Continuum Models and Discrete Systems [Hardcover]

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

RC Coupled tent and logistic maps: Lyapunov exponents, stability and bifur

cations of invariant set belonging to the map diagonal 5

RC Self-assembied 2D dipole clusters (abstract) 13

RC Transforming to chaos by forma! forms 15

RC Representative volume element: A statistical point of view (not presented) 21 Dominique

RC Diffusion mediated transport and the Brownian motor 29

RC A phase field system with memory 37

RC Pattern formation, reconstruction, and roughening on a catalytic surface

(abstract) 43

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

RC Continuum field model of defect-induced heterogeneities in a strained thin

layer 55

OL The effective conductivity of densely packed high contrast composites 63

RC Simple algebraic approximations for the effective elastic moduli of a cubic

array of spheres 75

RC Geometrical factors affecting the bulk electrical properties of soils and rocks: Measurements and continuum mean field computations (abstract) 81

RC Information theoretical sliding window optimization applied to discretiza&ll3U