Diffusion in multiscale spacetimes

We study diffusion processes in anomalous spacetimes regarded as models of quantum geometry. Several types of diffusion equation and their solutions are presented and the associated stochastic processes are identified. These results are partly based on the literature in probability and percolation theory but their physical interpretation here is different since they apply to quantum spacetime itself. The case of multiscale (in particular, multifractal) spacetimes is then considered through a number of examples and the most general spectral-dimension profile of multifractional spaces is constructed.Comment: 23 pages, 5 figures. v2: discussion improved, typos corrected, references adde

Spatially fractional-order viscoelasticity, non-locality and a new kind of anisotropy

Spatial non-locality of space-fractional viscoelastic equations of motion is studied. Relaxation effects are accounted for by replacing second-order time derivatives by lower-order fractional derivatives and their generalizations. It is shown that space-fractional equations of motion of an order strictly less than 2 allow for a new kind anisotropy, associated with angular dependence of non-local interactions between stress and strain at different material points. Constitutive equations of such viscoelastic media are determined. Explicit fundamental solutions of the Cauchy problem are constructed for some cases isotropic and anisotropic non-locality

Consumptive Use and Water Requirements for Utah

Foreword: Studies on the meteorological determinants of evapotranspiration were initiated at least as long ago as the 1920s and by the late 1940s had produced the Blaney-Criddle method for estimating crop consumptive use. The resulting ability to estimate water requirements by both location and crop added a new scientific dimension to water rights administration that was first introduced into the courts of Utah during adjudication of water rights in the Escalante Valley in 1949. Application of the consumptive use concept to water rights administration and water resources planning, however, required a wirtten reference. Technical Publication No. 8 entitled Consumptive Use of Water and Irrigation Requirements of Crops in Utah was published by the State Engineer in 1952. By 1962, methods had been developed for going beyond agriculture to estimate water requirements for municipal, industrial, and recreational uses. Technical Publication No. 8 was revised and published under the title Consumptive Use and Water Requirements for Utah. Continuing advancements in water requirements estimation have occurred over the last 20 years. The present revision, Technical Publication No. 75, updates estimatino of agricultural, municipal, recreational, and industrial water uses. It presents an isogram of potential consumptive use that permits the determination of crop water requirements at any point within the state

Retarding Sub- and Accelerating Super-Diffusion Governed by Distributed Order Fractional Diffusion Equations

We propose diffusion-like equations with time and space fractional derivatives of the distributed order for the kinetic description of anomalous diffusion and relaxation phenomena, whose diffusion exponent varies with time and which, correspondingly, can not be viewed as self-affine random processes possessing a unique Hurst exponent. We prove the positivity of the solutions of the proposed equations and establish the relation to the Continuous Time Random Walk theory. We show that the distributed order time fractional diffusion equation describes the sub-diffusion random process which is subordinated to the Wiener process and whose diffusion exponent diminishes in time (retarding sub-diffusion) leading to superslow diffusion, for which the square displacement grows logarithmically in time. We also demonstrate that the distributed order space fractional diffusion equation describes super-diffusion phenomena when the diffusion exponent grows in time (accelerating super-diffusion).Comment: 11 pages, LaTe

Woman and management: a conceptual review, with a focus on Muslim Women in management roles in Western and in Muslim-Majority countries

We consider the roles of Muslim women managers, executives and professionals in three ways: as women qua women; as women of the Muslim diaspora in Western countries; and as women in Muslim Majority Cultures (MMCs). In reviewing the literature on the “glass ceiling” which prevents women achieving parity with men in middle and senior management roles, we are impressed by the work of Helgeson and Johnson on the special qualities of women in management roles, and compare their social psychological model with accounts of “strong” Muslim women who, drawing on Islamic traditions have performed many leadership roles outside of the traditional family. Nevertheless, it is Muslim women’s strength as strong family managers, with men being supporters rather than leaders of such family roles, which we generalise in describing an ideal model of a Muslim women manager. We draw too on traditional Islamic models in describing the kind of capitalist enterprise which may thrive in MMCs, and in which women will play leading roles. Nevertheless, we observe that in many MMCs non-Muslim (but strong) traditions of patriarchy often prevail, and subvert women’s search for higher education and leadership roles

Personality, work-life balance, hardiness, and vocation: a typology of nurses and nursing values in a special sample of English hospital nurses

This initial report of a longitudinal study of 192 English hospital nurses measured Nursing Values (the 6Cs of nursing); Personality, Self-Esteem and Depression; Burnout Potential; Work-Life Balance Stress; “Hardy Personality”; and Intention to Leave Nursing. Correlational, component, and cluster analysis identified four groups: “The Soldiers” (N = 79), with medium scores on most measures, who bravely “soldier on” in their nursing roles, in the face of numerous financial cuts to the National Health Service, and worsening nurse–patient ratios; “Cheerful Professionals” (N = 54), copingsuccessfullywithnursingroles,andavarietyofchallenges,inupwardlymobilecareers;“High Achievers” (N = 39), senior nurses with strong profiles of a “hardy personality”, and commitment to fundamental nursing values; and “Highly Stressed, Potential Leavers” (N = 20), with indicators of significant psychological distress, and difficulty in coping with nursing role challenges. We have initiated a program of co-counselling and social support for this distressed group, by nurses who are coping more successfully with multiple challenges. We discuss the role of nurse educators in fostering nursing values, developing and supporting a “hardy personality” and emotional resilience in recruits to nursing

Deception and self-awareness

This paper presents a study conducted for the Shades of Grey EPSRC research project (EP/H02302X/1), which aims to develop a suite of interventions for identifying terrorist activities. The study investigated the body movements demonstrated by participants while waiting to be interviewed, in one of two conditions: preparing to lie or preparing to tell the truth. The effect of self-awareness was also investigated, with half of the participants sitting in front of a full length mirror during the waiting period. The other half faced a blank wall. A significant interaction was found for the duration of hand/arm movements between the deception and self-awareness conditions (F=4.335, df=1;76, p<0.05). Without a mirror, participants expecting to lie spent less time moving their hands than those expecting to tell the truth; the opposite was seen in the presence of a mirror. This finding indicates a new research area worth further investigation

Low-cost automated vectors and modular environmental sensors for plant phenotyping

© 2020 by the authors. Licensee MDPI, Basel, Switzerland. High-throughput plant phenotyping in controlled environments (growth chambers and glasshouses) is often delivered via large, expensive installations, leading to limited access and the increased relevance of “affordable phenotyping” solutions. We present two robot vectors for automated plant phenotyping under controlled conditions. Using 3D-printed components and readily-available hardware and electronic components, these designs are inexpensive, flexible and easily modified to multiple tasks. We present a design for a thermal imaging robot for high-precision time-lapse imaging of canopies and a Plate Imager for high-throughput phenotyping of roots and shoots of plants grown on media plates. Phenotyping in controlled conditions requires multi-position spatial and temporal monitoring of environmental conditions. We also present a low-cost sensor platform for environmental monitoring based on inexpensive sensors, microcontrollers and internet-of-things (IoT) protocols