Introduction to Relativistic Hydrodynamics
Introduction to Relativistic Hydrodynamics
Introduction to Relativistic Hydrodynamics
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Heavy ion collisions<br />
Bjorken model and observables<br />
◮ energy change per unit of rapidity can be measured and calculated<br />
dE<br />
dy = d 3V dy ɛ(τf ) = πR 2<br />
<br />
d 2 x<br />
1+γ τ0<br />
τf ɛ0 = πR<br />
τf<br />
2 γ τ0<br />
ɛ0τ0<br />
τf<br />
◮ assume no hydrodynamical expansion any more (τ ≥ τf )<br />
ɛ0 =<br />
1<br />
πR 2 τ0<br />
dE<br />
dy<br />
◮ allows <strong>to</strong> estimate the initial energy density<br />
November 22nd, 2012 | TUD - IKP | D. Nowakowski | 30<br />
〈mt〉<br />
=<br />
πR2 dN<br />
dz |z=0 = 〈mt〉<br />
πR2 dy<br />
dz |z=0<br />
dN<br />
<br />
dy<br />
1/τ0