Introduction to Relativistic Hydrodynamics
Introduction to Relativistic Hydrodynamics
Introduction to Relativistic Hydrodynamics
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<strong>Relativistic</strong> hydrodynamics<br />
Ideal hydrodynamics and dissipative effects<br />
◮ separate ideal and dissipative parts (Landau frame)<br />
T µν = T µν<br />
0<br />
N µ = N µ<br />
0<br />
+ δT µν<br />
+ δNµ<br />
Ideal Dissipative<br />
Pressure P = Ps + Π Π = 0 Π = 0<br />
Energy / heat current W µ W µ = 0 W µ = 0<br />
Shear stress tensor π µν π µν = 0 π µν = 0<br />
Charge current V µ<br />
i<br />
V µ<br />
i<br />
= 0 V µ<br />
i = 0<br />
◮ consider only ideal hydrodynamics for now<br />
1. local thermal equilibrium 3. unique flow u<br />
2. isotropy for the pressure<br />
µ<br />
L = uµ<br />
E<br />
4. no viscous corrections<br />
November 22nd, 2012 | TUD - IKP | D. Nowakowski | 13
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