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Browsing Mathemateg a Ffiseg / Mathematics & Physics by Title

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  • Temperature-dependent structural heterogeneity in calcium silicate liquids 
    Benmore, C. J.; Weber, J. K. R.; Wilding, M. C.; Du, J.; Parise, J. B. (2010-12-01)
    X-ray diffraction measurements performed on aerodynamically levitated CaSiO(3) droplets have been interpreted using a structurally heterogeneous liquid-state model. When cooled, the high-temperature liquid shows evidence ...
  • Three-dimensional bubble clusters: shape, packing and growth-rate 
    Cox, Simon; Graner, François (2004)
    We consider three-dimensional clusters of equal-volume bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws ...
  • A Topological Analysis of the Magnetic Breakout Model for an Eruptive Solar Flare 
    Longcope, Dana; Brown, Daniel; Beveridge, Colin; Priest, Eric; Maclean, Rhona (2005-07-08)
    The magnetic breakout model gives an elegant explanation for the onset of an eruptive solar flare, involving magnetic reconnection at a coronal null point which leads to initially enclosed flux 'breaking out' to large ...
  • Topological and geometrical disorder correlate robustly in two-dimensional foams 
    Cox, Simon; Kafer, J.; Rabaud, D.; Quilliet, C.; Graner, François; Ataei Talebi, S. (2008)
    A 2D foam can be characterised by its distribution of bubble areas, and of number of sides. Both distributions have an average and a width (standard deviation). There are therefore at least two very different ways to ...
  • The topological behaviour of 3D null points in the Sun's corona 
    Brown, Daniel; Priest, Eric (2001-02-03)
    Many traditional two-dimensional models of flares and other reconnective events rely on an X-point in the corona which collapses to form a current sheet where reconnection takes place. However, the Sun's corona is ...
  • Topological changes in a two-dimensional foam cluster 
    Weaire, Denis; Cox, Simon; Vaz, M. Fatima (2003)
    Experiments on a small cluster of bubbles in a nominally two-dimensional foam show an instability in which a topological change forces one of the bubbles to be ejected to the outside of the cluster at ap oint where this ...
  • Topological changes in sheared two-dimensional foams 
    Wyn, Aled (Aberystwyth UniversityMathematical and Physical Sciences, 2009)
    This thesis concerns the response of two-dimensional foams to applied shear based on numerical simulations in the quasistatic limit. The effect of liquid fraction and areadisorder on the discrete topological changes (T1s) ...
  • Tracing the reactive melting of glass-forming silicate batches by in situ Na-23 NMR 
    Massiot, D.; Jones, Aled R.; Florian, Pierre; Winter, Rudolf (2005-02)
    The kinetics of the reaction of batches of powdered quartz and sodium carbonate was studied by in situ 23Na nuclear magnetic resonance (NMR) spectroscopy using a laser-heated probe. We show for the first time that the ...
  • Transfer Functions for Pairs of Wandering Subspaces 
    Gohm, Rolf (Birkhäuser, 2012-11-07)
    To a pair of subspaces wandering with respect to a row isometry we associate a transfer function which in general is multi-Toeplitz and in interesting special cases is multi-analytic. Then we describe in an expository way ...
  • The transition from three-dimensional to two-dimensional foam structures 
    Jones, Sian Angharad; Cox, Simon (2011-08-31)
    A two-dimensional foam consists of a monolayer of bubbles. It can be created by squeezing the more familiar three-dimensional foam between two parallel glass plates. We describe and explain the minimum plate separation H ...
  • The transition from two-dimensional to three-dimensional foam structures 
    Weaire, D.; Cox, Simon; Fátima Vaz, M. (2002-04)
    Small cells in an experimental sample of two-dimensional foam, such as that which is contained between two glass plates, may undergo a transition to a three-dimensional form, becoming detached from one boundary. We present ...
  • Transition region, coronal heating and the fast solar wind 
    Li, Xing (2003-07-04)
    It is assumed that magnetic flux tubes are strongly concentrated at the boundaries of supergranule convection cells. A power law spectrum of high frequency Alfvén waves with a spectral index -1 originating from the sun is ...
  • Transmission Conditions for Thin Reactive Heat-Conducting Interphases: General Case 
    Mishuris, Gennady; Miszuris, Wiktoria; Öchsner, Andreas (2009-03)
    Imperfect transmission conditions modelling a thin reactive intermediate layer between two bonded materials in a dissimilar strip are derived in this paper in most general case extending results obtained previously. The ...
  • Two-dimensional constriction flows of foams 
    Jones, Sian; Dollet, B.; Slosse, N.; Jiang, Yi; Cox, Simon; Graner, François (2011-05-05)
    The flow of a quasi-two-dimensional foam through a constriction is described. The bubble velocity and elongation (texture) is compared between two sets of experiments and two different quasi-static simulations using Surface ...
  • Two million hours of science 
    Greaves, G. N.; Catlow, C. R. A.; Derbyshire, G. E.; McMahon, M. I.; Nelmes, R. J.; Van der Lann, G. (2008-11-01)
    After over a quarter of a century, the doors of the world's first synchrotron radiation source have closed. Its contribution to materials science in the past and the future should not be underestimated.
  • Uniqueness of the polar factorisation and projection of a vector-valued mapping 
    Douglas, Robert J.; Burton, G. R. (2003-05)
    This paper proves some results concerning the polar factorisation of an integrable vector-valued function $u$ into the composition $u = u^{\#} \circ s$, where $u^{\#}$ is equal almost everywhere to the gradient of a convex ...
  • An upper bound for the minimum weight of the dual codes of desarguesian planes 
    Mavron, V. C.; McDonough, Thomas P.; Key, Jennifer D. (2009-01)
    We show that a construction described in [K.L. Clark, J.D. Key, M.J. de Resmini, Dual codes of translation planes, European J. Combinatorics 23 (2002) 529–538] of small-weight words in the dual codes of finite translation ...
  • Vibrations of damaged 1D-3D multi-structures 
    Mishuris, Gennady; Dronka, J.; Aslanyan, A. G.; Selsil, O. (2007)
    The objective of the paper is to study the vibrations of 1D-3D nondegenerate multistructures, which are partly damaged. Such an analysis is useful to quickly asses the condition of a structure which has been in use over a ...
  • Viscoplasticity with a saturation stress: distinguishing features of the model 
    Mishuris, Gennady; Alexandrov, Sergei (2007-01)
    Viscoplastic models including a saturation stress are considered. The existence of the saturation stress significantly changes the mathematical structure of solutions near maximum friction surfaces (surfaces where the ...
  • A viscous froth model for dry foams in the Surface Evolver 
    Cox, Simon (2005-08)
    An implementation of the recent viscous froth model of Kern et al. [N.Kern, D.Weaire, A. Martin, S. Hutzler, S.J. Cox, The two-dimensional viscous froth model for foam dynamics, Phys. Rev. E 70 (2004) 041411.] in the Surface ...

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