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Calculation of anisotropic transport coefficients for a Boltzmann gas in strong magnetic field within a parton cascade

Not scheduled
15m
Hualongcheng Hotel

Hualongcheng Hotel

469 Shizhou Road Enshi, Hubei,China

Speaker

Mr Zhengyu Chen (Tsinghua University)

Summary

The existence of very large magnetic fields has been confirmed in relativistic heavy-ion collisions
and the magnetic field will influence the fluid-dynamical evolution in these systems. Disipative
magnetohydrodynamics show that the dissipative functions generally contain five shear viscosities,
two bulk viscosities and three electrical conductivity coefficients. Employing the (3+1)-d parton
cascade Boltzmann approach of multiparton scatterings (BAMPS), we calculate the anisotropic
transport coefficients with the Kubo formulas for a massless Boltzmann gas in strong magnetic
field. The presence of magnetic field can induce the oscillations of the corresponding correlation
functions, which can lead to the change of their signs. The transport coefficients can also be obtained
from 14-moment approximation. We find an good agreement between these two methods for the
case of shear viscosities, which indicates the practicability that BAMPS can calculate the anisotropic
transport coefficients for more realistic quark gluon matter. However, there exists discrepancy in the
Kubo formulas for electric conductivities between some previous works. And our numerical results
compared with 14-moment values may give a hint for solving the discrepancy.

Primary author

Mr Zhengyu Chen (Tsinghua University)

Co-authors

Mr Anping Huang (Tsinghua University) Mr Zhe Xu (Tsinghua University)

Presentation materials

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