It is shown that temperature-dependent resistivity measurements of compacted and sintered powders allow for extracting independent information on sample density on the one hand and sintering-induced changes of grain-to-grain contacts on the other hand. The temperature gradient of the resistivity as a function of sample density follows (semi-) universal laws derived from percolation theory.
REFERENCES
1.
2.
3.
4.
J. M.
Montes
, J. A.
Rodiguez
, and E. J.
Herrera
, Powder Metall.
46
, 251
(2003
).5.
C.
Chiteme
and D. S.
McLachlan
, Phys. Rev. B
67
, 024206
(2003
), and references therein.6.
7.
Goodfellow PT006021 and AG006030.
8.
D.
Stauffer
and A.
Aharony
, Introduction to Percolation Theory
(Taylor & Francis
, London 1992
).9.
M.
Sahimi
, Applications of Percolation Theory
(Taylor & Francis
, London 1994
).10.
C.-W.
Nan
, Prog. Mater. Sci.
37
, 1
(1993
), and references therein.11.
These values apply for large systems, i.e., for samples much larger than the diameter of the spheres.
12.
J. C.
Maxwell
, A Treatise on Electricity and Magnetism
(Clarendon
, Oxford, 1873
), Vol. 1
, Art. 314, p. 442
.13.
14.
R.
Landauer
, J. Appl. Phys.
23
, 779
(1952
).15.
A.
König
, A.
Schindler
, and T.
Herrmannsdörfer
, Phys. Rev. Lett.
82
, 4528
(1999
).© 2005 American Institute of Physics.
2005
American Institute of Physics
You do not currently have access to this content.
