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Constrained percolation Ising model and XOR Ising model on planar lattices
This note contains below topics, Constrained percolation on the m 4 n 4 lattice, Ising model on transitive triangular tilings of the hyperbolic plane, XOR Ising model on transitive triangular tilings of the hyperbolic plane, XOR Ising models on the hexagonal and triangular lattices, Square tilings of the hyperbolic plane, Proof of m23, Proof of m21, Proof of m22, Percolation on transitive triangular tilings of hyperbolic plane, Proof of ipl and c34, Proof of coii xorc, Proof of chi lth, Deterministic Results about Contours and Clusters.
Author(s): Zhongyang Li
56 Pages
Statistical Physics by Lyderic Bocquet
This course is an introduction to statistical physics. The aim of statistical physics is to model systems with an extremely large number of degrees of freedom. This PDF covers the following topics related to Statistical Physics : Introduction to statistical physics: ’more is different’, Combinatorics and emergent laws, Microcanonical ensemble, Canonical Ensemble, Grand canonical ensemble, Ideal systems and entropic forces, Statistical ensembles and thermodynamics, Systems in interaction and phase transitions, Quantum statistics.
Author(s): Lyderic Bocquet
106 Pages
Lecture Notes Statistical Mechanics
This note describes the following topics Thermodynamics, Summary of probability theory, Equilibrium statistical mechanics, Ideal gases, Interacting systems and phase transitions, Density matrix and áuctuation dissipation theorem, Brownian motion and stochastic dynamics, Boltzmann transport equation.
Author(s): Jorg Schmalian
121 Pages
Elementary Principles In Statistical Mechanics
This book explains the following topics General Notions, The Principle Of Conservation Of Extensioninphase, Thermodynamic Analogies, Application Of the Principle Of Conservation Of Extensioninphase To The Theory Of Errors, Average Values in A Canonical Ensemble Of Systems, Extensioninconfiguration and Extensioninvelocity.
Author(s): J. Willard Gibbs
273 Pages
Statistical Mechanics A short treatise
This book is written by Giovanni Gallavotti and a clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmanns works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.
Author(s): Giovanni Gallavotti
358 Pages
This note covers the following topics The Canonical Ensemble, Extensive and intensive variables, The example of a perfect gas, Thermodynamics, The Grand Canonical Ensemble, The Degenerate Fermi Gas, Reminder of Classical Mechanics and Classical Statistical Physics.
Author(s): Prof. R.R. Horgan
53 Pages
