Transport coefficients and nonextensive statistics

Bezerra, José Roberto; Silva, R.; Lima, J. A. S.

doi:10.1016/s0378-4371(02)01813-7

Cited by 28 publications

(18 citation statements)

References 15 publications

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“…ing the mean time between collisions. Similar calculations were also done in the non-relativistic limit by Bezerra et al [44] using an alternative NEBE from Refs. [29,30].…”

Section: The Navier-stokes Equations and Transport Coefficientsmentioning

confidence: 84%

Non-extensive statistics, relativistic kinetic theory and fluid dynamics

Bı́ró

Molnár

2012

Eur. Phys. J. A

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Experimental particle spectra can be successfully described by power-law tailed energy distributions characteristic to canonical equilibrium distributions associated to Rényi's or Tsallis' entropy formula -over a wide range of energies, colliding system sizes, and produced hadron sorts. In order to derive its evolution one needs a corresponding dynamical description of the system which results in such final state observables. The equations of relativistic fluid dynamics are obtained from a non-extensive Boltzmann equation consistent with Tsallis' non-extensive q-entropy formula. The transport coefficients like shear viscosity, bulk viscosity, and heat conductivity are evaluate based on a linearized collision integral. PACS. 24.10.Nz Hydrodynamic models -05.70.-a Entropy in thermodynamics -05.20.Dd Kinetic theory in statistical mechanics -47.75.+f Relativistic fluid dynamics 2 Non-extensive statistics, kinetic and fluid dynamical equations A non-extensive q-generalization of the Boltzmann-Gibbs (BG) entropy was proposed by C. Tsallis [19,26] based on

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“…ing the mean time between collisions. Similar calculations were also done in the non-relativistic limit by Bezerra et al [44] using an alternative NEBE from Refs. [29,30].…”

Section: The Navier-stokes Equations and Transport Coefficientsmentioning

confidence: 84%

Non-extensive statistics, relativistic kinetic theory and fluid dynamics

Bı́ró

Molnár

2012

Eur. Phys. J. A

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“…In the nonextensive kinetic theory [47,48], limitations to value of the q-parameter exist generally. The above calculations and results hold true for 0 < q α < 7/5, but for q α ≥ 7/5, the calculations are diverges.…”

Section: The Viscosity Q-coefficients With the Effect Of Magnetic Fieldmentioning

confidence: 99%

The effect of magnetic field on the viscosity in the weakly ionized and magnetized plasma with power-law q-distributions in nonextensive statistics

Wang

2019

Physica A: Statistical Mechanics and its Applications

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We study the effect of magnetic field on the viscosity of charged particles in the weakly ionized and magnetized plasma with the power-law q-distributions by using the generalized Boltzmann equation of transport in nonextensive statistics. We derive six viscosity coefficients of electrons and ions in the complex plasma, including the magnetic field introduced four viscosity coefficients, where the q-parameter and magnetic field both play significant roles. By numerical analyses, we show that these viscosity coefficients depend strongly on the magnetic field and q-parameters of the weakly ionized and magnetized plasma, and so have potential applications in low temperature complex plasmas.

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“…where τ (E p ) is the relaxation time or collision time. We take non-extensive Tsallis distribution as f 0 p [40] near the local rest frame of the fluid, where the system is described locally by T , µ B and fluid velocity, u, which change slowly in space and time [41]. The thermodynamically consistent Tsallis distribution, (f 0 p ) [42] in the Boltzmann's approximation is given as,…”

Section: Formulationmentioning

confidence: 99%

Dissipative properties and isothermal compressibility of hot and dense hadron gas using non-extensive statistics

et al. 2018

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We evaluate the transport properties such as shear viscosity (η), bulk viscosity (ζ) and their ratios over entropy density (s) for hadronic matter using relativistic non-extensive Boltzmann transport equation (NBTE) in relaxation time approximation (RTA). In NBTE, we argue that the system far from equilibrium may not reach to an equilibrium described by extensive (Boltzmann-Gibbs (BG)) statistics but to a q-equilibrium defined by Tsallis non-extensive statistics after subsequent evolution, where q denotes the degree of non-extensivity. We observe that η/s and ζ/s decrease rapidly with temperature (T ) for various q-values. As q increases, the magnitudes of η/s and ζ/s decrease with T . We also show the upper mass cutoff dependence of these ratios for a particular q and find that they decrease with the increase in mass cutoff of hadrons. Further, we present the first estimation of isothermal compressibility (κT ) using non-extensive Tsallis statistics at finite baryon chemical potential (µB). It is observed that, κT changes significantly with the degree of non-extensivity. We also study the squared speed of sound (c 2 s ) as a function of temperature at finite baryon chemical potential for various q and upper mass cutoffs. It is noticed that there is a strong impact of q and mass cutoff on the behaviour of c 2 s .which are used to define the equation of state of the system and quantify the softest point of the phase transition along with the location of the critical point [8].

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Transport coefficients and nonextensive statistics

Cited by 28 publications

References 15 publications

Non-extensive statistics, relativistic kinetic theory and fluid dynamics

Non-extensive statistics, relativistic kinetic theory and fluid dynamics

The effect of magnetic field on the viscosity in the weakly ionized and magnetized plasma with power-law q-distributions in nonextensive statistics

Dissipative properties and isothermal compressibility of hot and dense hadron gas using non-extensive statistics

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