**Preface**
Ch.1 **
Fundamentals of Thermodynamics**
1.1 Introduction
1.2 Functions of Two Variables
1.3 Zeroth Law and First Law of Thermodynamics
1.4 Atmospheric Pressure at Different Heights**
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1.5 Entropy and Second Law of Thermodynamics**
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1.6 Reversible and Irreversible Processes
1.7 Helmholtz and Gibbs Free Energies
1.8 Vapor Pressure of Liquids**
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1.9 Vapor Pressure of Small Liquid Drops
1.10 Simple Kinetic Theory of Monatomic Gas
1.11 Real Gas and Van der Waals Equation of State
1.12 Euler's Theorem for Homogeneous Functions
1.13 Ideal Gas Mixtures and Chemical Potential
1.14 Chemical Equilibrium**
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1.15 Compressibility and Thermal Expansion Coefficients**
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1.16 PROBLEMS
Ch.2 **
Statistical Ensembles**
2.1 Binomial Coefficients
2.2 Gaussian Distribution Functions
2.3 Method of Lagrange Multipliers
2.4 Canonical Ensemble**
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2.5 Fluctuations in Canonical Ensemble**
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2.6 Microcanonical Ensemble
2.7 Third Law of Thermodynamics
2.8 Vibration and Rotation in Diatomic Gases**
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2.9 Quantum Oscillator
2.10 Rotations of Diatomic Molecules
2.11 Ortho- and Para-Hydrogen
2.12 Chemical Potential and Chemical Equilibrium
2.13 Momentum Distribution in Ideal Gases
2.14 Equation of Continuity in Fluids**
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2.15 Phase Space and Liouville Equation
2.16 Grand Canonical Ensemble**
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2.17 Surface Adsorption**
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2.18 PROBLEMS
Ch.3 **Quantum
Statistics**
3.1 Fermi-Dirac Statistics
3.2 Bose-Einstein Statistics
3.3 Validity of Boltzmann Distribution
3.4 Partition Functions in Quantum Statistics**
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3.5 Planck's Law of Radiation**
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3.6 Debye Heat Capacity of Solids
3.7 Atomic Vibrations in Solids
3.8 Normal Phase of Bose Gas**
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3.9 Bose Condensation
3.10 Dense Fermi Gas at Zero Temperature
3.11 Dense Fermi Gas at Finite Temperature
3.12 White Dwarf Stars as Fermi Gas
3.13 PROBLEMS
Ch.4 **Real
Gases & Liquids**
4.1 Corrections to Ideal Gas Law
4.2 Radial Distribution Function
4.3 Convolution Integral
4.4 Structures of Liquids and Solids**
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4.5 Fourier Series and Fourier Transform**
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4.6 Laplace Transform
4.7 Experimental Methods for Radial Distribution
Function
4.8 Perturbation Theory for Gases and Liquids**
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4.9 Osmotic Pressure of Solutions
4.10 Boiling Point and Freezing Point of Solutions
4.11 Gradient Operator
4.12 Poisson Equation in Electrostatics
4.13 Solutions of Strong Electrolytes
4.14 PROBLEMS |
Ch.5
**Magnetism**
5.1 Magnetic Ions and Paramagnetism
5.2 Exchange Interaction
5.3 Ferromagnetism
5.4 Antiferromagnetism and Ferrimagnetism**
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5.5 Magnons and Spin Waves**
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5.6 Antiferromagnetic Magnons
5.7 Paramagnetism in Metals
5.8 Ferromagnetism in Metals**
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5.9 Ising Ferromagnet
5.10 Ising Model of Binary Alloys
5.11 Matrices
5.12 Exact Solution of Ising Chain
5.13 PROBLEMSCh.6
**Dynamics**
6.1 Mean Free Path and Transport Properties
6.2 Fluid Dynamics
6.3 Brownian Motion
6.4 Time Correlation Function
6.5 Wiener-Khinchin Theorem**
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6.6 Reversible and Irreversible Processes
6.7 Inelastic Neutron Scattering
6.8 Photon Correlation Spectroscopy**
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6.9 Linear Response Theory
6.10 Dielectric Relaxation
6.11 Nuclear Magnetic Resonance (NMR)
6.12 First and Second Order Phase Transitions
6.13 NMR Study of Ferroelectrics
6.14 Atomic Diffusion in Solids**
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6.15 Melting of Solids**
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6.16 PROBLEMS
Ch.7 **
Polymers & Liquid Crystals**
7.1 Mathematics of Random Walk
7.2 Polymer Chains
7.3 Elasticity of Polymer Chains
7.4 Rubber Elasticity**
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7.5 Light Scattering**
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7.6 Polymer Chains under Compression
7.7 Polymer Solutions
7.8 Polyelectrolytes in Water**
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7.9 Biopolymers
7.10 Helix-Coil Transitions in Biopolymers
7.11 Polymer Dynamics
7.12 Liquid Crystals
7.13 PROBLEMS
Ch.8 **
Critical Phenomena**
8.1 Critical Exponents
8.2 Renormalization Group
8.3 PROBLEMS**
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Ch.9 **
Superfluids**
9.1 Liquid Helium
9.2 Two Fluid Model of Super fluids
9.3 Wave Functions of Liquid Helium-4
9.4 Bose Condensate in Superfluid**
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9.5 PROBLEMS
Ch.10 **
Chaos & Nonlinear Systems**
10.1 Bifurcation and Phase Transition
10.2 Population Analysis
10.3 Nonlinear Differential Equations
10.4 Nonlinear Diffusion Equations
10.5 Phase Trajectories
10.6 Instability in Heat Convection
10.7 Lorenz Equation and Strange Attractor
10.8 Soliton Waves**
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10.9 Plasma Waves and KdV Equation
10.10 Nonlinear Schrodinger Wave Equation
10.11 Proton Structure
10.12 PROBLEMS
Notation and System Units
References
Index |