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The present monograph presents, for the first time, a unified and comprehensive introduction to some of the basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion. The treatment is based on critical path analysis and the scaling of transport properties which are individually described as functions of saturation. At the same time, the book supplies a tutorial on percolation theory for hydrologists, providing them with the tools for solving actual problems. In turn, a separate chapter serves to introduce physicists to some of the language and complications of groundwater hydrology necessary for successful modelling.

Porous materials --- Percolation (Statistical physics) --- Critical path analysis. --- Matériaux poreux --- Percolation (Physique statistique) --- Méthode du chemin critique --- Transport properties. --- Propriétés de transport --- Hydraulic engineering. --- Physics. --- Statistical physics. --- Thermodynamics. --- Engineering. --- Geosciences. --- Hydrogeology. --- Statistical Physics. --- Complexity. --- Mechanics, Fluids, Thermodynamics. --- Math. Applications in Geosciences. --- Critical path analysis --- Atomic Physics --- Physical Geography --- Physics --- Geography --- Physical Sciences & Mathematics --- Earth & Environmental Sciences --- Transport properties --- CPM (Network analysis) --- Critical path method --- Path analysis, Critical --- Porous media --- Construction --- Natural philosophy --- Philosophy, Natural --- Engineering, Hydraulic --- Statistical methods --- Earth sciences. --- Hydrology. --- Continuum physics. --- Dynamical systems. --- Earth Sciences. --- Hydrology/Water Resources. --- Statistical Physics, Dynamical Systems and Complexity. --- Classical Continuum Physics. --- Earth Sciences, general. --- Geography. --- Complex Systems. --- Classical and Continuum Physics. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Cosmography --- Earth sciences --- World history --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Geosciences --- Environmental sciences --- Physical sciences --- Classical field theory --- Continuum physics --- Continuum mechanics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Aquatic sciences --- Hydrography --- Water --- Geohydrology --- Geology --- Hydrology --- Groundwater --- Dynamics. --- Field theory (Physics)

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This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.

Ising-model. --- Percolatietheorie. --- Phase transformations (Statistical physics) --- Ising model. --- Percolation (Statistical physics) --- Transformations de phase (Physique statistique) --- Ising model --- Percolation (Physique statistique) --- Electronic books. -- local. --- Ising model -- Congresses. --- Percolation (Statistical physics) -- Congresses. --- Phase transformations (Statistical physics) -- Congresses. --- Wulff construction (Statistical physics) -- Congresses. --- Atomic Physics --- Mathematical Statistics --- Mathematics --- Physics --- Physical Sciences & Mathematics --- Wulff construction (Statistical physics) --- Lenz-Ising model --- Mathematics. --- Calculus of variations. --- Probabilities. --- Physics. --- Probability Theory and Stochastic Processes. --- Theoretical, Mathematical and Computational Physics. --- Calculus of Variations and Optimal Control; Optimization. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Math --- Science --- Lattice theory --- Statistical physics --- Ferromagnetism --- Distribution (Probability theory. --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Mathematical physics. --- Physical mathematics --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium