Anisotropic expansion, dissipative hydrodynamics from kinetic theory
نویسندگان
چکیده
In this paper, we consider Kasner space-time describing anisotropic three-dimensional expansion of the fluid and obtain dissipative evolution equations for shear stress tensor energy density from kinetic theory. For this, use iterative solution relativistic Boltzmann equation with relaxation time approximation. We show that our results second- third-order reduce to those one-dimensional case under suitable conditions parameters in space-time.
منابع مشابه
From kinetic theory to dissipative fluid dynamics
We present the results of deriving the Israel-Stewart equations of relativistic dissipative fluid dynamics from kinetic theory via Grad’s 14-moment expansion. Working consistently to second order in the Knudsen number, these equations contain several new terms which are absent in previous treatments.
متن کاملCausal Theory of Relativistic Dissipative Hydrodynamics
We present a new formalism for the theory of relativistic dissipative hydrodynamics, where covariance and causality are satisfied by introducing the memory effect in irreversible currents. Our theory has a much simpler structure and thus has several advantages for practical purposes compared to the Israel-Stewart theory (IS). We apply our formalism to the Bjorken model and the results are shown...
متن کاملBuilding a Hydrodynamics Code with Kinetic Theory
We report on the development of a test-particle based kinetic Monte Carlo code for large systems and its application to simulate matter in the continuum regime. Our code combines advantages of the Direct Simulation Monte Carlo and the Point-of-Closest-Approach methods to solve the collision integral of the Boltzmann equation. With that, we achieve a high spatial accuracy in simulations while ma...
متن کاملDissipative effects from transport and viscous hydrodynamics
We compare 2 → 2 covariant transport theory and causal IsraelStewart hydrodynamics in 2+1D longitudinally boost invariant geometry with RHIC-like initial conditions and a conformal ε = 3p equation of state. The pressure evolution in the center of the collision zone and the final differential elliptic flow v2(pT ) from the two theories agree remarkably well for a small shear viscosity to entropy...
متن کاملKinetic Integrals in the Kinetic Theory of dissipative gases
The kinetic theory of gases, including Granular Gases, is based on the Boltzmann equation. Many properties of the gas, from the characteristics of the velocity distribution function to the transport coefficients may be expressed in terms of functions of the collision integral which we call kinetic integrals. Although the evaluation of these functions is conceptually straightforward, technically...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics
سال: 2022
ISSN: ['0217-751X', '1793-656X']
DOI: https://doi.org/10.1142/s0217751x22501688