Speaker
Dr
Raghunath Sahoo
(Indian Institute of Technology Indore (IN))
Description
Tsallis non-extensive thermodynamics has been successfully used in describing the transverse momentum distributions from RHIC to LHC energies. In this work, we present a simplified and thermodynamically consistent Tsallis distribution by using Taylor series expansion in (q-1). It helps us to study the degree of deviation of Tsallis distribution from a thermalized Boltzmann distribution, for proton-proton collisions at LHC energies. We provide analytical results for the Tsallis distribution in the presence of collective flow up to the first order in (q-1) and observe that the pion $p_{T}$ spectrum for Pb+Pb collisions at center of mass energy of 2.76 TeV at LHC, could be well described by Tsallis q-statistics with inclusion of a constant radial flow. We study the degree of deviation of the thermodynamic observables like, the number density, pressure and energy density, from a Boltzmann type of distribution, in the ambient of Tsallis q-statistics, for different physically acceptable values of the q-parameter. Further, we extend the q-statistics for the Hagedorn resonance gas to examine the basic thermodynamical quantities for systems having different ‘q’ parameters. The speed of sound and thus the equation of state in a Hagedorn resonance gas is also studied in the framework of non-extensive statistics.
Primary author
Dr
Raghunath Sahoo
(Indian Institute of Technology Indore (IN))
Co-authors
Mr
Arvind Khuntia
(Indian Institute of Technology Indore, India)
Prof.
Jean Cleymans
(University of Cape Town)
Ms
Pooja Pareek
(Indian Institute of Technology Indore (IN))
Ms
Pragati Sahoo
(Indian Institute of Technology Indore (IN))
Dr
Prakhar Garg
(Indian Institute of Technology Indore, India)
Dr
Trambak Bhattacharyya
(Indian Institute of Technology Indore, India)
