Отправлено: 08.07.08 04:08. Заголовок: Оглавление из книги Torquato

Motivation and Overview I 1

correlation functions, microstructure, elastic moduli
Microstructural Descriptors 23

correlation function, probability density function, isotropic
Statistical Mechanics of ManyParticle Systems 59

radial distribution function, Ornstein-Zernike equation, Boltzmann factor
Unified Approach to Characterize Microstructure 96

indicator function, test particle, polydisperse
Monodisperse Spheres 119

radial distribution function, equilibrium systems, ergodic
Polydisperse Spheres 160

monodisperse, log-normal distribution, nearest-surface
Anisotropic Media 177

laminate, spheroids, rectangular parallelepipeds
Cell and RandomField Models 188

Voronoi tessellation, Gaussian random field, Voronoi cells
Percolation and Clustering 210

critical exponents, bond percolation, site percolation
Some Continuum Percolation Results 234

k-mer, Boltzmann factor, critical exponent
Local Volume Fraction Fluctuations 257

local volume, normal distribution, cumulative distribution function
Computer Simulations Image Analyses and Reconstructions 269
microtomography, periodic boundary conditions, canonical ensemble
Local and Homogenized Equations 305

shear modulus, bulk modulus, Poisson ratio
Variational Principles 357

variational principles, divergence theorem, surface integrals
PhaseInterchange Relations 390
bond percolation, vector fields, shear modulus

Exact Results 403
Young modulus, laminate, hyperspherical

SingleInclusion Solutions 437
infinite matrix, Oseen tensor, ellipsoid

EffectiveMedium Approximations 459
ellipsoids, porous medium, superconducting

Cluster Expansions 485
cluster expansion, absolutely convergent, conditionally convergent

Exact Contrast Expansions 509
fractional linear transformation, conditionally convergent, absolutely convergent

Rigorous Bounds 552
two-point tensor, variational principle, upper bound

Evaluation of Bounds 593
upper bound, two-point tensor, quadratic formula

CrossProperty Relations 632
hyperbolas, cross-property bounds, Theorem

A Equilibrium HardDisk Program 656
RADIAL DISTRIBUTION FUNCTION, INTEGER, IPRINT

References 663

Index 693
Interdisciplinary Applied Mathematics, dialog, science and technology