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The Wulff Crystal in Ising and Percolation Models

This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting;

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Probability on Graphs

systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model;

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Exactly Solved Models in Statistical Mechanics

lattice, and the spherical model. Subsequent chapters address duality and star-triangle transforms of planar Ising models, the square-lattice;

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Stochastic Dynamics and Irreversibility

equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such;

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Probability on Graphs

systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model;

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Monte Carlo simulations of the Ising model

In this book, the thermodynamic observables of the classical one- and two-dimensional ferromagnetic and antiferromagnetic Ising models on a;

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Complexity And Criticality

is lowered in zero external field. By emphasising analogies between percolation and the Ising model, the reader's intuition of phase transitions;

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Quantum Phase Transitions In Transver

The transverse field Ising and XY models (the simplest quantum spin models) provide the organising principle for the rich variety;

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Monte Carlo Methods applied to the Ising model

The thermodynamic observables of the classical one- and two-dimensional ferromagnetic and antiferromagnetic Ising models on a square;

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Quantum Field Theory and Condensed Matter

statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to;

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The Selected Models of the Mesostructure of Composites

material structure containing percolation clusters of phases and interior boundaries. Modeling of technological cracks and the percolation in the;

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The Two-Dimensional Ising Model

-dimensional Ising model is not only the most thoroughly investigated; it is also the richest and most profound." Originally published in 1973, this;

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Cambridge Tracts in Mathematics

eventually make the ground evenly wet. This is a systematic rigorous account of continuum percolation. Two models, the Boolean model and the random;

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Cambridge Tracts in Mathematics

eventually make the ground evenly wet. This is a systematic rigorous account of continuum percolation. Two models, the Boolean model and the random;

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Progress in High-Dimensional Percolation and Random Graphs

the main results, defining the central objects, and proving its main properties. No prior knowledge of percolation is assumed. Part II;

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Statistical Mechanics

Cayley tree. Proceeding beyond mean field theory, the book discusses exact mappings involving Potts models, percolation, self-avoiding walks and;

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Polygons, Polyominoes and Polycubes

solvable. They include percolation, in its various forms, the Ising model of ferromagnetism, polyomino enumeration, Potts models and many others;

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Limit Theorems For Associated Random Fields And Related Systems

, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the;

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Random Fields and Spin Glasses

Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and;

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Random Fields and Spin Glasses

Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and;

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Cluster Model Interrelation with Modern Physical Concepts

clusters at the percolation threshold. As shown below, the cluster structure represents the percolation system and, due to the above-said, the;

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Statistical Mechanics of Lattice Systems: Volume 1

results for the Ising and six-vertex models and those derivable by transformation methods.;

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Percolation Theory In Reservoir Engineering

properties. Starring with the concept of percolation theory, it then develops into methods to simple geological systems like sand-bodies and;

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A Course on Large Deviations with an Introduction to Gibbs Measures

second time through the percolation approach. Beyond the large deviations of independent variables and Gibbs measures, later parts of the book;

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Mechanics of Oil and Gas Flow in Porous Media

This book discusses various aspects of percolation mechanics. It starts with the driving forces and driving modes and then examines;

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Mechanics of Oil and Gas Flow in Porous Media

This book discusses various aspects of percolation mechanics. It starts with the driving forces and driving modes and then examines;

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Percolation Theory at Saint-Flour

Grimmett, Geoffrey: Percolation and disordered systems.- Kesten, Harry: Aspects of first passage percolation.;

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