Tunneling dynamics and spawning with adaptive semi-classical wave-packets V. Gradinaru, G.A. Hagedorn, and A. Joye Seminar for Applied Mathematics, ETH Zürich, CH-8092 Zürich, Switzerland. Department of Mathematics and Center for Statistical Mechanics, Mathematical Physics, and Theoretical Chemistry, Virginia Tech, Blacksburg, Virginia 24061-0123, USA. Institut Fourier, Université de Grenoble 1...

Jianfeng Lu, Jian-Guo Liu, and Dionisios Margetis Department of Mathematics and Department of Physics, Duke University, Durham, North Carolina 27708, USA Department of Chemistry, Duke University, Durham, North Carolina 27708, USA Department of Mathematics, and Institute for Physical Science and Technology, and Center for Scientific Computation and Mathematical Modeling, University of Maryland, ...

N. V. Brilliantov,1,2 Yu. A. Andrienko,1,3 P. L. Krapivsky,4 and J. Kurths3 1Physics Department, Moscow State University, Moscow 119899, Russia 2Department of Chemistry, University of Toronto, Toronto, Canada M5S 1A1 3Physics Department, University Potsdam, Am Neuen Palais, D–14415 Potsdam, Germany 4Courant Institute of Mathematical Sciences, New York University, New York, New York 10012-1185 (...

Affiliations: 1Institute of Complex Systems and Mathematical Biology, University of Aberdeen, United Kingdom; 2Centre for BioNano Interactions, School of Chemistry and Chemical Biology, University College Dublin, Belfield, Ireland; 3School of Physics, University College Dublin, Dublin, Ireland; and 4Institute for Molecular Bioscience, Division of Cell Biology and Molecular Medicine, The Univers...

1Department of Mathematics, Stanford University, Stanford, CA 94305 USA 2Departments of Mathematics, Chemistry, and Physics, Duke University, Durham, NC 27708 USA 3North Carolina Museum of Art, Raleigh, NC 27607 USA 4Department of Mathematics, Duke University, Durham, NC 27708 USA 5Department of Mathematics and Institute for Computational and Mathematical Engineering, Stanford University, Stanf...

1 Department of Biochemistry, Cell and Molecular Biology, School of Biological Sciences, College of Basic and Applied Sciences, University of Ghana, Legon, P. O. Box LG54, Legon, Accra, Ghana. 2 Department of Chemistry,School of Physical and Mathematical Sciences, College of Basic and Applied Science, University of Ghana, Legon, Accra, Ghana. 3 Department of Physiology, Development and Neurosci...

The state-of-the-art in modelling of internal corrosion of oil and gas pipelines made from carbon steel is reviewed. The review covers the effects of: electrochemistry, water chemistry, formation of protective scales and scales, temperature, flow, steel, inhibition, water condensation, glycol/methanol and localized attack. Various mathematical modelling strategies are discussed. 2007 Elsevier L...

School of Chemistry, ARC Centre of Excelle Technology, University of New South Wa E-mail: [email protected] Australian Centre for NanoMedicine, Univ Wales 2052, Australia EMBL Australia Node in Single Molecule Advanced Molecular Imaging, University o 2052, Australia † Electronic supplementary information ( simultaneous setup and mathematical potential dye cytotoxicity, selecting the el...

We make a general study of the convergence properties of lattice sums, involving potentials, of the form occurring in mathematical chemistry and physics. Many specific examples are studied in detail. The prototype is Madelung’s constant for NaCl: ∞ X −∞ (−1)n+m+p p n2 + m2 + p2 = −1.74756459 · · · , presuming that one appropriately interprets the summation proccess.

The reverse degree distance of a connected graph $G$ is defined in discrete mathematical chemistry as [ r (G)=2(n-1)md-sum_{uin V(G)}d_G(u)D_G(u), ] where $n$, $m$ and $d$ are the number of vertices, the number of edges and the diameter of $G$, respectively, $d_G(u)$ is the degree of vertex $u$, $D_G(u)$ is the sum of distance between vertex $u$ and all other vertices of $G$, and $V(G)$ is the...