Ion and polymer dynamics in polymer electrolytes PPO-LiClO4: insights from NMR line-shape analysis

We investigate ion and polymer dynamics in polymer electrolytes PPO-LiClO4 performing 2H and 7Li NMR line-shape analysis. Comparison of temperature dependent 7Li and 2H NMR spectra gives evidence for a coupling of ion and polymer dynamics. 2H NMR spectra for various salt concentrations reveal a strong slow down of the polymer segmental motion when the salt content is increased. The 2H NMR line shape further indicates that the segmental motion is governed by dynamical heterogeneities. While the width of the distribution of correlation times G(log tau) is moderate for low and high salt content, an extremely broad distribution exists for an intermediate salt concentration 15:1 PPO-LiClO4. For the latter composition, a weighed superposition of two spectral components, reflecting the fast and the slow polymer segments of the distribution, describes the 2H NMR line shape over a broad temperature range. Analysis of the temperature dependent relative intensity of both spectral components indicates the existence of a continuous rather than a discontinuous distribution G(log tau). Such continuous distribution is consistent with gradual fluctuation of the local salt concentration and, hence, of the local environments of the polymer segments, whereas it is at variance with the existence of large salt-depleted and salt-rich domains featuring fast and slow polymer dynamics, respectively. Finally, for all studied mixtures PPO-LiClO4, the 2H NMR line shape strongly depends on the echo delay in the applied echo-pulse sequence, indicating that the structural relaxation of the polymer segments involves successive rotational jumps about small angles gamma<20 degree.Comment: 11 pages, 11 figure

Persistent inequality when learning requires a minimal standard of living

This paper studies the persistence of wealth and utility inequality in a dynamicmodel of skill acquisition with complete credit markets and rational, perfectly altruistic,dynastic utility-maximization, when efficient learning requires a minimal standardof living. The main result is that, if the minimal standard of living is not triviallysmall, at any stationary equilibrium without intergenerational mobility there are?poor?, unskilled and ?rich?, skilled dynasties. Members of rich dynasties inherit morefrom their parents than members of poor dynasties. The former in general acquireskill, while the latter remain unskilled, and - most importantly - members of rich familiesalso enjoy strictly higher utility than members of poor dynasties. This paper studies the persistence of wealth and utility inequality in a dynamicmodel of skill acquisition with complete credit markets and rational, perfectly altruistic,dynastic utility-maximization, when efficient learning requires a minimal standardof living. The main result is that, if the minimal standard of living is not triviallysmall, at any stationary equilibrium without intergenerational mobility there are?poor?, unskilled and ?rich?, skilled dynasties. Members of rich dynasties inherit morefrom their parents than members of poor dynasties. The former in general acquireskill, while the latter remain unskilled, and - most importantly - members of rich familiesalso enjoy strictly higher utility than members of poor dynasties

Linking numbers of measured foliations

We generalise the average asymptotic linking number of a pair of divergence-free vector fields on homology three-spheres by considering the linking of a divergence-free vector field on a manifold of arbitrary dimension with a codimension two foliation endowed with an invariant transverse measure. We prove that the average asymptotic linking number is given by an integral of Hopf type. Considering appropriate vector fields and measured foliations, we obtain an ergodic interpretation of the Godbillon-Vey invariant of a family of codimension one foliations discussed in math.GT/0111137.Comment: minor corrections, to appear in Ergodic Theory and Dynamical System

Multi-mode density matrices of light via amplitude and phase control

A new method is described for determining the quantum state of correlated multimode radiation by interfering the modes and measuring the statistics of the superimposed fields in four-port balanced homodyne detection. The full information on the $N$-mode quantum state is obtained by controlling both the relative amplitudes and the phases of the modes, which simplifies the reconstruction of density matrices to only $N+1$ Fourier transforms. In particular, this method yields time-correlated multimode density matrices of optical pulses by superimposing the signal by a sequence of short local-oscillator pulses.Comment: 6 pages, late

Employment, wage structure, and the economic cycle: differences between immigrants and natives in Germany and the UK

Differences in the cyclical pattern of employment and wages of immigrants relative to natives have largely gone unnoticed in the migration literature. In this paper we show that immigrants and natives react differently to the economic cycle. Based on over two decades of micro data, our investigation is for two of the largest immigrant receiving countries in Europe which at the same time are characterised by different immigrant populations as well as different economic cycles, Germany and the UK. Understanding the magnitude, nature and possible causes of differences in responses is relevant for assessing the economic performance of immigrant communities over time. We show that there are substantial differences in cyclical responses between immigrants and natives. Our analysis illustrates the magnitude of these differences, while distinguishing between different groups of immigrants. Differences in responses may be due to differences in the skill distribution between immigrant groups and natives, or differences in demand for immigrants and natives of the same skills due to differential allocation of immigrants and natives across industries and regions. We demonstrate that substantial differences in cyclical patterns remain, even within narrowly defined groups. Finally, we estimate a more structural factor type model that, using regional variation in economic conditions, separates responses to economic shocks from a secular trend and allows us to obtain a summary measure for these differences within education groups

Limit on T-violating P-conserving rhoNN interaction from the gamma decay of Fe-57

We use the experimental limit on the interference of M1 and E2 multipoles in the γ decay of 57Fe to bound the time-reversal-violating parity-conserving ρNN vertex. Our approach is a large-basis shell-model calculation of the interference. We find an upper limit on the parameter g¯ρ, the relative strength of the T-violating ρNN vertex, of close to 10^(-2), a value similar to the best limits from other experiments

RL10A-3-3B high mixture ratio qualification program

The results of the high mixture ratio qualification testing of the RL10 engine for the Shuttle/Centaur program are presented. The objective of the engine qualification test was to demonstrate the suitability of the RL10A-3-3B engine for space vehicle flight by subjecting it to the testing specified in RL10A-3-3B Model Specification Number 2295 dated February 1986. The applicable section of the specification is presented. Due to payload volume advantages which can be achieved by increasing the operating mixture ratio of the RL10, a decision was made to qualify the engine to run at a higher mixture ratio. A program was created to qualify the RL10 engine for operation at 15,000 pounds thrust and a nominal 6.0 to 1 mixture ratio. This model of the engine was designated the RL10A-3-3B. The qualification program included three test series as follows: (1) hardware durability and limits test in which the engine completed 23 firings and 4605.7 seconds with 1588.7 seconds at less than 6.6 mixture ratio; (2) preliminary qualification test in which the engine completed 26 firings and 5750 seconds; and (3) qualification test in which the engine completed 26 hot firings and 5693.4 seconds with 905.9 seconds at 6.7 mixture ratio. Several changes in engine hardware were required for operation of the RL10A-3-3B engine in the Space Shuttle which include a duel pressure switch ignition, an oxidizer flow control, and helium plumbing changes

Nonclassicality filters and quasiprobabilities

Necessary and sufficient conditions for the nonclassicality of bosonic quantum states are formulated by introducing nonclassicality filters and nonclassicality quasiprobability distributions. Regular quasiprobabilities are constructed from characteristic functions which can be directly sampled by balanced homodyne detection. Their negativities uncover the nonclassical effects of general quantum states. The method is illustrated by visualizing the nonclassical nature of a squeezed state.Comment: Significantly revised version, more emphasis on practical applicatio