Lattice Boltzmann scheme for relativistic fluids

Anisotropic Jüttner (relativistic Boltzmann) distribution

The Jüttner (covariant Boltzmann) distribution is provided for anisotropic pressure (or temperature) tensors. Its manifestly covariant form follows from its scalar property.

用于等离子体尾场加速的暖流体模拟的格子玻尔兹曼方法

Lattice Boltzmann method for warm fluid simulations of plasma wakefield acceleration

本文开发了基于矩匹配的格子玻尔兹曼格式，用于粒子尾场加速过程的暖流体数值模拟，通过对比局部平衡与暖等离子体两种闭合假设，揭示了其动力学差异并验证了方法有效性。

Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation

In Molnár et al. [Phys. Rev. D 93, 114025 (2016)] the equations of anisotropic dissipative fluid dynamics were obtained from the moments of the Boltzmann equation based on an expansion around an arbitrary anisotropic single-particle distribution function. In this paper we make a particular choice for this distribution function and consider the boost-invariant expansion of a fluid in one dimension. In order to close the conservation equations, we need to choose an additional moment of the Boltzmann equation. We discuss the influence of the choice of this moment on the time evolution of fluid-dy…

Relativistic Lattice Boltzmann Model with Improved Dissipation

We develop a relativistic lattice Boltzmann (LB) model, providing a more accurate description of dissipative phenomena in relativistic hydrodynamics than previously available with existing LB schemes. The procedure applies to the ultra-relativistic regime, in which the kinetic energy (temperature) far exceeds the rest mass energy, although the extension to massive particles and/or low temperatures is conceptually straightforward. In order to improve the description of dissipative effects, the Maxwell-Juettner distribution is expanded in a basis of orthonormal polynomials, so as to correctly re…

Relativistic Entropy and Related Boltzmann Kinetics

It is well known that the particular form of the two-particle correlation function, in the collisional integral of the classical Boltzmman equation, fix univocally the entropy of the system, which turn out to be the Boltzmann-Gibbs-Shannon entropy. In the ordinary relativistic Boltzmann equation, some standard generalizations, with respect its classical version, imposed by the special relativity, are customarily performed. The only ingredient of the equation, which tacitly remains in its original classical form, is the two-particle correlation function, and this fact imposes that also the rela…