Transport coefficients for hard-sphere relativistic gas.

@article{Ghodrat2020TransportCF,
  title={Transport coefficients for hard-sphere relativistic gas.},
  author={Malihe Ghodrat},
  journal={Physical review. E},
  year={2020},
  volume={102 2-1},
  pages={
          022117
        }
}
  • M. Ghodrat
  • Published 1 August 2020
  • Physics, Medicine
  • Physical review. E
Transport coefficients are of crucial importance in theoretical as well as experimental studies. Despite substantial research on classical hard sphere or disk gases in low- and high-density regimes, a thorough investigation of transport coefficients for massive relativistic systems is missing in the literature. In this work a fully relativistic molecular dynamics simulation is employed to numerically obtain the transport coefficients of a hard sphere relativistic gas based on Helfand-Einstein… 

Figures and Tables from this paper

References

SHOWING 1-10 OF 83 REFERENCES
Heat transport and diffusion in a canonical model of a relativistic gas
Relativistic transport phenomena are important from both theoretical and practical point of view. Accordingly, hydrodynamics of relativistic gas has been extensively studied theoretically. Here, we
Molecular dynamics approach to dissipative relativistic hydrodynamics: Propagation of fluctuations
Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as
Studies in Molecular Dynamics. VIII. The Transport Coefficients for a Hard-Sphere Fluid
The diffusion coefficient, the shear and bulk viscosity, and the thermal conductivity have been evaluated by means of their Einstein expressions by molecular dynamics computation over the entire
Transport coefficients for dense hard-disk systems.
TLDR
A striking power law divergence of the viscosity with density is obtained in this region, while all other examined transport coefficients show a drop in that density range in relation to the Enskog's prediction.
Statistical thermodynamics of a two-dimensional relativistic gas.
TLDR
It is shown that while local thermal equilibrium holds in the moving frame, relying on statistical methods such as distribution functions or equipartition theorem are ultimately inconclusive in deciding on a correct temperature transformation law (if any).
Molecular dynamics simulation of a relativistic gas: Thermostatistical properties
TLDR
It is found that Juttner function is the correct generalization of Maxwell–Boltzmann velocity distribution, and it is concluded that relativistic temperature is best understood as a rest-frame-property, invariant under various relativist transformations, i.e. Lorentz transformation and time reparametrization.
The kinetic theory of simple and composite monatomic gases : viscosity, thermal conduction, and diffusion
The mean-free-path phenomena of gases can be explained in a general way by a very elementary form of the kinetic theory, but to develop a satisfactory mathematical treatment of them, yielding
Collective cyclotron motion of the relativistic plasma in graphene
We present a theory of the finite temperature thermoelectric response functions of graphene in the hydrodynamic regime where electron-electron collisions dominate the scattering. In moderate magnetic
Hydrodynamic Model for Conductivity in Graphene
TLDR
The model, which predicts the conductivity as a function of the impurity fraction of the sample, is supported by extensive simulations for different values of ε, the dimensionless strength of the electric field, and provides excellent agreement with experimental data.
Relativistic thermodynamics of gases
Abstract Relativistic thermodynamics of degenerate gases is presented here as a field theory of the 14 fields of particle density—particle flux, and stress—energy—momentum. The field equations are
...
1
2
3
4
5
...