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- W3172987281 abstract "We calculate exact analytic expressions for the average cluster numbers $langle k rangle_{Lambda_s}$ on infinite-length strips $Lambda_s$, with various widths, of several different lattices, as functions of the bond occupation probability, $p$. It is proved that these expressions are rational functions of $p$. As special cases of our results, we obtain exact values of $langle k rangle_{Lambda_s}$ and derivatives of $langle k rangle_{Lambda_s}$ with respect to $p$, evaluated at the critical percolation probabilities $p_{c,Lambda}$ for the corresponding infinite two-dimensional lattices $Lambda$. We compare these exact results with an analytic finite-size correction formula and find excellent agreement. We also analyze how unphysical poles in $langle k rangle_{Lambda_s}$ determine the radii of convergence of series expansions for small $p$ and for $p$ near to unity. Our calculations are performed for infinite-length strips of the square, triangular, and honeycomb lattices with several types of transverse boundary conditions." @default.
- W3172987281 created "2021-06-22" @default.
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- W3172987281 date "2021-05-27" @default.
- W3172987281 modified "2023-09-27" @default.
- W3172987281 title "Exact Results for Average Cluster Numbers in Bond Percolation on Infinite-Length Lattice Strips" @default.
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- W3172987281 hasPublicationYear "2021" @default.
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