Synopses & Reviews
Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.
Table of Contents
Basic ideas of spatial statistics / Dietrich Stoyan -- Stationary models in stochastic geometry--palm distributions as distributions of typical elements, an approach without limits / Werner Nagel -- Statistical analysis of large-scale structure in the universe / Martin Kerscher -- Dynamics of structure formation in thin liquid films : a special spatial analysis / Karin Jacobs, Ralf Seemann, Klaus Mecke -- Mixed measures and inhomogeneous Boolean models / Wolfgang Weil -- Additivity, convexity, and beyond : applications of Minkowski functionals in statistical physics / Klaus R. Mecke -- Considerations about the estimation of the size distribution in Wicksell's corpuscle problem / Joachim Ohser, Konrad Sandau -- Local porosity theory and stochastic reconstruction for porous media / Rudolf Hilfer -- Stochastic models as tools for the analysis of decomposition and crystallisation phenomena in solids / Helmut Hermann -- Phase transition and percolation in Gibbsian particle models / Hans-Otto Georgii -- Fun with hard spheres / Hartmut Lèowen -- Finite packings and parametric density / Jèorg M. Wills -- A primer on perfect simulation / Elke Thèonnes -- Grand canonical simulations of hard-disk systems by simulated tempering / Gunter Dèoge -- Dynamic triangulations for granular media simulations / Jean-Albert Ferrez, Thomas M. Liebling, Didier Mèuller.