Integral Geometry in Statistical Physics

DOI10.1142/S0217979298000491zbMath1229.82012MaRDI QIDQ3106617

Klaus R. Mecke

Publication date: 29 December 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (12)

Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors ⋮ SYSTEMS OF CLASSICAL PARTICLES IN THE GRAND CANONICAL ENSEMBLE, SCALING LIMITS AND QUANTUM FIELD THEORY ⋮ Stochastic generation of explicit pore structures by thresholding Gaussian random fields ⋮ Thin films in partial wetting: stability, dewetting and coarsening ⋮ How interface geometry dictates water's thermodynamic signature in hydrophobic association ⋮ Peel or coat spheres by convolution, repeatedly ⋮ Crystal shapes and crystallization in continuum modeling ⋮ Integral geometry of tensor valuations ⋮ Integral-geometry morphological image analysis ⋮ Thin-film flow influenced by thermal noise ⋮ Statistical scaling of geometric characteristics in stochastically generated pore microstructures ⋮ Continuum damage mechanics: Combining thermodynamics with a thoughtful characterization of the microstructure

Cites Work

• Euler characteristic and related measures for random geometric sets
• Transition to chemical turbulence
• Can One Hear the Shape of a Drum?
• Virial Coefficients and Models of Molecules in Gases

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