Spin-1 Kitaev model in one dimension

We study a one-dimensional version of the Kitaev model on a ring of size N, in which there is a spin S > 1/2 on each site and the Hamiltonian is J Sigma(nSnSn+1y)-S-x. The cases where S is integer and half-odd integer are qualitatively different. We show that there is a Z(2)-valued conserved quantity W-n for each bond (n, n + 1) of the system. For integer S, the Hilbert space can be decomposed into 2N sectors, of unequal sizes. The number of states in most of the sectors grows as d(N), where d depends on the sector. The largest sector contains the ground state, and for this sector, for S=1, d=(root 5+1)/2. We carry out exact diagonalization for small systems. The extrapolation of our results to large N indicates that the energy gap remains finite in this limit. In the ground-state sector, the system can be mapped to a spin-1/2 model. We develop variational wave functions to study the lowest energy states in the ground state and other sectors. The first excited state of the system is the lowest energy state of a different sector and we estimate its excitation energy. We consider a more general Hamiltonian, adding a term lambda Sigma W-n(n), and show that this has gapless excitations in the range lambda(c)(1)<=lambda <=lambda(c)(2). We use the variational wave functions to study how the ground-state energy and the defect density vary near the two critical points lambda(c)(1) and lambda(c)(2).

A Vicarious One-Pot Transformation of a Fluorocyclitol to a Polycyclitol: Observation of a Formal 4-Fold Axial-Equatorial Epimerization on a Conformationally Locked Scaffold

A conformationally locked fluoropentol undergoes an interesting transformation to (trans,anti,trans,anti,trans)-perhydro-2,3,4a,6,7,8a-naphthalenehexol essentially under conditions of base-induced transesterification. The proposed rationale for the observed metamorphosis involves a nucleophilic displacement of fluoride, and subsequent stereo- and regioselective anti-Furst-Plattner-type ring-opening of the epoxide thus formed.

Effect of a specific estrogen antibody on pregnancy establishment in the bonnet monkey (Macaca radiata)

The requirement for estrogen for pregnancy establishment has not been conclusively demonstrated in primates. Selective neutralization of estrogens was achieved in mated female monkeys during preimplantation and postimplantation periods by injecting characterized estrogen antiserum from either day 14 to 18 or day 28 to 32 of cycle. While estrogen deprivation during preimplantation period in 5 animals exposed to 14 ovulatory cycles resulted in only one pregnancy, only 3 of 13 monkeys treated during postimplantation period continued pregnancy to term. In comparison with controls (4 of 5 monkeys becoming pregnant), the percent protection against pregnancy in animals treated during preimplantation period was 93. The pregnancy termination in 10 of 13 monkeys treated during postimplantation period when compared with normal postimplantation pregnancy wastage in our colony (2%) is also highly significant (P less than 0.01). The present study demonstrates a critical need for estrogen during the peri-implantation period for a successful pregnancy establishment in primates.

Covalent attachment of two important dicopper(II) systems in a one-dimensional polymeric chain: An x-ray structure of [Cu2(en)2(OH)2·Cu2(O2CMe)4](PF6)2·0.5EtOH]α showing the shortest Cucdots, three dots, centeredCu Distance in the tetraacetato core

Reaction of Cu2(O2CMe)4(H2O)2 with 1,2-diaminoethane(en) in ethanol, followed by the addition of NH4PF6, led to the formation of a covalently linked 1D polymeric copper(II) title complex showing alternating [Cu2(en)2(OH)22+] and [Cu2(O2CMe)4] units in the chain and the shortest Cucdots, three dots, centeredCu separation of 2.558(2) Å in the tetraacetato core.

Kielellinen erityisvaikeus : oirekuva ja familiaalisuus potilasasiakirjojen perusteella

Goals. Specific language impairment (SLI) has a negative impact on child s speech and language development and interaction. Disorder may be associated with a wide range of comorbid problems. In clinical speech therapy it is important to see the child as a whole so that the rehabilitation can be targeted properly. The aim of this study was to describe the linguistic-cognitive and comorbid symptoms of children with SLI at the age of five, as well as to provide an overwiew of the developmental disorders in the families. The study is part of a larger research project, which will examine paths of development and quality of life of children with SLI as young adults. Methods. The data consisted of patient documents of 100 5-year old children, who were examined in Lastenlinna mainly at 1998. Majority of the subjects were boys, and children s primary diagnosis was either F80.1 or F80.2, which was most common, or both. The diagnosis and the information about the linguistic-cognitive status and comorbid symptoms were collected from reports of medical doctors and experts of other fields, as well as mentions related to familiality. Linguistic-cognitive symptoms were divided into subclasses of speech motor functions, prosessing of language, comprehension of language and use of language. Comorbid symptoms were divided into subclasses of interaction, activity and attention, emotional and behavior problems and neurologic problems. Statistical analyses were based mainly on Pearson s Chi Square test. Results and conclusions. Problems in language processing and speech motor functions were most common of the linguistic-cognitive symptoms. Most of the children had symptoms from two or three symptom classes, and it seemed that girls had more symptoms than boys. Usually children did not have any comorbid symptoms, or had them from one or three symptom classes. Of the comorbid symptoms the most prevalent ones were problems in activity and attention and neurological symptoms, which consisted mostly of motoric and visuomotoric symptoms. The most common of the comorbid diagnoses was F82, specific developmental disorder of motor function. According to literature children with SLI may have problems in mental health, but the results of this study did not confirm that. Children with diagnosis F80.2 had more linguistic-cognitive and comorbid symptoms than children with diagnosis F80.1. The cluster analyses based on all the symtoms revealed four subgroups of the subjects. Of the subjects 85 percent had a positive family history of developmental disorders, and the most prevalent problem in the families was delayed speech development. This study outlined the symptom profile of children with SLI and laid a foundation for the future longitudinal study. The results suggested that there are differences between linguistic-cognitive symptoms of boys and girls, which is important to notice especially when assessing and diagnosing children with SLI.

One pot synthesis of polycyclic oxygen aromatics. Part IV reaction of THP ether of 2-bromomethyl phenols

Reaction of 2-bromomethyl-1-(2′-tetrahydropyranyloxy) benzene 3a with tetrachlorocatechol(TCC) in acetone in presence of anhydrous K2CO3 resulted in the formation of diastereomeric products to which cis- & trans- 6-chloro-8-hydroxy-8-(2-oxopropyl)spiro[9H-benzo[a]xanthen- 9,2′(1′H) benzofuran]-7(8H)-one (7a & 8a) structures were assigned, along with tetrachlorocatechol ethers (5a & 6a). Similar reaction of 3a with tetrabromocatechol(TBC) gave the expected monobromo compounds 7d & 8d along with the ethers 5d & 6d. When the reaction was repeated with substrates 3b–c with TCC/TBC in ketonic solvents(acetone/methyl ethyl ketone), the corresponding compounds 5b–c to 8b–c, 5e–f to 6e–f, 7e–g & 8e–h were obtained. A suitable explanation has been given for the formation of acetonyl compound 6 in this reaction.

Random sequential multilayer deposition of different‐sized k mers on a one dimensional infinite substrate

Kinetics of random sequential, irreversible multilayer deposition of macromolecules of two different sizes on a one dimensional infinite lattice is analyzed at the mean field level. A formal solution for the corresponding rate equation is obtained. The Jamming limits and the distribution of gaps of exact sizes are discussed. In the absence of screening, the jamming limits are shown to be the same for all the layers. A detailed analysis for the components differing by one monomer unit is presented. The small and large time behaviors and the dependence of the individual jamming limits of the k mers and (k−1) mers on k and the rate parameters are analyzed.

Periglasiaalisten ilmiöiden alueellinen mallintaminen subarktisessa ympäristössä

Periglacial processes act on cold, non-glacial regions where the landscape deveploment is mainly controlled by frost activity. Circa 25 percent of Earth's surface can be considered as periglacial. Geographical Information System combined with advanced statistical modeling methods, provides an efficient tool and new theoretical perspective for study of cold environments. The aim of this study was to: 1) model and predict the abundance of periglacial phenomena in subarctic environment with statistical modeling, 2) investigate the most import factors affecting the occurence of these phenomena with hierarchical partitioning, 3) compare two widely used statistical modeling methods: Generalized Linear Models and Generalized Additive Models, 4) study modeling resolution's effect on prediction and 5) study how spatially continous prediction can be obtained from point data. The observational data of this study consist of 369 points that were collected during the summers of 2009 and 2010 at the study area in Kilpisjärvi northern Lapland. The periglacial phenomena of interest were cryoturbations, slope processes, weathering, deflation, nivation and fluvial processes. The features were modeled using Generalized Linear Models (GLM) and Generalized Additive Models (GAM) based on Poisson-errors. The abundance of periglacial features were predicted based on these models to a spatial grid with a resolution of one hectare. The most important environmental factors were examined with hierarchical partitioning. The effect of modeling resolution was investigated with in a small independent study area with a spatial resolution of 0,01 hectare. The models explained 45-70 % of the occurence of periglacial phenomena. When spatial variables were added to the models the amount of explained deviance was considerably higher, which signalled a geographical trend structure. The ability of the models to predict periglacial phenomena were assessed with independent evaluation data. Spearman's correlation varied 0,258 - 0,754 between the observed and predicted values. Based on explained deviance, and the results of hierarchical partitioning, the most important environmental variables were mean altitude, vegetation and mean slope angle. The effect of modeling resolution was clear, too coarse resolution caused a loss of information, while finer resolution brought out more localized variation. The models ability to explain and predict periglacial phenomena in the study area were mostly good and moderate respectively. Differences between modeling methods were small, although the explained deviance was higher with GLM-models than GAMs. In turn, GAMs produced more realistic spatial predictions. The single most important environmental variable controlling the occurence of periglacial phenomena was mean altitude, which had strong correlations with many other explanatory variables. The ongoing global warming will have great impact especially in cold environments on high latitudes, and for this reason, an important research topic in the near future will be the response of periglacial environments to a warming climate.

Barrier crossing in one and three dimensions by a long chain

We consider the Kramers problem for a long chain polymer trapped in a biased double-well potential. Initially the polymer is in the less stable well and it can escape from this well to the other well by the motion of its N beads across the barrier to attain the configuration having lower free energy. In one dimension we simulate the crossing and show that the results are in agreement with the kink mechanism suggested earlier. In three dimensions, it has not been possible to get an analytical `kink solution' for an arbitrary potential; however, one can assume the form of the solution of the nonlinear equation as a kink solution and then find a double-well potential in three dimensions. To verify the kink mechanism, simulations of the dynamics of a discrete Rouse polymer model in a double well in three dimensions are carried out. We find that the time of crossing is proportional to the chain length, which is in agreement with the results for the kink mechanism. The shape of the kink solution is also in agreement with the analytical solution in both one and three dimensions.

Bridgehead substitution of 1-methoxybicyclo[2.2.2]oct 5-en-2-one derivatives: towards the synthesis of (±)-allo-cedrol [khusiol]1

Preparation of the key intermediates, 11 and 21, required for the synthesis of (+/-)-allo-cedrol (khusiol) is reported by a novel methodology involving the substitution at the bridgehead position of 1-methoxybicyclo[2.2.2]oct-5-en-2-one derivatives

Can one electrochemically measure the statistical morphology of a rough electrode

We have developed a theory for an electrochemical way of measuring the statistical properties of a nonfractally rough electrode. We obtained the expression for the current transient on a rough electrode which shows three times regions: short and long time limits and the transition region between them. The expressions for these time ranges are exploited to extract morphological information about the surface roughness. In the short and long time regimes, we extract information regarding various morphological features like the roughness factor, average roughness, curvature, correlation length, dimensionality of roughness, and polynomial approximation for the correlation function. The formulas for the surface structure factors (the measure of surface roughness) of rough surfaces in terms of measured reversible and diffusion-limited current transients are also obtained. Finally, we explore the feasibility of making such measurements.

Chiral Synthons from Carvone. Part 10. Synthesis of (+)-(1S,3S,4S,7S, 8R)-5,7-Dimethyl-10-oxatetracyclo-(5.3.0.03,5,04,8)decan-9-one.

Degradation of the tolyl group in the tricyclic ketone 1b followed by stereospecific reduction of the resultant ketoester (6) furnishes the title compound (4) containing a new tetracyclic framework, establishing the stereochemistry of the aryl group in 1.

Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction

We present the exact solution to a one-dimensional multicomponent quantum lattice model interacting by an exchange operator which falls off as the inverse sinh square of the distance. This interaction contains a variable range as a parameter and can thus interpolate between the known solutions for the nearest-neighbor chain and the inverse-square chain. The energy, susceptibility, charge stiffness, and the dispersion relations for low-lying excitations are explicitly calculated for the absolute ground state, as a function of both the range of the interaction and the number of species of fermions.