Introduction to Relativistic Hydrodynamics

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Classical hydrodynamics and thermodynamics A short glance Hydrodynamics ◮ continuous media with collective behavior ◮ pressure and temperature slowly varying Thermodynamics ◮ change from extensive to intensive variables November 22nd, 2012 | TUD - IKP | D. Nowakowski | 7 ɛ = E V , s = S N , n = N V ɛ + P = Ts + µn , dɛ = Tds + µdn , c 2 ∂P s = ∂ɛ
Relativistic hydrodynamics Basic equations ◮ system characterized by 4-velocity ( = c = kB = 1) u µ = γ, γv , u µ uµ = 1 (flat spacetime) ◮ local thermal equilibrium is required ◮ energy-momentum conservation yields ∂µT µν = 0 ⇒ 4 equations ◮ current conservation (Baryon number, ...) requires November 22nd, 2012 | TUD - IKP | D. Nowakowski | 8 ∂µN µ i = 0 ⇒ 1 equation
Page 1 and 2: Introduction to Relativistic Hydrod
Page 3 and 4: Heavy ion collisions A very naive p
Page 5: Relativistic hydrodynamics Introduc
Page 9 and 10: Relativistic hydrodynamics Basic eq
Page 11 and 12: Relativistic hydrodynamics Overview
Page 13 and 14: Relativistic ideal hydrodynamics Lo
Page 15 and 16: Relativistic viscous hydrodynamics
Page 17 and 18: Relativistic viscous hydrodynamics
Page 19 and 20: Relativistic hydrodynamics Equation
Page 21 and 22: Heavy ion collisions November 22nd,
Page 23 and 24: Heavy ion collisions Schematic time
Page 25 and 26: Heavy ion collisions Initial condit
Page 27 and 28: Heavy ion collisions Bjorken model
Page 33 and 34: Heavy ion collisions Bjorken model:
Page 35 and 36: Heavy ion collisions Bjorken model:
Page 37 and 38: Heavy ion collision and the Bjorken
Page 39 and 40: Outlook “... it is by no means cl

Introduction to Relativistic Hydrodynamics

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