Non-Equilibrium Ionization

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Oct 17, 2008 1 Non-Equilibrium Ionization Orly Gnat (Caltech) with Amiel Sternberg (Tel-Aviv University) Gnat & Sternberg 2007, ApJS, 168, 213 in Post-Shock Cooling Layers in Metal Ion Absorbers and Gnat & Sternberg 2008, ApJ submitted

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Non-Equilibrium Ionization. in Metal Ion Absorbers and. in Post-Shock Cooling Layers. Gnat & Sternberg 2007, ApJS, 168, 213. Gnat & Sternberg 2008, ApJ submitted. Orly Gnat (Caltech) with Amiel Sternberg (Tel-Aviv University). Non–Equilibrium Radiative Cooling. - PowerPoint PPT Presentation

Transcript of Non-Equilibrium Ionization

Page 1: Non-Equilibrium Ionization

Oct 17, 2008 1

Non-Equilibrium Ionization

Orly Gnat(Caltech)

with Amiel Sternberg(Tel-Aviv University)

Gnat & Sternberg 2007, ApJS, 168, 213

in Post-Shock Cooling Layers

in Metal Ion Absorbers and

Gnat & Sternberg 2008, ApJ submitted

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Non–Equilibrium Radiative Cooling• Cooling is faster than recombination

(tc<<tr)

• Gas stays “over-ionized”• Modified ionization affects cooling rates:

for over-ionized gas cooling is suppressed• Cooling rate depends on metallicity

More metals ⇒ faster cooling ⇒

further out of equilibrium

ApJS 168, 213

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Numerical Computation• Cooling from CIE at T>5x106K.• Follow time-dependent ionization

dxi/dt=…

~

• The energy equation (Cooling) dT/dt=…• Step 1: No Photoionization• dxi/dT independent of density …But depends on metallicity

H HeC N O

Ne MgSi S Fe

ApJS 168, 213

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Results: Ionization - Hydrogen

104 105 104 105 106

Temperature (K) Temperature (K)106

100

10-1

10-2

Recombination Lag

time

Equilibrium Non-Equilibrium

ApJS 168, 213

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Results: Ionization - Carbon

104 105 104 105 106

Temperature (K) Temperature (K)106

100

10-1

10-2

Equilibrium Non-Equilibrium

ApJS 168, 213

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Results: CIE Cooling

Bremsstrahlung

Metal LineCooling

He Cooling

10-21

10-22

10-23

10-24

H Lya

eq

(

erg

cm

3 s

-

1)

104 105 106 107 108

Temperature (K)

Z = 2Z = 1Z = 10-1

Z = 10-2

Z = 10-3

coo

lin

g e

ffic

ien

cy

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Results: Non-Equilibrium Cooling

Equilibrium

Non-Equilibrium

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Local Metal-Ion Absorbers

Turbulent

Mixing

Layers

Conductive

Interfaces

Co

oli

ng

Flo

ws

Sh

oc

kIo

niz

ati

on

log ( NV / OVI )

log

( C

IV /

OV

I )

Fox et al. 2005ApJ 630, 332

ApJS 168, 213

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High Velocity Metal Absorbers

Fox et al. 2005ApJ, 630, 332

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Time-Dependent Cooling - Summary• Equilibrium and Non-Equilibrium

Ionization States & Cooling Efficiencies ofH, He, C, N, O, Ne, Mg, Si, S, & Fe,For 104 < T < 108 Kand 10-3 < Z < 2 solar.

• Isochoric / Isobaric – conditions & results.• Impact of Self Radiation.

http://wise-obs.tau.ac.il/~orlyg/cooling/

ApJS 168, 213

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Step 2: Steady Flows of Cooling Gas

• Integrated metal-ioncooling columnsin steady flows of cooling gas

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Post Shock Cooling Layers

gas

Pre-shock Post-shock

<— upstream downstream —>

T(x)

shock

• Radiative transfer ⇒ Photoionization, heating

• Ionization: Auger• Precursor

• Dynamics

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Post-Shock Cooling Layers

• Two extremes:– No B field - explicitly follow

Rankine-Hugoniot continuity eqns:MassMomentumEnergy

Nearly isobaric flow: P∞ = 4/3 P0

– Strong B field - isochoric evolution.

)(v),(,)(,)( ttTtPt

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Post-Shock Cooling: Shock Structure

Ts=5x106K

Z=0.1nH=0.1cm-3(P

hoto

ion

ized

) R

ad

iati

ve P

recu

rsor

High-TRadiative

Zone

Non-eqCoolingZone

The Photo-absorption

Zone

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Post-Shock Cooling: Shock Structure

Shock temperature

Magneticfield Gas

Metallicity

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Post-Shock Cooling: Emitted Radiation

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Post-Shock Cooling: Column Densities

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Gnat & Sternberg 2008

• Shock Structure, Profiles, Scaling Relations

• Ion Fractions• Cooling and Heating• Integrated Column Densities• Columns in Precursors

Thank you !