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13
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2answers
29 views
Sampling typical clusters between distant points in subcritical percolation
I have on several occasions wondered how one might proceed in order to sample large subcritical Bernoulli bond-percolation clusters, say on the square lattice.
More precisely, let's consider the ...
4
votes
1answer
154 views
The strong Markov property of Gibbs measures in 2D Ising Model
My background is that of a mathematician. I have a question about the two Dimensional Ising Model. I think the terminology I use is similar to the physical.
I'm trying to understand the following ...
4
votes
1answer
232 views
Percolation in a 2D Ising model
For a 2D Ising model with zero applied field, it seems logical to me that the phases above and below T_c will have different percolation behaviour. I would expect that percolation occurs (and hence ...
3
votes
1answer
101 views
Definition regarding percolation
in a homework sheet studying bond-percolation on the Bethe lattice, a function $g(r)$ is introduced as "the probability of finding two nodes separated by a distance $r$ on the same cluster".
Now ...
2
votes
1answer
73 views
Have characteristics of a 'doubly percolated' lattice been described
Has a system where conducting sites can percolate by hopping over/tunnelling through a non-conducting site been described? If so what are the characteristics, and where can I find more details (such ...
1
vote
0answers
42 views
finding resistance from percolation theory with only energy disorder
Within an Miller-Abrahams random resistor model, finding the critical resistance when there is spatial disorder is simple as there is the bonding criterion
$\int_0^{r_c} 4 \pi N r^2 dr = B_c \approx ...
0
votes
0answers
99 views
Can critical slowing down be used to distinguish between first and second order phase transitions?
We are simulating a percolation dynamic system where we obtain first or second order phase transitions depending on certain parameters. For certain values it is clear that we are in the first-order ...
