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Search RSS2015 interdyscyplinarne centrum modelowania matematycznego i komputerowego60The imprints of superstatistics in multiparticle production processes
/resource/bwmeta1.element.-psjd-doi-10_2478_s11534-011-0111-7
<p>We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the nonextensivity parameter q > 1. In nuclear collisions one additionally observes a q-dependence of the multiplicity fluctuations reflecting the finiteness of the hadronizing source. We present sum rules connecting parameters q obtained from an analysis of different observables, which allows us to combine different kinds of fluctuations seen in the data and analyze an ensemble in which the energy (E), temperature (T) and multiplicity (N) can all fluctuate. This results in a generalization of the so called Lindhard’s thermodynamic uncertainty relation. Finally, based on the example of nucleus-nucleus collisions (treated as a quasi-superposition of nucleon-nucleon collisions) we demonstrate that, for the standard Tsallis entropy with degree of nonextensivity q < 1, the corresponding standard Tsallis distribution is described by q′ = 2 − q > 1.</p>/resource/bwmeta1.element.-psjd-doi-10_2478_s11534-011-0111-7The imprints of superstatistics in multiparticle production processes
/resource/bwmeta1.element.doi-10_2478_s11534-011-0111-7
<p>We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the nonextensivity parameter q > 1. In nuclear collisions one additionally observes a q-dependence of the multiplicity fluctuations reflecting the finiteness of the hadronizing source. We present sum rules connecting parameters q obtained from an analysis of different observables, which allows us to combine different kinds of fluctuations seen in the data and analyze an ensemble in which the energy (E), temperature (T) and multiplicity (N) can all fluctuate. This results in a generalization of the so called Lindhard’s thermodynamic uncertainty relation. Finally, based on the example of nucleus-nucleus collisions (treated as a quasi-superposition of nucleon-nucleon collisions) we demonstrate that, for the standard Tsallis entropy with degree of nonextensivity q < 1, the corresponding standard Tsallis distribution is described by q′ = 2 − q > 1.</p>/resource/bwmeta1.element.doi-10_2478_s11534-011-0111-7The imprints of superstatistics in multiparticle production processes
/resource/bwmeta1.element.springer-ad1dc227-2886-3e4f-a57d-d2d72b032d5c
<p>We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the nonextensivity parameter <i>q</i> > 1. In nuclear collisions one additionally observes a <i>q</i>-dependence of the multiplicity fluctuations reflecting the finiteness of the hadronizing source. We present sum rules connecting parameters <i>q</i> obtained from an analysis of different observables, which allows us to combine different kinds of fluctuations seen in the data and analyze an ensemble in which the energy (E), temperature (T) and multiplicity (N) can all fluctuate. This results in a generalization of the so called Lindhard’s thermodynamic uncertainty relation. Finally, based on the example of nucleus-nucleus collisions (treated as a quasi-superposition of nucleon-nucleon collisions) we demonstrate that, for the standard Tsallis entropy with degree of nonextensivity <i>q</i> < 1, the corresponding standard Tsallis distribution is described by <i>q</i>′ = 2 − <i>q</i> > 1.</p>/resource/bwmeta1.element.springer-ad1dc227-2886-3e4f-a57d-d2d72b032d5cNonextensive perfect hydrodynamics - a model of dissipative relativistic hydrodynamics?
/resource/bwmeta1.element.-psjd-doi-10_2478_s11534-008-0163-5
<p>We demonstrate that nonextensive perfect relativistic hydrodynamics (q-hydrodynamics) can serve as a model of the usual relativistic dissipative hydrodynamics (d-hydrodynamics) therefore facilitating considerably its applications. As an illustration, we show how using q-hydrodynamics one gets the q-dependent expressions for the dissipative entropy current and the corresponding ratios of the bulk and shear viscosities to entropy density, ζ/s and η/srespectively.</p>/resource/bwmeta1.element.-psjd-doi-10_2478_s11534-008-0163-5Nonextensive perfect hydrodynamics - a model of dissipative relativistic hydrodynamics?
/resource/bwmeta1.element.doi-10_2478_s11534-008-0163-5
<p>We demonstrate that nonextensive perfect relativistic hydrodynamics (q-hydrodynamics) can serve as a model of the usual relativistic dissipative hydrodynamics (d-hydrodynamics) therefore facilitating considerably its applications. As an illustration, we show how using q-hydrodynamics one gets the q-dependent expressions for the dissipative entropy current and the corresponding ratios of the bulk and shear viscosities to entropy density, ζ/s and η/srespectively.</p>/resource/bwmeta1.element.doi-10_2478_s11534-008-0163-5Nonextensive perfect hydrodynamics — a model of dissipative relativistic hydrodynamics?
/resource/bwmeta1.element.springer-4893a4b7-7c7f-3f90-8c5a-31f40c54513e
<p>We demonstrate that nonextensive perfect relativistic hydrodynamics (<i>q</i>-hydrodynamics) can serve as a model of the usual relativistic dissipative hydrodynamics (<i>d</i>-hydrodynamics) therefore facilitating considerably its applications. As an illustration, we show how using <i>q</i>-hydrodynamics one gets the <i>q</i>-dependent expressions for the dissipative entropy current and the corresponding ratios of the bulk and shear viscosities to entropy density, ζ/<i>s</i> and η/<i>s</i>respectively.</p>/resource/bwmeta1.element.springer-4893a4b7-7c7f-3f90-8c5a-31f40c54513e