of periodicity, we discuss the existence and uniqueness of periodic solutions to a family of linear dynamic equations on isolated time scales. Examples in quantum calculus and for mixed isolated time scales are presented.

show abstract

q-Deformed structures and nonextensive statistics: a comparative study

Cited by 54 publications

References 11 publications

Non-extensive equilibration in relativistic matter

Non-extensive equilibration in relativistic matter

Thermostatistic properties of the relativistic q-deformed ideal Fermi gas at high temperature

Periodicity on isolated time scales

Contact Info

Product

Resources

About