300 research outputs found
Higher orders of the high-temperature expansion for the Ising model in three dimensions
The new algorithm of the finite lattice method is applied to generate the
high-temperature expansion series of the simple cubic Ising model to
for the free energy, to for the magnetic
susceptibility and to for the second moment correlation length.
The series are analyzed to give the precise value of the critical point and the
critical exponents of the model.Comment: Lattice2003(Higgs), 3 pages, 2 figure
Large-q expansion of the energy and magnetization cumulants for the two-dimensional q-state Potts model
We have calculated the large-q expansion for the energy cumulants and the
magnetization cumulants at the phase transition point in the two-dimensional
q-state Potts model to the 21st or 23rd order in using the finite
lattice method. The obtained series allow us to give very precise estimates of
the cumulants for on the first order transition point. The result
confirms us the correctness of the conjecture by Bhattacharya et al. on the
asymptotic behavior not only of the energy cumulants but also of the
magnetization cumulants for .Comment: 36 pages, LaTeX, 20 postscript figures, to appear in Nuclear Physics
Low-Temperature Series for Ising Model by Finite-Lattice Method
We have calculated the low-temperature series for the second moment of the
correlation function in Ising model to order and for the free
energy of Absolute Value Solid-on-Solid (ASOS) model to order , using
the finite-lattice method.Comment: 3pages, latex, no figures, talk given at LATTICE'94, to appear in the
proceeding
Specific heat and high-temperature series of lattice models: interpolation scheme and examples on quantum spin systems in one and two dimensions
We have developed a new method for evaluating the specific heat of lattice
spin systems. It is based on the knowledge of high-temperature series
expansions, the total entropy of the system and the low-temperature expected
behavior of the specific heat as well as the ground-state energy. By the choice
of an appropriate variable (entropy as a function of energy), a stable
interpolation scheme between low and high temperature is performed. Contrary to
previous methods, the constraint that the total entropy is log(2S+1) for a spin
S on each site is automatically satisfied. We present some applications to
quantum spin models on one- and two- dimensional lattices. Remarkably, in most
cases, a good accuracy is obtained down to zero temperature.Comment: 10 pages (RevTeX 4) including 11 eps figures. To appear in Phys. Rev.
Low temperature expansion for the 3-d Ising Model
We compute the weak coupling expansion for the energy of the three
dimensional Ising model through 48 excited bonds. We also compute the
magnetization through 40 excited bonds. This was achieved via a recursive
enumeration of states of fixed energy on a set of finite lattices. We use a
linear combination of lattices with a generalization of helical boundary
conditions to eliminate finite volume effects.Comment: 10 pages, IASSNS-HEP-92/42, BNL-4767
Low-Temperature Series for the Correlation Length in Ising Model
We extend low-temperature series for the second moment of the correlation
function in simple-cubic Ising model from to using
finite-lattice method, and combining with the series for the susceptibility we
obtain the low-temperature series for the second-moment correlation length to
. An analysis of the obtained series by inhomogeneous differential
approximants gives critical exponents and .Comment: 13 pages + 5 uuencoded epsf figures in Latex, OPCT-94-
Large- expansion of the specific heat for the two-dimensional -state Potts model
We have calculated the large- expansion for the specific heat at the phase
transition point in the two-dimensional -state Potts model to the 23rd order
in using the finite lattice method. The obtained series allows us
to give highly convergent estimates of the specific heat for on the first
order transition point. The result confirm us the correctness of the conjecture
by Bhattacharya et al. on the asymptotic behavior of the specific heat for .Comment: 7 pages, LaTeX, 2 postscript figure
Effects of early intracoronary streptokinase on infarct size estimated from cumulative enzyme release and on enzyme release rate: A randomized trial of 533 patients with acute myocardial infarction
The effects of early intracoronary streptokinase (SK) on enzymatic infarct size and rate of enzyme release were studied in a randomized multicenter trial. A total of 533 patients with acute myocardial infarction (AMI) were allocated to either the SK treatment group (n = 269) or the conventional (control) treatment group (n = 264). Enzymatic infarct size was represented by the cumulative quantity of alpha-hydroxybutyrate dehydrogenase (HBDH) released by the heart per liter of plasma in the first 72 hours. Rate of enzyme release was represented by the ratio of HBDH quantities released in 24 hours and 72 hours. On an "intention to treat" basis, the SK group had a smaller (by 30%; p = 0.0001) median enzymatic infarct size and a higher (by 35%; p = 0.0001) median rate of enzyme release than the control group. Limitation of infarct size was less apparent in patients tre
Series studies of the Potts model. II: Bulk series for the square lattice
The finite lattice method of series expansion has been used to extend
low-temperature series for the partition function, order parameter and
susceptibility of the -state Potts model to order (i.e. ),
, , , , , , and
for , 3, 4, \dots 9 and 10 respectively. These series are used
to test techniques designed to distinguish first-order transitions from
continuous transitions. New numerical values are also obtained for the
-state Potts model with .Comment: 32 pages, incl. 3 figures, incl. 3 figure
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