Finite size effect of hadronic matter on its transport coefficients

Abstract

We have theoretically investigated the finite system size effect of hadronic matter on its transport coefficients like shear viscosity, bulk viscosity, and electrical conductivity. We have used a Hadron Resonance Gas (HRG) model to calculate the thermodynamical quantities like entropy density, speed of sound and also the above transport coefficients. All these quantities are found to be sensitive to finite system size effects of hadronic matter. The effect of finite system size is found to be more when the system is at low temperatures and gets reduced at high temperatures. Owing to the intimate linking between system size and centrality, we have presented the centrality dependence of transport coefficients. We have also explored to link of our results with the macroscopic picture of hydrodynamical evolution.

Viscosity calculations from hadron resonance gas model: Finite size effect

“…Interestingly, similar trend is expected from hydrodynamical simulation [53], where η/s is entered as an input parameter. This qualitative agreement between microscopic [21] and macroscopic [53] investigations is pointing out the importance of size-dependent transport coefficient calculations.…”

“…One can find a long list of Refs. [15,14,7,8,9,10,11,12,13,16,18,19,20,17,21,22,23,24,25,26] on microscopic calculations of η/s for hadronic matter, where some of them adopted different hadronic models [15,14,7,8,9,10,11,12,13,16,18,19,20,17,21,22] and some have gone through bulk simulations [23,24,25,26]. Their predicted values of η/s reside within a broad numerical band.…”

“…Recently, Refs. [22,21] have provided a possible prescription to make the band be narrow, when a finite size effect of medium is considered. Though the prescription is quantitatively applicable in hadron resonance gas (HRG) model, adopted in Refs.…”

“…Though the prescription is quantitatively applicable in hadron resonance gas (HRG) model, adopted in Refs. [22,21], but a qualitative application of this prescription can always be possible in other hadronic models. Present article is intended to review this prescription by analyzing earlier estimated values of η/s and ζ/s.…”

Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu–Jona-Lasinio model

“…There are estimations indicating that QGP-like systems yielded in heavy-ion collisions are of the order of units or dozens of fermi [5][6][7]. In this sense, the influence of the size of the system on its thermodynamic behaviour and phase diagram has been widely analyzed in the literature through distinct and effective approaches, as Dyson-Schwinger equations of QCD [8][9][10], quark-meson model [11,12], extensions and generalizations of the Nambu-Jona-Lasinio (NJL) model [13][14][15][16][17][18][19][20][21][22][23], and others [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. The main findings of these works point out that the finite volume, combined with other relevant variables, act on the thermodynamic behavior of strongly interacting matter.…”