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		| Paper: | 
		Keeping the Universe Ionised: Photoheating and the High-redshift   Clumping Factor of the Intergalactic Gas | 
	 
	
		| Volume: | 
		432, New Horizons in Astronomy: Frank N. Bash Symposium 2009 | 
	 
	
		| Page: | 
		230 | 
	 
	
		| Authors: | 
		Pawlik, A. H.; Schaye, J.; van Scherpenzeel, E. | 
	 
	
	
		| Abstract: | 
		The critical star formation rate density required to keep the intergalactic
 hydrogen ionised depends crucially on the average rate of recombinations in
 the intergalactic medium (IGM). This rate is proportional to the clumping factor CIGM≡‹ρb2›IGM /
 ρb2, where ρb and ρb are the
 local and cosmic mean baryon density, respectively, and the brackets ‹
 ›IGM indicate spatial averaging over the recombining gas in the
 IGM.  We perform a suite of cosmological smoothed particle hydrodynamics
 simulations to calculate the volume-weighted clumping factor of the IGM at
 redshifts z≥6. We investigate the effect of photoionisation heating by a
 uniform ultraviolet background and find that photoheating strongly reduces the
 clumping factor as the increased pressure support smoothes out small-scale
 density fluctuations. Even our most conservative estimate for the clumping
 factor, CIGM = 6, is five times smaller than the clumping factor that
 is usually employed to determine the capacity of star-forming galaxies to keep
 the z≈6 IGM ionised. Our results imply that the observed population
 of star-forming galaxies at z≈6 may be sufficient to keep the IGM
 ionised, provided that the IGM was reheated at zga9 and that the fraction
 of ionising photons that escape star-forming regions to ionise the IGM is
 larger than 0.25. | 
	 
	
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