3 research outputs found
Scaling and universality in the 2D Ising model with a magnetic field
The scaling function of the 2D Ising model in a magnetic field on the square
and triangular lattices is obtained numerically via Baxter's variational corner
transfer matrix approach. The use of the Aharony-Fisher non-linear scaling
variables allowed us to perform calculations sufficiently away from the
critical point to obtain very high precision data, which convincingly confirm
all predictions of the scaling and universality hypotheses. The results are in
excellent agreement with the field theory calculations of Fonseca and
Zamolodchikov as well as with many previously known exact and numerical results
for the 2D Ising model. This includes excellent agreement with the classic
analytic results for the magnetic susceptibility by Barouch, McCoy, Tracy and
Wu, recently enhanced by Orrick, Nickel, Guttmann and Perk.Comment: 5 pages, 1 figur
Variational approach to the scaling function of the 2D Ising model in a magnetic field
The universal scaling function of the square lattice Ising model in a
magnetic field is obtained numerically via Baxter's variational corner transfer
matrix approach. The high precision numerical data is in perfect agreement with
the remarkable field theory results obtained by Fonseca and Zamolodchikov, as
well as with many previously known exact and numerical results for the 2D Ising
model. This includes excellent agreement with analytic results for the magnetic
susceptibility obtained by Orrick, Nickel, Guttmann and Perk. In general the
high precision of the numerical results underlines the potential and full power
of the variational corner transfer matrix approach.Comment: 12 pages, 1 figure, 4 tables, v2: minor corrections, references adde