High-temperature series expansions for the $q$-state Potts model on a hypercubic lattice and critical properties of percolation

Details High-temperature series expansions for the $q$-state Potts model on a hypercubic lattice and critical properties of percolation High-temperature series expansions for the $q$-state Potts model on a hypercubic lattice and critical properties of percolation

2006-07-17

arxiv.org/abs/cond-mat/0607423v3

Phys. Rev. E74(2006)051113

Physics

Condensed Matter

Statistical Mechanics

2 references added

Scientific paper

10.1103/PhysRevE.74.051113

We present results for the high-temperature series expansions of the susceptibility and free energy of the $q$-state Potts model on a $D$-dimensional hypercubic lattice $\mathbb{Z}^D$ for arbitrary values of $q$. The series are up to order 20 for dimension $D\leq3$, order 19 for $D\leq 5$ and up to order 17 for arbitrary $D$. Using the $q\to 1$ limit of these series, we estimate the percolation threshold $p_c$ and critical exponent $\gamma$ for bond percolation in different dimensions. We also extend the 1/D expansion of the critical coupling for arbitrary values of $q$ up to order $D^{-9}$.

Affiliated with

Also associated with

No associations

Rating

High-temperature series expansions for the $q$-state Potts model on a hypercubic lattice and critical properties of percolation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with High-temperature series expansions for the $q$-state Potts model on a hypercubic lattice and critical properties of percolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-temperature series expansions for the $q$-state Potts model on a hypercubic lattice and critical properties of percolation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-506862