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RESEARCH RESULTS FROM N.S. IZMAILIAN AND COLLEAGUES UPDATE UNDERSTANDING OF NUCLEAR PHYSICS
Physics Week
November 9, 2010
According to recent research from Yerevan, Armenia, "The Ising model
in two dimensions with the special boundary conditions of Brascamp and
Kunz (BK) is analyzed. We derive exact finite-size corrections for the
free energy F of the critical ferromagnetic Ising model on the M x N
square lattice with Brascamp-Kunz boundary conditions [Hi. Brascamp,
H. Kunz, J. Math. Phys. 15 (1974) 66]."
"We show that finite-size corrections strongly depend not only on the
boundary conditions but also on the shape and pattern of the lattice.
In the limit N → infinity we obtain the expansion of the free
energy and the inverse correlation lengths for infinitely long strip
with BK boundary conditions," wrote N.S. Izmailian and colleagues.
The researchers concluded: "Our results are consistent with the
conformal field theory prediction for the mixed boundary conditions."
Izmailian and colleagues published their study in Nuclear Physics B
(Finite-size corrections in the Ising model with special boundary
conditions. Nuclear Physics B, 2010;839(3):446-465).
For additional information, contact N.S. Izmailian, Yerevan Physics
Institute, Alikhanian Br 2, Yerevan 375036, Armenia.
Publisher contact information for the journal Nuclear Physics B is:
Elsevier Science BV, PO Box 211, 1000 AE Amsterdam, Netherlands.
From: A. Papazian
Physics Week
November 9, 2010
According to recent research from Yerevan, Armenia, "The Ising model
in two dimensions with the special boundary conditions of Brascamp and
Kunz (BK) is analyzed. We derive exact finite-size corrections for the
free energy F of the critical ferromagnetic Ising model on the M x N
square lattice with Brascamp-Kunz boundary conditions [Hi. Brascamp,
H. Kunz, J. Math. Phys. 15 (1974) 66]."
"We show that finite-size corrections strongly depend not only on the
boundary conditions but also on the shape and pattern of the lattice.
In the limit N → infinity we obtain the expansion of the free
energy and the inverse correlation lengths for infinitely long strip
with BK boundary conditions," wrote N.S. Izmailian and colleagues.
The researchers concluded: "Our results are consistent with the
conformal field theory prediction for the mixed boundary conditions."
Izmailian and colleagues published their study in Nuclear Physics B
(Finite-size corrections in the Ising model with special boundary
conditions. Nuclear Physics B, 2010;839(3):446-465).
For additional information, contact N.S. Izmailian, Yerevan Physics
Institute, Alikhanian Br 2, Yerevan 375036, Armenia.
Publisher contact information for the journal Nuclear Physics B is:
Elsevier Science BV, PO Box 211, 1000 AE Amsterdam, Netherlands.
From: A. Papazian