Figure 1 – The defender fluid at the fragmentation point in an L=70 system: all sites filled with defender fluid (top), the spanning network (middle) and its backbone (bottom).
It is found that the backbone of the defender network and its
transport
properties are the same as in ordinary percolation (OP). In
particular
the strength exponent of the backbone Db=0.99, the correlation length
exponent
n =0.88 and the conductivity exponent m=1.99
are the same as in OP. The total network deviates from networks
generated
with OP: on short length scales the formation of branches is
suppressed,
because pores with many empty neighbours are preferentially invaded.
The
differences between our IP results and the outcomes of OP are a
consequence
of the invasion mechanism. This makes clear that the details of the air
invasion process are important for understanding the transport
properties
in a drying network.
H.P. Huinink, L. Pel, M.A.J. Michels; The structure and transport
properties of liquid clusters in a drying porous medium, Physical
Review
E 68, 056114 (2003).