Statistical Physics and Spatial Statistics
The Art of Analyzing and Modeling Spatial Structures and Pattern Formation
1st Edition
Published on 28. August 2000
Book
Hardback
XII, 420 pages
978-3-540-67750-5 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 420 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 28 mm
Weight
816 gr
ISBN-13
978-3-540-67750-5 (9783540677505)
DOI
10.1007/3-540-45043-2
Schweitzer Classification
Other editions
Additional editions
Klaus R. Mecke | Dietrich Stoyan
Statistical Physics and Spatial Statistics
The Art of Analyzing and Modeling Spatial Structures and Pattern Formation
Book
12/2010
Springer
€53.49
Shipment within 7-9 days
Content
Spatial Statistics and Point Processes.- Basic Ideas ofSpatial Statistics.- Stationary Models in Stochastic Geometry - Palm Distributions as Distributions of Typical Elements. An Approach Without Limits.- Statistical Analysis of Large-Scale Structure in the Universe.- Dynamics ofStructure Formation in Thin Liquid Films: A Special Spatial Analysis.- Integral Geometry and Morphology of Patterns.- Mixed Measures and Inhomogeneous Boolean Models.- Additivity, Convexity, and Beyond: Applications of Minkowski Functionals in Statistical Physics.- Considerations About the Estimation ofthe Size Distribution in Wicksell's Corpuscle Problem.- Local Porosity Theory and Stochastic Reconstruction for Porous Media.- Stochastic Models as Tools for the Analysis of Decomposition and Crystallisation Phenomena in Solids.- Phase Transitions and Simulations of Hard Particles.- Phase Transition and Percolation in Gibbsian Particle Models.- Fun with Hard Spheres.- Finite Packings and Parametric Density.- A Primer on Perfect Simulation.- Grand Canonical Simulations ofHard-Disk Systems by Simulated Tempering.- Dynamic Triangulations for Granular Media Simulations.