618 research outputs found
Bulk, surface and corner free energy series for the chromatic polynomial on the square and triangular lattices
We present an efficient algorithm for computing the partition function of the
q-colouring problem (chromatic polynomial) on regular two-dimensional lattice
strips. Our construction involves writing the transfer matrix as a product of
sparse matrices, each of dimension ~ 3^m, where m is the number of lattice
spacings across the strip. As a specific application, we obtain the large-q
series of the bulk, surface and corner free energies of the chromatic
polynomial. This extends the existing series for the square lattice by 32
terms, to order q^{-79}. On the triangular lattice, we verify Baxter's
analytical expression for the bulk free energy (to order q^{-40}), and we are
able to conjecture exact product formulae for the surface and corner free
energies.Comment: 17 pages. Version 2: added 4 further term to the serie
Series studies of the Potts model. I: The simple cubic Ising model
The finite lattice method of series expansion is generalised to the -state
Potts model on the simple cubic lattice.
It is found that the computational effort grows exponentially with the square
of the number of series terms obtained, unlike two-dimensional lattices where
the computational requirements grow exponentially with the number of terms. For
the Ising () case we have extended low-temperature series for the
partition functions, magnetisation and zero-field susceptibility to
from . The high-temperature series for the zero-field partition
function is extended from to . Subsequent analysis gives
critical exponents in agreement with those from field theory.Comment: submitted to J. Phys. A: Math. Gen. Uses preprint.sty: included. 24
page
Evaluation of the ESBL-coding plasmids transmissibility in E. coli isolated from ambulatory patient's urina
Representatives of the Enterobacteriaceae family are the main causative agents of urinary tract infections. Escherichia coli can exhibit resistance to [beta] -lactam antibiotics by synthesizing ESBL (extended spectrum [beta]-lactamases). CTX-M [beta] -lactamases are the dominant group of ESBL. In this paper, we investigated the ability of E. coli urinary isolates to transmit resistance genes within the plasmid. An analysis of the effectiveness of conjugation has shown that E. coli strains producing ESBL are capable of transferring resistance genes to a recipient bacterium at a high frequency
Resolving the molecular architecture of the photoreceptor active zone with 3D-MINFLUX
Cells assemble macromolecular complexes into scaffoldings that serve as substrates for catalytic processes. Years of molecular neurobiology research indicate that neurotransmission depends on such optimization strategies. However, the molecular topography of the presynaptic active zone (AZ), where transmitter is released upon synaptic vesicle (SV) fusion, remains to be visualized. Therefore, we implemented MINFLUX optical nanoscopy to resolve the AZ of rod photoreceptors. This was facilitated by a novel sample immobilization technique that we name heat-assisted rapid dehydration (HARD), wherein a thin layer of rod synaptic terminals (spherules) was transferred onto glass coverslips from fresh retinal slices. Rod ribbon AZs were readily immunolabeled and imaged in 3D with a precision of a few nanometers. Our 3D-MINFLUX results indicate that the SV release site in rods is a molecular complex of bassoon–RIM2–ubMunc13-2–Cav1.4, which repeats longitudinally on both sides of the ribbon
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
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
Zeros of the Partition Function for Higher--Spin 2D Ising Models
We present calculations of the complex-temperature zeros of the partition
functions for 2D Ising models on the square lattice with spin , 3/2, and
2. These give insight into complex-temperature phase diagrams of these models
in the thermodynamic limit. Support is adduced for a conjecture that all
divergences of the magnetisation occur at endpoints of arcs of zeros protruding
into the FM phase. We conjecture that there are such arcs for , where denotes the integral part of .Comment: 8 pages, latex, 3 uuencoded figure
Cellulose hydrolysis-hydrogenolysis to ethyleneglycol and propyleneglycol over Ru and heteropolyacid catalysts
Еthylene and propylene glycols (EG and PG) are widely used in industry to produce cooling systems and other valuable chemical products. But PG is non-toxic, therefore it is used in industries where EG can not be used: pharmaceutical, food, etc. This polyols produced by "one-pot" method, which is one of the promising and effective methods for producing alcohols from cellulose under harsh conditions. The purpose of this study was to determine the optimal composition of the solid bifunctional catalyst and the conditions of its preparation for the hydrolysis-hydrogenolysis of cellulose. Catalists are Ru-HPA/ZrO[2], RuHPA/Nb[2]O[5] and Ru/CsHPK. As a result of the study, the most promising catalyst system is 1%Ru/Cs[3.5]H[0.5]SiW[12]O[40]. In the presence of 1%Ru/CsHPA, the yield of 25% EG and 11% PG was detected (EG and PG selectivity is 60 and 27%). The activity of the catalysts was studied in the presence of Ca(OH)[2]
Low Temperature Expansions for Potts Models
On simple cubic lattices, we compute low temperature series expansions for
the energy, magnetization and susceptibility of the three-state Potts model in
D=2 and D=3 to 45 and 39 excited bonds respectively, and the eight-state Potts
model in D=2 to 25 excited bonds. We use a recursive procedure which enumerates
states explicitly. We analyze the series using Dlog Pade analysis and
inhomogeneous differential approximants.Comment: (17 pages + 8 figures
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