Claims that the extent to which will power is exhaustible depends on one's belief about it's exhaustibility: http://www.sciencedaily.com/releases/2010/10/101014144318.htm
This needs to be checked for the direction of causality-- maybe people have accurate beliefs about how depletable their willpower is.
This paper (PDF)1 looks more than a little interesting:
I find this interesting, in that the days I get less work done (due to e.g. spending more time on Less Wrong) are often days when I don't eat breakfast right away, and am generally undereating (like today).
References
1. Matthew T. Gailliot, Roy F. Baumeister. (2007) The Physiology of Willpower: Linking Blood Glucose to Self-Control. Personality and Social Psychology Review, Vol. 11, No. 4, 303-327