29 research outputs found

    Critical Behavior of a Three-State Potts Model on a Voronoi Lattice

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    We use the single-histogram technique to study the critical behavior of the three-state Potts model on a (random) Voronoi-Delaunay lattice with size ranging from 250 to 8000 sites. We consider the effect of an exponential decay of the interactions with the distance,J(r)=J0exp(ar)J(r)=J_0\exp(-ar), with a>0a>0, and observe that this system seems to have critical exponents γ\gamma and ν\nu which are different from the respective exponents of the three-state Potts model on a regular square lattice. However, the ratio γ/ν\gamma/\nu remains essentially the same. We find numerical evidences (although not conclusive, due to the small range of system size) that the specific heat on this random system behaves as a power-law for a=0a=0 and as a logarithmic divergence for a=0.5a=0.5 and a=1.0a=1.0Comment: 3 pages, 5 figure

    Predicting the cost of the consequences of a large nuclear accident in the UK

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    Nuclear accidents have the potential to lead to significant off-site effects that require actions to minimise the radiological impacts on people. Such countermeasures may include sheltering, evacuation, restrictions on the sale of locally-grown food, and long-term relocation of the population amongst others. Countries with nuclear facilities draw up emergency preparedness plans, and put in place such provisions as distributing instructions and iodine prophylaxis to the local population. Their plans are applied in simulated exercises on a regular basis. The costs associated with emergency preparedness and the safety provisions to reduce the likelihood of an accident, and/or mitigate the consequences, are justified on the basis of the health risks and accident costs averted. There is, of course, only limited actual experience to indicate the likely costs so that much of the costing of accidents is based on calculations. This paper reviews the methodologies used, in particular the approach that has been developed in the UK, to appraise the costs of a hypothetical nuclear accident. Results of analysing a hypothetical nuclear accident at a fictitious reactor site within the United Kingdom are discussed in relation to the accidents at Three Mile Island 2, Chernobyl and Fukushima Dai-ichi

    Bayesian modeling of neural net emulators

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    This is a Whitepaper submitted to the 2017 DOE ASCR Applied Math Meeting. It contains a proposal to develop verification and validation technologies for neural networks, that can serve as useful emulators of computationally-expensive PDE-based models. These emulators can be used in many-query applications such as global sensitivity analysis, Bayesian calibration and estimation of model-form errors
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