Eur. Phys. J. A (2016) 52: 30
https://doi.org/10.1140/epja/i2016-16030-5

Regular Article - Theoretical Physics

Radial flow in non-extensive thermodynamics and study of particle spectra at LHC in the limit of small (q - 1)

¹ Discipline of Physics, School of Basic Sciences, Indian Institute of Technology Indore, Khandwa Road, 452020, Simrol, India
² UCT-CERN Research Centre and Department of Physics, University of Cape Town, 7701, Rondebosch, South Africa

^* e-mail: Raghunath.Sahoo@cern.ch

Received: 9 November 2015
Accepted: 9 January 2016
Published online: 19 February 2016

Abstract

We expand the Tsallis distribution in a Taylor series of powers of (q - 1), where q is the Tsallis parameter, assuming q is very close to 1. This helps in studying the degree of deviation of transverse momentum spectra and other thermodynamic quantities from a thermalized Boltzmann distribution. After checking thermodynamic consistency, we provide analytical results for the Tsallis distribution in the presence of collective flow up to the first order of (q - 1). The formulae are compared with the experimental data.