New exact solution of the relativistic Boltzmann equation and its hydrodynamic limit.
@article{Denicol2014NewES, title={New exact solution of the relativistic Boltzmann equation and its hydrodynamic limit.}, author={Gabriel S. Denicol and Ulrich Heinz and Mauricio Mart{\'i}nez and Jorge Noronha and Michael Strickland}, journal={Physical review letters}, year={2014}, volume={113 20}, pages={ 202301 } }
We present an exact solution of the relativistic Boltzmann equation for a system undergoing boost-invariant longitudinal and azimuthally symmetric transverse flow ("Gubser flow"). The resulting exact nonequilibrium dynamics is compared to first and second order relativistic hydrodynamic approximations for various shear viscosity to entropy density ratios. This novel solution can be used to test the validity and accuracy of different hydrodynamic approximations in conditions similar to those…
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References
SHOWING 1-10 OF 28 REFERENCES
Ann
- Psychology
- 2005
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed…
Physica 74
- 466 (1974); 489
- 1974
Nucl
- Phys. B 846, 469
- 2011
Phys
- Rev. D 82, 085027
- 2010
Phys
- Rev. C 90, 044905
- 2014
Phys
- Rev. C 89, 054908
- 2014
Phys
- Rev. D 83, 074019
- 2011
Phys
- Rev. C 89, 034907
- 2014
Nucl
- Phys. A 848, 183
- 2010