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Statistical Mechanics 2Nd Edition 2022 at Meripustak

Statistical Mechanics 2Nd Edition 2022 by Kerson Huang, Wiley India

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  • General Information  
    Author(s)Kerson Huang
    PublisherWiley India
    ISBN9789354247736
    Pages576
    BindingPaperback
    LanguageEnglish
    Publish YearJanuary 2022

    Description

    Wiley India Statistical Mechanics 2Nd Edition 2022 by Kerson Huang

    Statistical Mechanics by Kerson Huang is a comprehensive textbook on the framework of statistical mechanics, in which the macroscopic thermodynamic behavior of complex systems is explained by the application of probability and statistics to the dynamics of their microscopic constituents. The book is directed mainly at advanced undergraduate physics majors, graduate students in physics, as well as researchers in the field. This adaptation of the second edition of the textbook is a revision that has been developed from detailed feedback obtained from long-standing users in India.

    About the Author
    Kerson Huang : - Massachusetts Institute of Technology

    TABLE OF CONTENTS

    Part A Thermodynamics and Kinetic Theory

    Chapter 1 Review of The Laws of Thermodynamics

    1.1 Preliminaries

    1.2 The First Law of Thermodynamics

    1.3 The Second Law of Thermodynamics

    1.4 Entropy

    1.5 Some Immediate Consequences of the Second Law

    1.6 Thermodynamic Potentials

    1.7 The Third Law of Thermodynamics

    1.8 Worked Problems

     

    Chapter 2 Some Applications of Thermodynamics

    2.1 Thermodynamic Description of Phase Transitions

    2.2 Surface Effects in Condensation

    2.3 Van Der Waals Equation of State

    2.4 Osmotic Pressure

    2.5 The Limit of Thermodynamics

    2.6 Worked Problems

     

    Chapter 3 The Problem of Kinetic Theory

    3.1 Formulation of the Problem

    3.2 Binary Collisions

    3.3 The Boltzmann Transport Equation

    3.4 The Gibbsian Ensemble

    3.5 Worked Problems

     

    Chapter 4 The Equilibrium State of A Dilute Gas

    4.1 Boltzmann’s H Theorem

    4.2 The Maxwell-Boltzmann Distribution

    4.3 The Method of the Most Probable Distribution

    4.4 Analysis of the H Theorem

    4.5 The Poincaré Cycle

    4.6 Worked Problems

     

    Chapter 5 Transport Phenomena

    5.1 The Mean Free Path

    5.2 Effusion

    5.3 The Conservation Laws

    5.4 Viscosity

    5.5 Viscous Hydrodynamics

    5.6 The Navier-Stokes Equation

    5.7 Examples in Hydrodynamics

    5.8 Worked Problems

     

    Part B Statistical Mechanics

    Chapter 6 Classical Statistical Mechanics

    6.1 The Postulate of Classical Statistical Mechanics

    6.2 Microcanonical Ensemble

    6.3 Derivation of Thermodynamics

    6.4 Equipartition Theorem

    6.5 Classical Ideal Gas

    6.6 Gibbs Paradox

    6.7 Worked Problems

     

    Chapter 7 Canonical Ensemble and Grand Canonical Ensemble

    7.1 Canonical Ensemble

    7.2 Classical Ideal Gas in the Canonical Ensemble

    7.3 Energy Fluctuations in the Canonical Ensemble

    7.4 Grand Canonical Ensemble

    7.5 Density Fluctuations in the Grand Canonical Ensemble

    7.6 The Chemical Potential

    7.7 Equivalence of the Canonical Ensemble and the Grand Canonical Ensemble

    7.8 Behavior of W (N)

    7.9 Worked Problems

     

    Chapter 8 Quantum Statistical Mechanics

    8.1 The Postulates of Quantum Statistical Mechanics

    8.2 Density Matrix

    8.3 Ensembles in Quantum Statistical Mechanics

    8.4 Third Law of Thermodynamics

    8.5 The Ideal Gases: Microcanonical Ensemble

    8.6 The Ideal Gases: Grand Canonical Ensemble

    8.7 Foundations of Statistical Mechanics

    8.8 Density of States

    8.9 Worked Problems

     

    Chapter 9 Fermi Systems

    9.1 The Equation of State of an Ideal Fermi Gas

    9.2 The Theory of White Dwarf Stars

    9.3 Landau Diamagnetism

    9.4 The De Haas-Van Alphen Effect

    9.5 The Quantized Hall Effect

    9.6 Pauli Paramagnetism

    9.7 Magnetic Properties of an Imperfect Gas

    9.8 Worked Problems

     

    Chapter 10 Bose Systems

    10.1 Photons

    10.2 Phonons in Solids

    10.3 Bose-Einstein Condensation

    10.4 An Imperfect Bose Gas

    10.5 The Superfluid Order Parameter

    10.6 Worked Problems

     

    Part C Special Topics in Statistical Mechanics

    Chapter 11 Superfluids

    11.1 Liquid Helium

    11.2 Tisza’s Two-Fluid Model

    11.3 The Bose-Einstein Condensate

    11.4 Landau’s Theory

    11.5 Superfluid Velocity

    11.6 Superfluid Flow

    11.7 The Phonon Wave Function

    11.8 Dilute Bose Gas

    11.9 Worked Problems

     

    Chapter 12 The Ising Model

    12.1 Definition of the Ising Model

    12.2 Equivalence of the Ising Model to other Models

    12.3 Spontaneous Magnetization

    12.4 The Bragg-Williams Approximation

    12.5 The Bethe-Peierls Approximation

    12.6 The One-Dimensional Ising Model

    12.7 Worked Problems

     

    Chapter 13 The Onsager Solution

    13.1 Formulation of the Two-Dimensional Ising Model

    13.2 Mathematical Digression

    13.3 The Solution

    13.4 Worked Problem

     

    Chapter 14 Critical Phenomena

    14.1 The Order Parameter

    14.2 The Correlation Function and the Fluctuation-Dissipation Theorem

    14.3 Critical Exponents

    14.4 The Scaling Hypothesis

    14.5 Scale Invariance

    14.6 Goldstone Excitations

    14.7 The Importance of Dimensionality

    14.8 Worked Problems

     

    Chapter 15 The Landau Approach

    15.1 The Landau Free Energy

    15.2 Mathematical Digression

    15.3 Derivation in Simple Models

    15.4 Mean-Field Theory

    15.5 The Van Der Waals Equation of State

    15.6 The Tricritical Point

    15.7 The Gaussian Model

    15.8 The Ginzburg Criterion

    15.9 Anomalous Dimensions

    15.10 Worked Problems

     

    Chapter 16 Renormalization Group

    16.1 Block Spins

    16.2 The One-Dimensional Ising Model

    16.3 Renormalization-Group Transformation

    16.4 Fixed Points and Scaling Fields

    16.5 Momentum-Space Formulation

    16.6 The Gaussian Model

    16.7 The Landau-Wilson Model

    16.8 Worked Problems

     

    Appendix A General Properties of The Partition Function

    A.1 The Darwin-Fowler Method

    A.2 Classical Limit of the Partition Function

    A.3 Singularities and Phase Transitions

    A.4 The Lee-Yang Circle Theorem

     

    Appendix B Approximate Methods

    B.1 Classical Cluster Expansion

    B.2 Quantum Cluster Expansion

    B.3 The Second Virial Coefficient

    B.4 Variational Principles

     

    Appendix C N-Body System of Identical Particles

    C.1 The Two Kinds of Statistics

    C.2 N-Body Wave Functions

    C.3 Method of Quantized Fields

    C.4 Longitudinal Sum Rules

     

    Appendix D Monte Carlo Simulations

    D.1 Introduction to Monte Carlo Methods

    D.2 Metropolis Algorithm for the Ising Model

    D.3 Metropolis Algorithm for Bose-Einstein Condensation

     

    Answer of MCQS

    Index