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8. References

1
L.M. Schwartz and J.R. Banavar, Phys. Rev. B 39, 11965 (1989).

2
V.K. S. Shante and S. Kirkpatrick, Adv. in Phys. 20, 325 (1971).

3
A. Atkinson and A.K. Nickerson, J. Mats. Sci. 19, 3069 (1984).

4
A.H. Thompson, A.J. Katz, and C.E. Krohn, Adv. in Phys. 36, 625 (1987).

5
J. Pommersheim and J.R. Clifton, Mats. and Const. 18, 21 (1985).

6
W.C. Hanson, in The Chemistry of Sulphate-Resisting Portland Cements, E.G. Swanson (ed) (Univ. of Toronto Press, Toronto, 1968).

7
A. Atkinson, Nuc. and Chem. Mgt. 5, 203-214 (1985).

8
D.P. Bentz, D.B. Gingold, E.J. Garboczi, C.J. Lobb, and H.M. Jennings, in Advances in Cementitious Materials, Ceramics Transactions 16, 227-236 (1991).

9
E.J. Garboczi and D.P. Bentz, in Materials Science of Concrete Vol. II, edited by J. Skalny (American Ceramic Society, Westville, 1990).

10
K. L. Scrivener, in Materials Science of Concrete Vol. I, edited by J. Skalny (American Ceramic Society, Westville, 1989).

11
S. Mindess and J.F. Young, Concrete, (Prentice-Hall, Inc., Englewood Cliffs, NJ, 1981).

12
E.M. Gartner and J.M. Gaidis, in Materials Science of Concrete Vol. I, edited by J. Skalny (American Ceramic Society, Westerville, 1989).

13
D.P. Bentz and E.J. Garboczi, "Percolation of Phases in a Three-Dimensional Cement Paste Microstructural Model", Cem. and Conc. Res. 21, 325-344 (1991).

14
J.F. Young and W. Hansen, in Microstructural Development During Hydration of Cement, edited by L.J. Struble and P.W. Brown (Materials Research Society, Pittsburgh, 1987).

15
P. Meakin, in Phase Transitions and Critical Phenomena, Vol. 12, edited by C. Domb and J.L. Leibowitz (Academic Press, New York, 1988).

16
M. Eden, in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability Vol. IV, edited by Jerzy Neyman (Univ. of California Press, Berkeley, 1961).

17
D.P. Bentz, A 3-D cement hydration and microstructure program. I. Hydration rate, heat of hydration, and chemical shrinkage, NIST Internal report, NISTIR 5756 (1995).

18
D.P. Bentz, P. Coveney, E.J. Garboczi, M.F. Kleyn, andd P.E. Stutzman, Mod. Sim. Mater. Sci. Eng. 2, 783-808 (1994).

19
E.J. Garboczi and D.P. Bentz, "Digital simulation of the aggregate-cement paste interfacial zone in concrete," J. Mats. Res. 6, 196 (1991).

20
D. Stauffer, Introduction to Percolation Theory (Taylor and Francis, London, 1985).

21
H. Scher and R. Zallen, J. Chem. Phys. 53, 3759 (1970); R. Zallen, The Physics of Amorphous Solids (J. Wiley and Sons, New York, 1983).

22
C.L. Page, N.R. Short, and A. El Tarras, Cem. and Conc. Res. 11, 395 (1981).

23
R.T. Coverdale, E.J. Garboczi, and H.M. Jennings, Comp. Mater. Sci. 3, 465-474 (1995).

24
R.T. Coverdale, B.J. Christensen, T.O. Mason, H.M. Jennings, E.J. Garboczi, and D.P. Bentz, J. Mater. Sci. 30, 712-719 (1995).

25
R.T. Coverdale, B.J. Christensen, T.O. Mason, H.M. Jennings, and E.J. Garboczi, J. Mater. Sci. 29, 4984-4992 (1994).

26
R.A. Olson, B.J. Christensen, R.T. Coverdale, S.J. Ford, G.M. Moss, H.M. Jennings, T.O. Mason, and E.J. Garboczi, J. Mater. Sci. 30, 5078-5086 (1995).

27
G. Hsieh, T.O. Mason, E.J. Garboczi, and L.R. Pederson, Experimental limitations in impedance spectroscopy: Part III--Effect of reference electrode position, Solid State Ionics (1997), in press.

28
E.J. Garboczi, Manual for finite element and finite difference programs, NIST Internal Report NISTIR ** (1997).

29
R. Fogelholm, J. of Phys. C 13, L571 (1980).

30
D.B. Gingold and C.J. Lobb, Phys. Rev. B 42, 8220 (1990).

31
W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, Cambridge, 1986).

32
O. Gautefall, American Concrete Institute Special Publication 91-48.

33
J.H. Talpin, Aust. J. Appl. Sci. 10, 329 (1959).

34
L. Roberts, in Materials Science of Concrete Vol. I, edited by J. Skalny (American Ceramic Society, Westerville, 1989).

35
D.P. Bentz and E.J. Garboczi, " Simulation Studies of the Effects of Mineral Admixtures on the Cement Paste-Aggregate Interfacial Zone", Amer. Conc. Inst. Mater. J. 88, 518-529 (1991).

36
S.A. Rodger and G.W. Groves, Advances in Cem. Res., 1, 84, (1988).

37
Z.Q. Wu and J.F Young, J. Mat. Sci., 19, 3477 (1984).

38
C.M. Dobson, D.G.C. Goberdhan, J.D.F. Ramsay, and S.A. Rodger, J. Mat. Sci. 23, 4108 (1988).

39
M.A. Dubson and J.C. Garland, Phys. Rev. B 32, 7621 (1985).

40
P. Sen, C. Scala, and M.H. Cohen, Geophys. 46, 781 (1981).

41
Archie's law is really of the same functional form as eq. (3), ( - c)m, but for sandstone rocks, c is approximately zero. Atkinson, in ref. 3, when demonstrating that Archie's law did not apply to cement paste, did not know that c = 0.18, rather than 0, for cement paste.

42
D.S. McLachlan, M. Blaszkiewicz, and R.E. Newnham, J. Am. Ceram. Soc. 73, 2187 (1990).


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