Theory and Applications of the Cluster Variation and Path Probability Methods

Problems in the Foundation of the Path Probability Method: Path Probability Function and Entropy Production.- Ising Model and Kinetic Mean Field Theories.- Kinetic Path and Fluctuation Calculated by the PPM.- Time Development of Fluctuations in the PPM.- Universal Dynamic Response in Solid Electrolytes: Formalism of the Path Probability Method as Applied to Transport Properties.- Cluster Variational Approach to Non-Equilibrium Lattice Models.- Coherent-Anomaly Method and its Applications.- Cluster Variation and Cluster Statics.- The Cluster Variation Method, the Effective Field Method and the Method of Integral Equation on the Regular and Random Ising Model.- CVM, CCM, and QCVM.- The Cluster Expansion Method.- Lattice Models and Cluster Expansions for the Prediction of Oxide Phase Diagrams and Defect Arrangements.- Diffuse Scattering of Neutrons in Ni3V and Pt3V: Test of the Gamma Expansion Method Approximation in a Degenerate Case.- Cluster Variation Method Applications to Large Ising Aggregates.- Thermodynamic Properties of Coherent Interphase Boundaries in fcc Substitutional Alloys.- Efficient CVM Methods to Study Interphase Boundary Properties.- Ordering of Oxygen Atoms in YBa2Cu3O6+x: Long–Range Coulomb Repulsions.- Application of CVM Continuous Atomic Displacement Formulation to the Fracture Problem.- CVM Calculations in Binary and Ternary bcc or fcc Phases.- The CVM and Inverse CVM: Examples in Transition-Metal Alloys and Compounds.- Application of Cluster Variation Method to Image Restoration Problem.- Cluster Approach to Pattern Recognition.- Cluster Expansion Using Boolean Partition Lattices.