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We consider a momentum dependent relaxation time for the Boltzmann equation in the relaxation time approximation. We employ a power law parametrization for the momentum dependence of the relaxation time, and calculate the shear and bulk…

Nuclear Theory · Physics 2016-02-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

Starting from the Boltzmann equation in the relaxation time approximation and employing a Chapman-Enskog like expansion for the distribution function close to equilibrium, we derive second-order evolution equations for the shear stress…

Nuclear Theory · Physics 2015-11-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

We compute the transport coefficients, namely, the coefficients of shear and bulk viscosities as well as thermal conductivity for hot and dense matter. The calculations are performed within the Polyakov quark meson model. The estimation of…

High Energy Physics - Phenomenology · Physics 2018-01-22 Aman Abhishek , Hiranmaya Mishra , Sabyasachi Ghosh

We use the extended relaxation time approximation for the collision kernel, which incorporates a particle-energy dependent relaxation time, to derive second-order viscous hydrodynamics from the Boltzmann equation for a system of massless…

Nuclear Theory · Physics 2023-12-29 Dipika Dash , Sunil Jaiswal , Samapan Bhadury , Amaresh Jaiswal

We show that the widely used relaxation time approximation to the relativistic Boltzmann equation contains basic flaws, being incompatible with microscopic and macroscopic conservation laws. We propose a new approximation that fixes such…

Nuclear Theory · Physics 2021-07-28 Gabriel S. Rocha , Gabriel S. Denicol , Jorge Noronha

We introduce a generalised relaxation-time-approximation form of the collision term in the Boltzmann kinetic equation that allows for using different relaxation times for elastic and inelastic collisions. The efficacy of the proposed…

Nuclear Theory · Physics 2016-06-15 Wojciech Florkowski , Radoslaw Ryblewski

Regardless of its success, the constant relaxation time approximation has limited validity. Temperature and energy dependent effects are important to match experimental trends even in simple situations. We present the implementation of…

Materials Science · Physics 2021-11-18 Anooja Jayaraj , Ilaria Siloi , Marco Fornari , Marco Buongiorno Nardelli

We formulate the relativistic dissipative hydrodynamics of a system of quasi-particles from the Boltzmann equation within the ambit of relaxation time approximation with modified collision kernels. We focus on two specific scenarios with…

High Energy Physics - Phenomenology · Physics 2025-04-17 Arghya Mukherjee , Samapan Bhadury , Pracheta Singha

We obtain equations of motion for the boost-invariant expansion of a system of chiral particles. Our analysis is based on the Boltzmann equation for left- and right-handed massless particles in the relaxation time approximation. We assume…

High Energy Physics - Phenomenology · Physics 2024-02-15 Nora Weickgenannt , Jean-Paul Blaizot

Development of a new framework for derivation of order-by-order hydrodynamics from Boltzmann equation is necessary as the widely used Anderson-Witting formalism leads to violation of fundamental conservation laws when the relaxation-time…

Nuclear Theory · Physics 2022-06-07 Dipika Dash , Samapan Bhadury , Sunil Jaiswal , Amaresh Jaiswal

We investigate the impact of momentum-dependent relaxation time approximation in the Boltzmann equation within the Bjorken flow framework by analyzing the moments of the single-particle distribution function. The moment equations, which…

Nuclear Theory · Physics 2025-10-23 Reghukrishnan Gangadharan , Sukanya Mitra , Victor Roy

We compute the transport coefficients, namely, the coefficients of shear and bulk viscosities as well as thermal conductivity for hot and dense matter. The calculations are performed within the Polyakov loop extended quark meson model. The…

High Energy Physics - Phenomenology · Physics 2018-01-21 Aman Abhishek , Sabyasachi Ghosh , Hiranmaya Mishra

We investigate the transport properties of a kinetic theory model that is tuned to describe the thermodynamic properties of QCD at zero chemical potential using a new formulation of the relaxation time approximation. In contrast to previous…

Nuclear Theory · Physics 2022-08-24 Gabriel S. Rocha , Maurício N. Ferreira , Gabriel S. Denicol , Jorge Noronha

Usually, the relaxation times of a gas are estimated in the frame of the Boltzmann equation. In this paper, instead, we deal with the relaxation problem in the frame of the dynamical theory of Hamiltonian systems, in which the definition…

Mathematical Physics · Physics 2011-12-26 A. M. Maiocchi , A. Carati

The quantum version of the Boltzmann transport equation (Wigner-Boltzmann equation) is a quite useful tool to investigate the effects of energy dissipation in quantum systems. Numerical approaches uses to be employed in order to stablish a…

Statistical Mechanics · Physics 2017-09-19 A. R. Fernandes Nt. , L. F. Santos

We develop a flexible quasiparticle theory of transport coefficients of hot hadronic matter at finite baryon density. We begin with a hadronic quasiparticle model which includes a scalar and a vector mean field. Quasiparticle energies and…

Nuclear Theory · Physics 2016-01-20 M. Albright , J. I. Kapusta

We derive approximate iterative analytical solutions of the non-extensive Boltzmann transport equation in the relaxation time approximation. The approximate solutions almost overlap with the exact solution for a considerably wide range of…

Nuclear Theory · Physics 2023-06-27 Trambak Bhattacharyya

Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the…

Nuclear Theory · Physics 2013-05-22 Amaresh Jaiswal

Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains. In these systems, there is a natural separation of scales between the strong intra-chain interactions and the weak interchain coupling.…

Quantum Gases · Physics 2023-02-21 Miłosz Panfil , Sarang Gopalakrishnan , Robert M. Konik

We compute the shear and bulk viscosities, as well as the thermal conductivity of an ultrarelativistic fluid obeying the relativistic Boltzmann equation in 2+1 space-time dimensions. The relativistic Boltzmann equation is taken in the…

Statistical Mechanics · Physics 2015-06-12 M. Mendoza , I. Karlin , S. Succi , H. J. Herrmann
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