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On thermodynamic self-consistency of generic axiomatic-nonextensive statistics

Chinese Physics C 2017年第5期41卷 73-90页

作者： Abdel Nasser Tawfik hayam yassin Eman R.Abo Elyazeed Egyptian Center for Theoretical Physics (ECTP) Modern University for Technology and Information (MTI) 11571 Cairo Egypt World Laboratory for Cosmology and Particle Physics (WLCAPP) 11571 Cairo Egypt Physics Department Faculty of Women for Arts Science and Education Ain Shams University 11577 Cairo Egypt

Generic axiomatic-nonextensive statistics introduces two asymptotic properties,to each of which a scaling function is *** first and second scaling properties are characterized by the exponents c and d,*** the thermodynamic limit,a grand-canonical ensemble can be *** thermodynamic properties of a relativistic ideal gas of hadron resonances are studied,*** is found that this generic statistics satisfies the requirements of the equilibrium *** aspects of the thermodynamic self-consistency are *** expressions are proposed for the statistical fits of various transverse momentum distributions measured in most-central collisions at different collision energies and colliding *** for the freezeout temperature（T_（ch）） and the baryon chemical potential（μ_b） and the exponents c and d are *** earlier are found compatible with the parameters deduced from Boltzmann-Gibbs（BG） statistics（extensive）,while the latter refer to generic *** resulting equivalence class（c,d） is associated with stretched exponentials,where Lambert function reaches its asymptotic *** some measurements,the resulting nonextensive entropy is linearly composed on extensive *** from power-scaling,the particle ratios and yields are excellent quantities to highlighting whether the particle production takes place（non）*** particle ratios and yields measured by the STAR experiment in central collisions at 200,62.4 and 7.7 GeV are fitted with this novel *** found that both c and d 〈 1,*** to neither BG-nor Tsallis-type statistics,but to（c,d）-entropy,where Lambert functions exponentially *** freezeout temperature and baryon chemical potential are found comparable with the ones deduced from BG statistics（extensive）.We conclude that the particle production at STAR energies is likely a nonextensive process but not necessarily BG or Tsallis

关键词： thermodynamic consistency asymptotic relativistic momentum quantities exponentially collision entropy generic

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