Description
SPRINGER Continuum Models And Discrete Systems 2004 Edition by ESIN INAN, DAVID J. BERGMAN
The Tenth International Symposium on Continuum Models and Discrete Systems (CMDSIO) took place at the Shoresh Holiday Complex in Shoresh, Israel, near the Capital City Jerusalem, from 30 June until 4 July 2003. The previous symposia in this series were: CMDS 1 (Kielce, Poland, 1975) CMDS2 (Mont Gabriel, Canada, 1977) CMDS3 (Freudenstadt, German Federal Republic, 1979) CMDS4 (Stockholm, Sweden, 1981) CMDS5 (Nottingham, England, 1985) CMDS6 (Dijon, France, 1989) CMDS7 (Paderborn, Germany, 1992) CMDS8 (Varna, Bulgaria, 1995) CMDS9 (Istanbul, Turkey, 1998) As in the previous symposia, participation was by invitation from the Inter- national Scientific Committee. Participants were chosen from a list of recom- mendations of the committee members, as well as from applications following advertisement of the symposium on the internet and in email messages to po- tential participants. The members of the International Scientific Committee were: Karl-Heinz Anthony CMDS7 Chairman (University ofPaderborn, Germany) David J. Bergman, Conference Chairman (Tel Aviv University, Israel) Bikas K.Chakrabatii (Saha Institute of Nuclear Physics Calcutta, West Bengal, India) Hans Jurgen Herrmann (University of Stuttgart, Germany; and ESPCI, Paris, France) Esin Inan, CMDS9 Chairwoman (Istanbul Technical University, Istanbul, Turkey) Dominique Jeulin (ENSMP, Fontainebleau, France) Mark Kachanov (Tufts University, Boston, MA, USA) David Kinderlehrer (Carnegie-Mellon University, Pittsburgh, PA, USA) Arnold M. Kosevich (B. Verkin Institute for Low Temperature Physics, Khat"kov, Ukraine) Valery M. Levin (Petrozavodsk State University, Petrozavodsk, Russia) Konstantin Z. ContentsDedication vPreface xiiiIn Memoriam of Ekkehart Kroener xvIn Memoriam of Konstantin Zdravkov Markov xviiAcknowledgment xxPart 1 Thermodynamics, transport theory, and statistical mechan icsGL Noise in non-Ohmic regimes of disordered systems (abstract) 3Kamal K. Bardhan and Chandidas MukherjeeRC Coupled tent and logistic maps: Lyapunov exponents, stability and bifurcations of invariant set belonging to the map diagonal 5Vladimir A. DobrynskiyRC Self-assembied 2D dipole clusters (abstract) 13M. Golosovsky Y Saado, Y Neve-Oz and D. DavidovRC Transforming to chaos by forma! forms 15Avadis Hacinliyan Nazim Ziya Perdahci, Gokhan Sahin, H. Ahmet YildirimRC Representative volume element: A statistical point of view (not presented) 21 Dominique Jeulin Toufik Kanit, and Samuel ForestRC Diffusion mediated transport and the Brownian motor 29David KinderlehrerRC A phase field system with memory 37Amy Novick-CohenRC Pattern formation, reconstruction, and roughening on a catalytic surface(abstract) 43M. Monine and L. M. Pismenviii CONTINUUM MODELS AND DJSCRETE SYSTEMSPart II Continuum mechanics of complex fluids and deformable solids with microstructureRC The special electrical properties and the corresponding applications of carbon black-polymer composites 471. BalbergRC Continuum field model of defect-induced heterogeneities in a strained thinlayer 55Mikhail Belogolovskii Gennadij Akimov, Yurii Komysa, Paul SeidelOL The effective conductivity of densely packed high contrast composites 63Yuliya Gorb and Leonid BerlyandRC Simple algebraic approximations for the effective elastic moduli of a cubicarray of spheres 75Israel Cohen and David J. BergmanRC Geometrical factors affecting the bulk electrical properties of soils and rocks: Measurements and continuum mean field computations (abstract) 81Shmulik 1'. Friedman Scott B. Jones, and David A. RobinsonRC Information theoretical sliding window optimization applied to discretization of continuous signals (abstract) 83Huseyin Goksu and Donald C. WunschRC Dispersive durable systems: The technology of synthesis with given properties 85Ramiz A. HasanovRC Artificial "magnetic atoms" for microwave composite materials 99E. 0. Kamenetskii R. Shavit, and M. SigalovRC Effective properties of matrix composite materials with high volume con-centrations of inciusions (abstract) 105Sergey K. KanaounRC On the effective constants of inhomogeneous poroelastic medium 107v M. Levin and J. M. Alvarez-TostadoRC On the solution of the inhomogeneous Helmholtz wave equation for ellipsoidal sources 115T M. Michelitscj J. Wang, H. Gao, and V M. LevinRC Computational mesomechanics of materials 123Leon Mishnaevsky JrContents ixRC Non-homogenization approach to the analysis of periodic elastic systems:Applications to fracture mechanics and topological optimization 129Michael Ryvkin Moshe Fuchs, Fabian Lipperman, and Eyal MosesRC Plasmonic nanoantennas (abstract) 135Andrey K. Sarychev and Vladimir M. ShalaevRC Effective conductivity of non-linear composites and electrical breakdown 137 A. Snarskii and M. ZhenirovskyRC Exact relations between macroscopic moduli of composite media in n di-mensions 143Yakov M. Strelniker and David J. BergmanRC Local field effects and optical susceptibility of composite media 151Gregory SurdutovichRC On the approximation theorem for functionals and the asymptotic stabilityfor some classes of polynomial fluids 159Victor TigoiuRC The lattice-gas model in micro- aero-hydrodynamics problems 165Yuriy K. TovbinRC Computation of ground bearing capacity from shear wave velocity 173Ergun TurkerRC Boundary element method applied to some multiphase fiows (abstract) 181D. V YevdokymovPart III Continuum theory of living structuresGL Noisy reaction-diffusion models and their biological implications (abstract) 185 Herbert LevineGL Engineered self-organization in natural and man-made systems 187Nadav Raichinan, Tamir Gabay, Yael Katsir Yoash Shapira, and Eshel Ben-JacobPart IV Dislocations and plasticityRC Annealing of dislocations in two dimensions-partial universality 209Nathan A rgamanRC Elasto-plastic models with dislocations based on configuration with torsion2l5 Sanda Cleja-Tigoiux CONTINUUM MODELS AND DISCRETE SYSTEMSRC Spin Effects in Plasticity (abstract) 221v Fleurov and M. MolotskiiRC Molecular model of rupture of a macromolecular chain of a loaded orientedcrystalline polymer 223Ulmas GafurovRC A molecular dynamics and an elastic continuum study of serew dislocations in copper 231D.Mordeh 1. Kelson, G. MakovPart V Fundamentals of fracture, defect dynamics, fatigue, and crack dynamics on different microlevelsRC Damage mechanisms and fracture of glass at the nanometer scale (abstract)239 E. Bouc/ E Celarie, S. Prades, D. Bonamy, C. Guillot, C. MarliereGL The generation of non-trivial fracture surface in the dynamic fracture ofbrittie materials (extended abstract) 241JayFineberg Amir Sagy, Ariel Livne, and Gil CohenRC Prediction possibility in the fractal overlap model of earthquakes 245Srutarshi Pradhan, Pinaki Choudhuri, and Bikas K. ChakrabartiGL Dynamical instabilities of quasi-static crack propagation under thermalstress (abstract) 251Itamar ProcacciaRC Inclusion based modeling of concrete with various aggregate volume fractions 253M. A. Tasdcj S. Akyuz, E Bayrainov, A. S. AgarPart VI New developmeuts in continuum theory, non-classical mathematical models, and discrete vs. continuum modelsRC Analysis of stochastically heterogeneous microbeams by a functional per-turbation method 261Eli AltusRC Modeling infiltration during soil sea! formation: Effects of sea! non-uniformityin depth and soil heterogeneity in space (abstract) 269S. Assouline Y MualemRC A fractal model for analyzing satellite-radar-altimetry images of the seasurface 271Doron E. Bar and Yehuda AgnonContents xiRC Diffusion equation with fractional time derivative-physical sense andpractical realization (abstract) 277E. M. Baskin and G. V ZilbersteinGL Theory of a naturally diserete model for DNA elasticity that accounts for the dependence of the mechanical properties of DNA on nucleotide sequence(abstract) 279Bernard Ii ColemanRC Integral representations for solutions of some nonciassical one dimensionalpseudoparabolic problems 281Esin man Seyidali S. AkhievRC Phononic band gap properties of doubly periodic arrays of coated inclusions 287S. B. Platts and N. V MovchanRC Adaptation of autocatalytic reactants to discrete catalysts (abstract) 295Nadav ShnerbGL How faithful are continuum models to discrete systems? Some strange rigorous results and their obvious real life applications (abstract) 297Sorin SolomonGL Bridging micro and macro scales in fluids 299Peng Yu, Shiomo Ta 'Part VII Granular material: Statics and dynamicsRC What controls the rheology of granular materials? (abstract) 313Einat AharonovGL Elasticity and force chains 315LGo1dhfr C. GoldenbergGL Restructuring of force networks 327Hans J. Herrmann R. Cruz Hidalgo, F KunRC Hydrodynamics of "thermal" granular convection 341Evgeniy KhainRC Force chains and stress in granular materials (abstract) 347Dov LevinePart VIII Percolation problemsRC Exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks 351xii CONTINUUM MODELS AND DISCRETE SYSTEMS Davidf. BergmanRC Mixed transfer-matrix method for computing the macroscopic conductivity of three-constituent extreme networks: Mixtures of normal conductor, perfectinsulator, and perfect conductor 359Xiangting Li and David J. BergmanRC Variable range hopping conduction in complex systems and a percolationmodel with tunneling 367Asok K. Sen and Somnath BhattacharyaRC The effective properties of macroscopically inhomogeneous ferromagneticcomposites (abstract) 375A. Snarskii and M. ZhenirovskyPart IX Phase transitions and their applicationsRC Switching transitions in confined liquid crystals 379Ohad LevyGL Patterns in drying water films 387S. G. LipsonRC Stability of stationary periodic solutions of the convective Cahn-Hilliardequation 399A. Podolny, A. A. Nepomnyashchy A. A. GolovinGL A dynamical system approach to aridity and desertification 405Erez Gilad, Jost von Hardenberg, Ehud Meron, Moshe Shachak, Yair ZarmiAlphabetical list of conference participants with addresses 419Author Index 425