Technical Books

This note covers the following topics Recursion Method Concepts, Probability Intuition, Ambiguity, Absurdity and Puzzles, Elements of Probability Theory with Applications, Random Variables, Stochastic Processes, Brownian Motion, Linear Response and Equilibrium Dynamics, ZwanzigMori Formalism.

This note covers the following topics Equilibrium Thermodynamics Engines, Free Energies and Applications, Thermodynamics of Phase Transitions, Kinetic Theory, Microcanonical Ensemble, Canonical Ensemble, Grandcanonical Ensemble, Ideal Quantum Gases Bosons and Fermions.

The book is addressed to mathematicians physicists of any level. Topics covered includes The Ensemble of Microscopic Subsystems, Real gases, The Quantum Statistical Physics, Ensemble of microscopic subsystems, Quantum gases.

This note covers the following topics: Probability theory, The microcanonical ensemble, The canonical ensemble, The grandcanonical ensemble, Quantum fluids, Phase transitions, Thermodynamics, Dynamics.

This note explains the following topics: Thermodynamics, Introduction to Statistics, Statistical mechanics, Statistical mechanics of quantum systems, Phase transitions, Liouville�s theorem .

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.

This book focuses on some of the fundamental issues and general aspects related to nonequilibrium statistical mechanics.

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.

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.

This note describes the following topics Thermodynamics, Summary of probability theory, Equilibrium statistical mechanics, Ideal gases, Interacting systems and phase transitions, Density matrix and �uctuation dissipation theorem, Brownian motion and stochastic dynamics, Boltzmann transport equation.

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.

This page has PDF links to the following topics related to Statistical Physics : Introduction to Statistical Physics, Calculus, Probability, and Combinatorics, Entropy from Information, Laws of Thermodynamics, Free Energy and Order Parameters, Boltzmann Distribution and Partition Function, Statistical Physics of the Ideal Gas, Laplace�s Method and the Mean Field Ising Model, Model of Dimerization of Single-Stranded DNA, Simulations in Statistical Physics, Non-Equilibrium Statistical Physics.

Presented here is a transcription of the lecture notes from Professor Allan N. Kaufman s graduate statistical mechanics course Physics 212A and 212B at the University of California Berkeley from the 19721973 academic year. 212A addressed equilibrium statistical mechanics with topics fundamentals microcanonical and subcanonical ensembles, adiabatic law and action conservation, fluctuations, pressure and virial theorem, classical fluids and other systems equation of state, deviations from ideality, virial coefficients and van der Waals potential, canonical ensemble and partition function, quasistatic evolution, grandcanonical ensemble and partition function, chemical potential, simple model of a phase transition, quantum virial expansion, numerical simulation of equations of state and phase transition, chemical equilibrium systems with multiple species and chemical reactions, la.

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.

This note describes the following topics: Quantization, Photons, Free electrons, empty lattice approximation, Metals, Fermi surfaces, Metals, Fermi surfaces, plane wave method, tight binding, Graphene, carbon nanotubes, photoemission, Semiconductors, Free electrons in a magnetic field , Landau levels, Quantum Hall Effect, Landau levels, Linear response theory , Optical properties of insulators, Optical properties of metals, Boltzmann equation, Thermoelectric effects, Crystal physics, Structural phase transitions / electron screening, Single-electron effects, Hubbard model, Peierls transition , Landau's theory of a Fermi liquid, phonons, Ferroelectrics, piezoelectrics, Landau theory of phase transition, Superconductivitys.