637 research outputs found

    Beyond the poor man's implementation of unconditionally stable algorithms to solve the time-dependent Maxwell Equations

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    For the recently introduced algorithms to solve the time-dependent Maxwell equations (see Phys.Rev.E Vol.64 p.066705 (2001)), we construct a variable grid implementation and an improved spatial discretization implementation that preserve the property of the algorithms to be unconditionally stable by construction. We find that the performance and accuracy of the corresponding algorithms are significant and illustrate their practical relevance by simulating various physical model systems.Comment: 18 pages, 16 figure

    Radial solitons in armchair carbon nanotubes

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    Radial solitons are investigated in armchair carbon nanotubes using a generalized Lennard-Jones potential. The radial solitons are found in terms of moving kink defects whose velocity obeys a dispersion relation. Effects of lattice discreteness on the shape of kink defects are examined by estimating the Peierls stress. Results suggest that the typical size for an unpinned kink phase is of the order of a lattice spacing.Comment: 11 pages, 3(eps) figure

    Reshaping Global Change Science for the 21st Century: Young Scientists’ Perspectives

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    Humanity is facing unprecedented environmental, social, and economic challenges. We ask what the role of the global science community should be in tackling these challenges. Increased awareness of the social context in which science is being produced; acceptance of the importance of controversy; and reflection around normative assumptions underlying research are needed. To help solve humanity’s grand challenges scientists need to move towards a transdisciplinary view of science where knowledge emerges from a collaborative environment and where young scientists are trained to work across disciplinary boundaries and engage with policy communities

    Critical temperature and density of spin-flips in the anisotropic random field Ising model

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    We present analytical results for the strongly anisotropic random field Ising model, consisting of weakly interacting spin chains. We combine the mean-field treatment of interchain interactions with an analytical calculation of the average chain free energy (``chain mean-field'' approach). The free energy is found using a mapping on a Brownian motion model. We calculate the order parameter and give expressions for the critical random magnetic field strength below which the ground state exhibits long range order and for the critical temperature as a function of the random magnetic field strength. In the limit of vanishing interchain interactions, we obtain corrections to the zero-temperature estimate by Imry and Ma [Phys. Rev. Lett. 35, 1399 (1975)] of the ground state density of domain walls (spin-flips) in the one-dimensional random field Ising model. One of the problems to which our model has direct relevance is the lattice dimerization in disordered quasi-one-dimensional Peierls materials, such as the conjugated polymer trans-polyacetylene.Comment: 28 pages, revtex, 4 postscript figures, to appear in Phys. Rev.

    Re-shaping Sustainability Science for the 21st Century: Young Scientists’ Perspectives

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    Humanity is facing unprecedented environmental, social and economic challenges. We ask what the role of the sustainability science community should be in tackling these challenges, focusing particularly on young scientists’ perspectives on the issue. On the basis of a questionnaire and a workshop with young scientists, we identify four major challenges facing humanity and develop three guidelines for sustainability science that seeks to address them. Results show that to help address humanity’s grand challenges, sustainability scientists need to move towards a trans-disciplinary system view of science and sustainability science problems. According to this view knowledge emerges from a collaborative and transdisciplinary environment and young scientists are trained to work across disciplinary boundaries and engage with policy communities
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