15.07.2013 Views

Introduction to Relativistic Hydrodynamics

Introduction to Relativistic Hydrodynamics

Introduction to Relativistic Hydrodynamics

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!