Low temperature series expansions for the square lattice Ising model with spin S > 1

Details Low temperature series expansions for the square lattice Ising model with spin S > 1 Low temperature series expansions for the square lattice Ising model with spin S > 1

1996-04-15

arxiv.org/abs/cond-mat/9604080v1

Physics

Condensed Matter

14 pages, LaTeX with IOP style files (ioplppt.sty), epic.sty and eepic.sty. To appear in J. Phys. A

Scientific paper

10.1088/0305-4470/29/14/009

We derive low-temperature series (in the variable $u = \exp[-\beta J/S^2]$) for the spontaneous magnetisation, susceptibility and specific heat of the spin-$S$ Ising model on the square lattice for $S=\frac32$, 2, $\frac52$, and 3. We determine the location of the physical critical point and non-physical singularities. The number of non-physical singularities closer to the origin than the physical critical point grows quite rapidly with $S$. The critical exponents at the singularities which are closest to the origin and for which we have reasonably accurate estimates are independent of $S$. Due to the many non-physical singularities, the estimates for the physical critical point and exponents are poor for higher values of $S$, though consistent with universality.

Affiliated with

Also associated with

No associations

Rating

Low temperature series expansions for the square lattice Ising model with spin S > 1 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 Low temperature series expansions for the square lattice Ising model with spin S > 1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low temperature series expansions for the square lattice Ising model with spin S > 1 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-215880