13,030 research outputs found

    Source Galerkin Calculations in Scalar Field Theory

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    In this paper, we extend previous work on scalar ϕ4\phi^4 theory using the Source Galerkin method. This approach is based on finding solutions Z[J]Z[J] to the lattice functional equations for field theories in the presence of an external source JJ. Using polynomial expansions for the generating functional ZZ, we calculate propagators and mass-gaps for a number of systems. These calculations are straightforward to perform and are executed rapidly compared to Monte Carlo. The bulk of the computation involves a single matrix inversion. The use of polynomial expansions illustrates in a clear and simple way the ideas of the Source Galerkin method. But at the same time, this choice has serious limitations. Even after exploiting symmetries, the size of calculations become prohibitive except for small systems. The calculations in this paper were made on a workstation of modest power using a fourth order polynomial expansion for lattices of size 828^2,434^3,242^4 in 2D2D, 3D3D, and 4D4D. In addition, we present an alternative to the Galerkin procedure that results in sparse matrices to invert.Comment: 31 pages, latex, figures separat

    The impact of owner age on companionship with virtual pets

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    This paper focuses on issues of interaction with a particular type of mobile information system – virtual pets. It examines the impact of owner age on companionship with virtual pets, and tests the hypothesis that younger virtual pet owners will experience closer companionship with their virtual pet than older owners. This is in response to the marketing stance adopted by virtual pet manufacturers who clearly target younger people as the main consumers of their products. The hypothesis was tested using survey data and companionship was measured using the Comfort from Companion Animals Scale. Support was found for the hypothesis at all definitions of young: there is a highly significant difference between the companionship offered by a virtual pet to young people than that offered to older people. Although this finding generally indicates that virtual pets offer more, in terms of emotional-engagement, to younger people than older people we suggest that much more research in this area is needed in order to better understand the phenomenal commercial success of virtual pets. In addition, there is an abundance of literature examining the benefits of owning real pets. It is possible that a virtual pet might be able to deliver some of these, and given our result, it is likely that virtual pets will be more likely to bring these benefits to young people rather than to old peopl

    New Numerical Method for Fermion Field Theory

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    A new deterministic, numerical method to solve fermion field theories is presented. This approach is based on finding solutions Z[J]Z[J] to the lattice functional equations for field theories in the presence of an external source JJ. Using Grassmann polynomial expansions for the generating functional ZZ, we calculate propagators for systems of interacting fermions. These calculations are straightforward to perform and are executed rapidly compared to Monte Carlo. The bulk of the computation involves a single matrix inversion. Because it is not based on a statistical technique, it does not have many of the difficulties often encountered when simulating fermions. Since no determinant is ever calculated, solutions to problems with dynamical fermions are handled more easily. This approach is very flexible, and can be taylored to specific problems based on convenience and computational constraints. We present simple examples to illustrate the method; more general schemes are desirable for more complicated systems.Comment: 24 pages, latex, figures separat

    A Checklist of Megaloptera and Neuroptera (Planipennia) of Indiana

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    Sixty-five species of the insect orders Megaloptera and Neuroptera have been confirmed as being distributed in the state of Indiana, with the majority representing new state records

    Molecular Simulations of Ultrafast Radiation Induced Melting at Metal-Semiconductor Interfaces

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    Understanding radiation induced ultrafast melting at material interfaces is essential in designing robust electronic devices for aviation/space applications and in laser machining. While it is difficult to achieve the spatial and temporal resolution required to quantify the phenomenon experimentally, simulations can provide the detailed mechanisms of the structural changes that happen during phase transition. In this work, we use molecular simulations to study the effect of radiation damage on silicon carbide (SiC) - tungsten (W) interfaces which is of interest in high power electronics. A multi-scale approach is involved wherein the reactions at the interfaces are quantified using ab-initio molecular dynamics (MD) simulations and classical MD simulations are employed to understand the structural and diffusional changes across the material interface. Finally, coarse-grained Lennard-Jones type models are used to study the larger scale mechanisms and structures obtained due to the induced damages. We show that the response of the material to radiation damage depends on factors such as energy of the incident radiation, thermal properties, and molecular structure of the material

    Low fertility increases descendant socioeconomic position but reduces long-term fitness in a modern post-industrial society.

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    Adaptive accounts of modern low human fertility argue that small family size maximizes the inheritance of socioeconomic resources across generations and may consequently increase long-term fitness. This study explores the long-term impacts of fertility and socioeconomic position (SEP) on multiple dimensions of descendant success in a unique Swedish cohort of 14 000 individuals born during 1915-1929. We show that low fertility and high SEP predict increased descendant socioeconomic success across four generations. Furthermore, these effects are multiplicative, with the greatest benefits of low fertility observed when SEP is high. Low fertility and high SEP do not, however, predict increased descendant reproductive success. Our results are therefore consistent with the idea that modern fertility limitation represents a strategic response to the local costs of rearing socioeconomically competitive offspring, but contradict adaptive models suggesting that it maximizes long-term fitness. This indicates a conflict in modern societies between behaviours promoting socioeconomic versus biological success. This study also makes a methodological contribution, demonstrating that the number of offspring strongly predicts long-term fitness and thereby validating use of fertility data to estimate current selective pressures in modern populations. Finally, our findings highlight that differences in fertility and SEP can have important long-term effects on the persistence of social inequalities across generations
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