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相关论文: An analytic approach to the RTA Boltzmann attracto…

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The relaxation time approximation (RTA) of the kinetic Boltzmann equation is likely the simplest window into the microscopic properties of collective real-time transport. Within this framework, we analytically compute all retarded two-point…

高能物理 - 理论 · 物理学 2024-07-23 Matej Bajec , Sašo Grozdanov , Alexander Soloviev

We use an expansion in angular mode functions in order to solve the Boltzmann equation for a gluon plasma undergoing longitudinal expansion. By comparing with the exact solution obtained numerically by other means we show that the expansion…

高能物理 - 唯象学 · 物理学 2019-09-11 Jean-Paul Blaizot , Naoto Tanji

We use the Boltzmann equation in the relaxation time approximation to study the expansion of a dilute Fermi gas at unitarity. We focus, in particular, on the approach to the hydrodynamic limit. Our main finding are: i) In the regime that…

统计力学 · 物理学 2013-05-29 Kevin Dusling , Thomas Schaefer

We consider causal higher order theories of relativistic viscous hydrodynamics in the limit of one-dimensional boost-invariant expansion and study the associated dynamical attractor. We obtain evolution equations for the inverse Reynolds…

Fluid dynamics is traditionally thought to apply only to systems near local equilibrium. In this case, the effective theory of fluid dynamics can be constructed as a gradient series. Recent applications of resurgence suggest that this…

高能物理 - 理论 · 物理学 2018-01-19 Paul Romatschke

We study the universal behavior associated with a Relativistic Boltzmann Transport (RBT) approach with the full collision integral in 0+1D conformal systems. We show that all momentum moments of the distribution function exhibit universal…

高能物理 - 唯象学 · 物理学 2023-11-21 Vincenzo Nugara , Salvatore Plumari , Lucia Oliva , Vincenzo Greco

We obtain general analytical solutions of third-order viscous hydrodynamic equations for Bjorken and Gubser flows in systems with vanishing bulk viscosity and chemical potential, and having a constant shear relaxation time. We also…

核理论 · 物理学 2019-02-20 Chandrodoy Chattopadhyay , Amaresh Jaiswal , Sunil Jaiswal , Subrata Pal

This Thesis concentrates on the analysis of coupled RTA (relaxation time approximation) kinetic equations for bosons and fermions. Bosons are treated as massless particles, while fermions have a finite mass. Using analytic and numerical…

核理论 · 物理学 2019-07-04 Ewa Maksymiuk

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…

统计力学 · 物理学 2017-09-19 A. R. Fernandes Nt. , L. F. Santos

We investigate whether hydrodynamic attractors are present in simulations of the quark-gluon plasma formed in heavy-ion collisions. We argue that Lagrangian schemes to solve the relativistic viscous fluid equations can be particularly…

核理论 · 物理学 2021-02-03 Gabriel S. Denicol , Jorge Noronha

We establish a set of equations for moments of the distribution function. In the relaxation time approximations, these moments obey a coupled set of equations that can be truncated order-by-order. Solving the equations of moments, we are…

核理论 · 物理学 2019-02-20 Jean-Paul Blaizot , Li Yan

We investigate the non-linear transport processes and hydrodynamization of a system of gluons undergoing longitudinal boost-invariant expansion. The dynamics is described within the framework of the Boltzmann equation in the small-angle…

高能物理 - 唯象学 · 物理学 2021-03-24 A. Behtash , S. Kamata , M. Martinez , T. Schaefer , V. Skokov

There is mounting evidence suggesting that relativistic hydrodynamics becomes relevant for the physics of quark-gluon plasma as the result of nonhydrodynamic modes decaying to an attractor apparent even when the system is far from local…

高能物理 - 理论 · 物理学 2017-12-14 Michał Spaliński

In relativistic kinetic theory, the one-particle distribution function is approximated by an asymptotic perturbative power series in Knudsen number which is divergent. For the Bjorken flow, we expand the distribution function in terms of…

高能物理 - 理论 · 物理学 2019-07-09 Alireza Behtash , Syo Kamata , M. Martinez , Haosheng Shi

We study the dissipative evolution of (0+1)-dimensionally expanding media with Bjorken symmetry using the Boltzmann equation for massive particles in relaxation-time approximation. Breaking conformal symmetry by a mass induces a non-zero…

核理论 · 物理学 2021-12-08 Chandrodoy Chattopadhyay , Sunil Jaiswal , Lipei Du , Ulrich Heinz , Subrata Pal

For the Bjorken flow we investigate the hydrodynamization of different modes of the one-particle distribution function by analyzing its relativistic kinetic equations. We calculate the constitutive relations of each mode written as a…

高能物理 - 理论 · 物理学 2019-09-23 Alireza Behtash , C. N. Cruz-Camacho , Syo Kamata , M. Martinez

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…

核理论 · 物理学 2013-05-22 Amaresh Jaiswal

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…

核理论 · 物理学 2015-11-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

A novel description of kinetic theory dynamics is proposed in terms of resummed moments that embed information of both hydrodynamic and non-hydrodynamic modes. The resulting expansion can be used to extend hydrodynamics to higher orders in…

核理论 · 物理学 2019-01-16 L. Tinti , G. Vujanovic , J. Noronha , U. Heinz

We provide a generalized formulation of fluctuating hydrodynamics for the far-from-equilibrium noisy medium. As an example, we consider a noisy plasma experiencing Bjorken expansion, for which the leading order evolution is captured by…

核理论 · 物理学 2022-06-28 Zenan Chen , Derek Teaney , Li Yan