# Boltzmann equation with a nonlocal collision term and the resultant dissipative fluid dynamics

@article{Jaiswal2012BoltzmannEW, title={Boltzmann equation with a nonlocal collision term and the resultant dissipative fluid dynamics}, author={Amaresh Jaiswal and Rajeev Bhalerao and Subrata Pal}, journal={Journal of Physics: Conference Series}, year={2012}, volume={422}, pages={012003} }

Starting with the relativistic Boltzmann equation where the collision term was generalized to include gradients of the phase-space distribution function, we recently presented a new derivation of the equations for the relativistic dissipative fluid dynamics. We compared them with the corresponding equations obtained in the standard Israel-Stewart and related approaches. Our method generates all the second-order terms that are allowed by symmetry, some of which have been missed by the…

## 7 Citations

### Relativistic Third-order Viscous Hydrodynamics

- Physics
- 2015

Employing the iterative solution of Boltzmann equation in relaxation time approximation, we derive a third-order evolution equation for shear stress tensor from its kinetic definition. To this end we…

### Formulation of relativistic dissipative fluid dynamics and its applications in heavy-ion collisions

- Physics
- 2014

Relativistic fluid dynamics finds application in astrophysics, cosmology and the physics of high-energy heavy-ion collisions. In this thesis, we present our work on the formulation of relativistic…

### Relaxation-time approximation and relativistic third-order viscous hydrodynamics from kinetic theory

- Physics
- 2014

### High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases

- PhysicsPhysical Review C
- 2018

We present a systematic procedure for the construction of relativistic lattice Boltzmann models (R-SLB) appropriate for the simulation of flows of massless particles. Quadrature rules are used for…

### Relativistic Hydrodynamics in Heavy-Ion Collisions: General Aspects and Recent Developments

- Physics
- 2016

Relativistic hydrodynamics has been quite successful in explaining the collective behaviour of the QCD matter produced in high energy heavy-ion collisions at RHIC and LHC. We briefly review the…

### Higher order and anisotropic hydrodynamics for Bjorken and Gubser flows

- PhysicsPhysical Review C
- 2018

We study the evolution of hydrodynamic and nonhydrodynamic moments of the distribution function using anisotropic and third-order Chapman-Enskog hydrodynamics for systems undergoing Bjorken and…

## References

SHOWING 1-10 OF 18 REFERENCES

### Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory.

- Physics, MathematicsPhysical review letters
- 2010

This work rederive the equations of motion of dissipative relativistic fluid dynamics from kinetic theory using the second moment of the Boltzmann equation, and shows that, for the one-dimensional scaling expansion, the method is in better agreement with the solution obtained from the BoltZmann equation.

### Derivation of transient relativistic fluid dynamics from the Boltzmann equation

- Physics, Mathematics
- 2012

In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann equation using the method of moments. The main difference between our approach and the traditional…

### New Developments in Relativistic Viscous Hydrodynamics

- Physics
- 2010

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear)…

### Relativistic viscous hydrodynamics, conformal invariance, and holography

- Physics, Mathematics
- 2008

We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order…

### Nonlinear fluid dynamics from gravity

- Physics
- 2008

Black branes in AdS5 appear in a four parameter family labeled by their velocity and temperature. Promoting these parameters to Goldstone modes or collective coordinate fields—arbitrary functions of…

### Aspects of causal viscous hydrodynamics

- Physics
- 2008

We investigate the phenomenology of freely expanding fluids, with different material properties, evolving through the Israel-Stewart (IS) causal viscous hydrodynamics, and compare our results with…

### Dissipative hydrodynamics and heavy-ion collisions

- Physics
- 2006

Recent discussions of RHIC data emphasized the exciting possibility that the matter produced in nucleus-nucleus collisions shows properties of a near-perfect fluid. Here, we aim at delineating the…

### Constraints on the second order transport coefficients of an uncharged fluid

- Physics
- 2012

A bstractIn this note we have tried to determine how the existence of a local entropy current with non-negative divergence constrains the second order transport coefficients of an uncharged fluid,…

### Relativistic Kinetic Theory: Principles and Applications

- Physics
- 1980

Preface. Historical background. Part A. Basic Equations. I. Elements of relativistic kinetic theory. II. Conservation laws and H-theorem. Part B. Derivation of the Transport Equation. III. Scalar…

### Shear viscosity and out of equilibrium dynamics

- Materials Science
- 2009

Using Grad's method, we calculate the entropy production and derive a formula for the second-order shear viscosity coefficient in a one-dimensionally expanding particle system, which can also be…