Introduction to Relativistic Hydrodynamics

Heavy ion collisions
Bjorken model (Bjorken, Phys. Rev. D 27, 140-151 (1983))
◮ valid for times of the order from τ ≈ 1 fm/c to τ ≈ 5 − 10 fm/c
◮ specify to expansion along z direction
◮ introduce a boost-invariant four-velocity
u µ =
˜x µ
τ
t
= 1, 0, 0,
τ
z
t
◮ due to Lorentz-symmetry and initial conditions
November 22nd, 2012 | TUD - IKP | D. Nowakowski | 27
ɛ = ɛ(τ, y) → ɛ(τ)
P = P(τ, y) → P(τ)
1
= √ (t, 0, 0, z)
t 2 − z2 T = T (τ, y) → T (τ) = β −1 (τ)