Continuum Models and Discrete Systems (Paperback, Softcover Repri)

Contents Dedication v Preface xiii In Memoriam of Ekkehart Kroener xv In Memoriam of Konstantin Zdravkov Markov xvii Acknowledgment xx Part 1 Thermodynamics, transport theory, and statistical mechan ics GL Noise in non-Ohmic regimes of disordered systems (abstract) 3 Kamal K. Bardhan and Chandidas Mukherjee RC Coupled tent and logistic maps: Lyapunov exponents, stability and bifur cations of invariant set belonging to the map diagonal 5 Vladimir A. Dobrynskiy RC Self-assembied 2D dipole clusters (abstract) 13 M. Golosovsky Y Saado, Y Neve-Oz and D. Davidov RC Transforming to chaos by forma! forms 15 Avadis Hacinliyan Nazim Ziya Perdahci, Gokhan Sahin, H. Ahmet Yildirim RC Representative volume element: A statistical point of view (not presented) 21 Dominique Jeulin Toufik Kanit, and Samuel Forest RC Diffusion mediated transport and the Brownian motor 29 David Kinderlehrer RC A phase field system with memory 37 Amy Novick-Cohen RC Pattern formation, reconstruction, and roughening on a catalytic surface (abstract) 43 M. Monine and L. M. Pismen viii CONTINUUM MODELS AND DJSCRETE SYSTEMS Part II Continuum mechanics of complex fluids and deformable solids with microstructure RC The special electrical properties and the corresponding applications of car bon black-polymer composites 47 1. Balberg RC Continuum field model of defect-induced heterogeneities in a strained thin layer 55 Mikhail Belogolovskii Gennadij Akimov, Yurii Komysa, Paul Seidel OL The effective conductivity of densely packed high contrast composites 63 Yuliya Gorb and Leonid Berlyand RC Simple algebraic approximations for the effective elastic moduli of a cubic array of spheres 75 Israel Cohen and David J. Bergman RC Geometrical factors affecting the bulk electrical properties of soils and rocks: Measurements and continuum mean field computations (abstract) 81 Shmulik 1'. Friedman Scott B. Jones, and David A. Robinson RC Information theoretical sliding window optimization applied to discretiza tion of continuous signals (abstract) 83 Huseyin Goksu and Donald C. Wunsch RC Dispersive durable systems: The technology of synthesis with given prop erties 85 Ramiz A. Hasanov RC Artificial "magnetic atoms" for microwave composite materials 99 E. 0. Kamenetskii R. Shavit, and M. Sigalov RC Effective properties of matrix composite materials with high volume con- centrations of inciusions (abstract) 105 Sergey K. Kanaoun RC On the effective constants of inhomogeneous poroelastic medium 107 v M. Levin and J. M. Alvarez-Tostado RC On the solution of the inhomogeneous Helmholtz wave equation for ellip soidal sources 115 T M. Michelitscj J. Wang, H. Gao, and V M. Levin RC Computational mesomechanics of materials 123 Leon Mishnaevsky Jr Contents ix RC Non-homogenization approach to the analysis of periodic elastic systems: Applications to fracture mechanics and topological optimization 129 Michael Ryvkin Moshe Fuchs, Fabian Lipperman, and Eyal Moses RC Plasmonic nanoantennas (abstract) 135 Andrey K. Sarychev and Vladimir M. Shalaev RC Effective conductivity of non-linear composites and electrical breakdown 137 A. Snarskii and M. Zhenirovsky RC Exact relations between macroscopic moduli of composite media in n di- mensions 143 Yakov M. Strelniker and David J. Bergman RC Local field effects and optical susceptibility of composite media 151 Gregory Surdutovich RC On the approximation theorem for functionals and the asymptotic stability for some classes of polynomial fluids 159 Victor Tigoiu RC The lattice-gas model in micro- aero-hydrodynamics problems 165 Yuriy K. Tovbin RC Computation of ground bearing capacity from shear wave velocity 173 Ergun Turker RC Boundary element method applied to some multiphase fiows (abstract) 181 D. V Yevdokymov Part III Co