Transition in the waiting-time distribution of price-change events in a global socioeconomic system

The goal of developing a firmer theoretical understanding of inhomogeneous temporal processes–in particular, the waiting times in some collective dynamical system–is attracting significant interest among physicists. Quantifying the deviations between the waiting-time distribution and the distribution generated by a random process may help unravel the feedback mechanisms that drive the underlying dynamics. We analyze the waiting-time distributions of high-frequency foreign exchange data for the best executable bid–ask prices across all major currencies. We find that the lognormal distribution yields a good overall fit for the waiting-time distribution between currency rate changes if both short and long waiting times are included. If we restrict our study to long waiting times, each currency pair’s distribution is consistent with a power-law tail with exponent near to 3.5. However, for short waiting times, the overall distribution resembles one generated by an archetypal complex systems model in which boundedly rational agents compete for limited resources. Our findings suggest that a gradual transition arises in trading behavior between a fast regime in which traders act in a boundedly rational way and a slower one in which traders’ decisions are driven by generic feedback mechanisms across multiple timescales and hence produce similar power-law tails irrespective of currency type.     

Self‐association of cellulose ethers with random and regioselective distribution of substitution

2 to 4% aqueous solutions of regioselectively substituted 3‐mono‐O‐ethyl‐ ( 3‐EC ) and randomly substituted ethyl‐ ( EC ) cellulose show association and gelation above 50–60 and 20–30 °C, respectively. In contrast, almost no association or gelation was seen with regioselectively substituted 3‐mono‐O‐methoxyethyl cellulose ( 3‐MEC ). This could be assessed by eye and measured using the techniques of ¹H high‐resolution nuclear magnetic resonance, oscillatory rheology, and micro‐differential scanning calorimetry (DSC). Several processes are thought to occur during association and gelation of EC and 3‐EC . These were separated with respect to temperature, to varying degrees, on cooling and have been modeled using DSC data. In accordance with other work in the literature, they are thought to be, on heating, the disassociation of structures in solution followed first by the formation of water cages and then by the association of hydrophobic moieties into a precipitate or gel. Contrasting with previous work (Haque and Morris, Carbohydr Polym 1993, 22, 161–173), the rheological measurements do not show “two distinct waves of structure formation” at the present concentrations and the DSC measurements show, on cooling, an extremely wide separation in temperature of the processes for the regioselectively substituted cellulose derivative 3‐EC . © 2009 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 47: 1743–1752, 2009     

Mass spectrometric implications of high-pressure ion sources

The nature of supersonic free jet expansion of a gas from high pressure into vacuum is reviewed and characterized in this article. The increasingly widespread applications and implications of this jet expansion process in mass spectrometry are described. Particular attention is paid to prospective advantages and possible problems when such jets are used to transport ions from a source at high pressure into the vacuum environment of a mass analyzer.     

In electrospray ionization, how much pull does an ion need to escape its droplet prison?

This article assumes that (1) that solute ions from a charged droplet are formed by field-assisted desorption, (2) that the charges on such a droplet are equidistantly spaced in a uniform array on the droplet surface, and (3) that the distance between charges on an evaporated ion cannot be less than the distance between charges on the droplet surface when that ion desorbed. These assumptions, together with mass spectral data for poly(ethylene glycols) and available information on the structure of their electrospray ions, allow us to determine that intercharge distance and thus the magnitude of the droplet surface field when those ions desorbed. Values of this desorption field for methanol-water droplets are 2.66, 1.55, and 1.46 V/nm for the smallest oligomer ions having respectively 2, 3 and 6 charges (Na⁺).     

Determination of [(13)C]galactose enrichment in human plasma by gas chromatography/positive chemical ionization tandem mass spectrometry

Galactosemia is a potentially fatal disease resulting from a deficiency of galactose-1-phosphate uridyl transferase. In order to perform mechanistic studies designed to elucidate further the etiology of the disease, we required a method to monitor (13)C enrichment in plasma galactose following a single oral dose or intravenous infusion of [1-(13)C]galactose. Determinations of plasma [(13)C]galactose enrichment requires methodology with extremely high specificity because of potential interference from other low molecular mass plasma constituents and from glucose, an isomer which is present in much higher concentrations. We have developed a method based on gas chromatography/positive chemical ionization tandem mass spectrometry (GC/PCI-MS/MS) for the precise and accurate determination of plasma [(13)C]galactose enrichment. The method employed a pentaacetylaldononitrile derivative of galactose in order to improve its GC and MS characteristics. Peak areas resulting from the transitions m/z 328 --> 106 and m/z 329 --> 107 were used to quantify the relative abundance of labeled and unlabeled galactose. Validation of the method was performed by determination of the precision and accuracy over a wide range of galactose concentrations and (13)C enrichments. The GC/PCI-MS/MS method was able to determine accurately enrichments at galactose concentrations down to 0.8 microM in the presence of 4 mM glucose, making it both highly selective and the most sensitive method currently available.     

Electrochemical processes in electrospray ionization mass spectrometry

Editorial Comment Last month we presented, as a Special Feature, a set of five articles that constituted a Commentary on the fundamentals and mechanism of electrospray ionization (ESI). These articles produced some lively discussion among the authors on the role of electrochemistry in ESI. Six authors participated in a detailed exchange of views on this topic, the final results of which constitute this month's Special Feature. We particularly hope that younger scientists will find value in this month's Special Feature, not only for the science that it teaches but also what it reveals about the processes by which scientific conclusions are drawn. To a degree, the contributions part the curtains on these processes and show science in action. We sincerely thank the contributors to this discussion. The give and take of intellectual debate is not always easy, and to a remarkable extent this set of authors has maintained good humor and friendships, even when disagreeing strongly on substance. Graham Cooks and Richard Caprioli Copyright 2000 John Wiley & Sons, Ltd.     

Trunks and classifying spaces

Trunks are objects loosely analogous to categories. Like a category, a trunk has vertices and edges (analogous to objects and morphisms), but instead of composition (which can be regarded as given by preferred triangles of morphisms) it has preferred squares of edges. A trunk has a natural cubical nerve, analogous to the simplicial nerve of a category. The classifying space of the trunk is the realisation of this nerve. Trunks are important in the theory of racks [8]. A rackX gives rise to a trunkT (X) which has a single vertex and the setX as set of edges. Therack space BX ofX is the realisation of the nerveNT (X) ofT(X). The connection between the nerve of a trunk and the usual (cubical) nerve of a category determines in particular a natural mapBX BAs(X) whereBAs(X) is the classifying space of the associated group ofX. There is an extension to give a classifying space for an augmented rack, which has a natural map to the loop space of the Brown-Higgins classifying space of the associated crossed module [8, Section 2] and [3].The theory can be used to define invariants of knots and links since any invariant of the rack space of the fundamental rack of a knot or link is ipso facto an invariant of the knot or link.     

How does Europe Make Its Mind Up? Connections,cliques, and compatibility between countries in the Eurovision Song Contest

We investigate the complex relationships between countries in the Eurovision Song Contest, by recasting past voting data from 1992–2003 in terms of a dynamical network. Our analysis shows that the UK is remarkably compatible, or ‘in tune’, with other European countries during the period of study. Equally surprising is our finding that some other core countries, most notably France, are significantly ‘out of tune’ with the rest of Europe during the same period. In addition, our analysis enables us to confirm a widely-held belief that there are unofficial cliques of countries; however, these cliques are not always the expected ones, nor can their existence be explained solely on the grounds of geographical proximity. The complexity in this system emerges via the group ‘self-assessment’ process, and in the absence of any central controller. One might therefore speculate that such complexity is representative of many real-world situations in which groups of ‘agents’ establish their own inter-relationships and hence ultimately decide their own fate. Possible examples include groups of individuals, societies, political groups or even governments.     

Efficient design of multituned transmission line NMR probes: the electrical engineering approach

Transmission line-based multi-channel solid state NMR probes have many advantages regarding the cost of construction, number of RF-channels, and achievable RF-power levels. Nevertheless, these probes are only rarely employed in solid state-NMR-labs, mainly owing to the difficult experimental determination of the necessary RF-parameters. Here, the efficient design of multi-channel solid state MAS-NMR probes employing transmission line theory and modern techniques of electrical engineering is presented. As technical realization a five-channel ((1)H, (31)P, (13)C, (2)H and (15)N) probe for operation at 7 Tesla is described. This very cost efficient design goal is a multi port single coil transmission line probe based on the design developed by Schaefer and McKay. The electrical performance of the probe is determined by measuring of Scattering matrix parameters (S-parameters) in particular input/output ports. These parameters are compared to the calculated parameters of the design employing the S-matrix formalism. It is shown that the S-matrix formalism provides an excellent tool for examination of transmission line probes and thus the tool for a rational design of these probes. On the other hand, the resulting design provides excellent electrical performance. From a point of view of Nuclear Magnetic Resonance (NMR), calibration spectra of particular ports (channels) are of great importance. The estimation of the π/2 pulses length for all five NMR channels is presented.