Determination of sample temperature and temperature stability with 129Xe NMR

The (129)Xe chemical shift of xenon dissolved in isotropic liquids is very sensitive to solvent density, which in turn is dependent on the sample temperature. Therefore, the (129)Xe chemical shift can be used as the basis of a thermometer for measuring actual sample temperatures in NMR experiments. Good accuracy can be achieved, but the thermometer is particularly useful in monitoring temperature stability. In the present case, carbon tetrachloride (CCl(4)), ethylbromide (C(2)H(5)Br), and deuterated chloroform (CDCl(3)) were chosen as solvents because of their large thermal expansion coefficient.     

Comparison of methods for detecting nondeterministic BOLD fluctuation in fMRI

Functional MR imaging (fMRI) has been used in detecting neuronal activation and intrinsic blood flow fluctuations in the brain cortex. This article is aimed for comparing the methods for analyzing the nondeterministic flow fluctuations. Fast Fourier Transformation (FFT), cross correlation (CC), spatial principal component analysis (sPCA), and independent component analysis (sICA) were compared. 15 subjects were imaged at 1.5 T. Three quantitative measures were compared: (1) The number of subjects with identifiable fluctuation, (2) the volume, and (3) mean correlation coefficient (MCC) of the detected voxels. The focusing on cortical structures and the overall usability were qualitatively assessed. sICA was spatially most accurate but time consuming, robust, and detected voxels with high temporal synchrony. The CC and FFT were fast suiting primary screening. The CC detected highest temporal synchrony but the subjective detection for reference vector produced excess variance of the detected volumes. The FFT and sPCA were not spatially accurate and did not detect adequate temporal synchrony of the voxels.     

Optimal Stopping with Information Constraint

We present a discrete n-person model of a dynamic strategic market game. We show that for some values of the discount factor the game possesses a stationary equilibrium where all the players make high bids. Within the class of all the high-bidding strategies we distinguish between two classes of more and less aggressive ones. We show that the set of discount factors for which these more aggressive strategies form equilibria shrinks as n goes to infinity. On the other hand, the analogous set for the less aggressive strategies grows to the whole interval (0,1) as n grows to infinity. Further we analyze the properties of the value function corresponding to these high-bidding equilibria. We also give some numerical examples contradicting some other properties that seem intuitive.     

Preparation and properties of cellulose/PE-co-AA blends

Cellulose/polyethylene-co-acrylic acid blends (cellulose concentration 0–50 wt.%) was prepared via mixing their alkaline solutions. The formed suspension was precipitated and dried, where after the morphology as well the thermal and mechanical properties of the blends were characterized by Differential Scanning Calorimetry (DSC), Scanning Electron Microscopy (SEM), and Dynamic Mechanical Analyses (DMA). In addition, the melt properties of the blend were studied by rotational rheometer following some injection molding trials as well. The polymers were found to be dispersed homogenously in the blend and the crystallization temperature of the PE-co-AA phase was increased ～6 °C due to the nucleation ability of the cellulose phase. The size of the discontinuous cellulose phase was 5 μm at the most while at higher cellulose concentrations (30–50 wt.%) the polymers formed co-continuous morphology in the blend. This change in the morphology was observed also in their melt properties which showed that the blend reached so called percolation point at ～20 wt.% of cellulose. Finally, the blends were found to be injection moldable over the whole composition range, if only the injection molding became more challenging (i.e. higher mold temperatures and longer mold cooling times were required) after the percholation point.     

Optimal stopping with random exercise lag

We study optimal stopping with exponentially distributed exercise lag. We formalize the problem first in a general Markovian setting and derive a set of conditions under which the solution exists. In particular, no semicontinuity assumptions of the payoff function are needed. We analyze also some specific classes of lagged optimal stopping problems with one-dimensional diffusion dynamics where the solution can be characterized in closed form. Finally, the results are illustrated with an explicit example.     

Cluster-embedding method to simulate large cluster and surface problems

In order to describe processes which are localized on a surface or inside the bulk of a solid, molecular calculations of an inner cluster may be adequate as long as the effect of the outer environment is taken into account via an embedding-method. Using a relativistic density functional method for the self-consistent cluster calculation we have developed a new cluster-embedding scheme here. As an example we have studied the adsorption of Al on an Al(100) surface and we get significant agreement with different methods. This indicates that this embedding-method is reliable enough to simulate an unlimited solid. Received 29 November 2000     

Pinning of cracks in two-dimensional disordered media

We study the statistics of crack pinning in two dimensions by experiments and simulations of directed polymers in random media. Mode I tensile tests on paper samples show a delocalization phenomenon as the notch length is varied if the fraction of cracks pinned to the notch is monitored. This is compared with the behavior of directed polymers in the presence of both an energetically favorable localized pinning center and bulk disorder. An analysis of the crack interface roughness indicates self-affine behavior with a roughness exponent ζ in the proximity of the minimum energy surface value 2/3. Received 4 April 2000 and Received in final form 10 October 2000