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**A Macroscopic View of Matter**

Viewing the World at Different Scales

Thermodynamics

The Thermodynamic Limit

Thermodynamic Transformations

Classic Ideal Gas

First Law of Thermodynamics

Magnetic Systems

**Heat and Entropy**

The Heat Equations

Applications to Ideal Gas

Carnot Cycle

Second Law of Thermodynamics

Absolute Temperature

Temperature as Integrating Factor

Entropy

Entropy of Ideal Gas

The Limits of Thermodynamics

**Using Thermodynamics**

The Energy Equation

Some Measurable Coefficients

Entropy and Loss

*TS *Diagram

Condition for Equilibrium

Helmholtz Free Energy

Gibbs Potential

Maxwell Relations

Chemical Potential

**Phase Transitions**

First-Order Phase Transition

Condition for Phase Coexistence

Clapeyron Equation

Van der Waals Equation of State

Virial Expansion

Critical Point

Maxwell Construction

Scaling

Nucleation and Spinodal Decomposition

**The Statistical Approach**

The Atomic View

Random Walk

Phase Space

Distribution Function

Ergodic Hypothesis

Statistical Ensemble

Microcanonical Ensemble

Correct Boltzmann Counting

Distribution Entropy: Boltzmann's *H *

The Most Probable Distribution

Information Theory: Shannon Entropy

**Maxwell-Boltzmann Distribution**

Determining the Parameters

Pressure of Ideal Gas

Equipartition of Energy

Distribution of Speed

Entropy

Derivation of Thermodynamics

Fluctuations

The Boltzmann Factor

Time's Arrow

**Transport Phenomena**

Collisionless and Hydrodynamic Regimes

Maxwell's Demon

Nonviscous Hydrodynamics

Sound Wave

Diffusion

Heat Conduction

Viscosity

Navier-Stokes Equation

**Canonical Ensemble**

Review of the Microcanonical Ensemble

Classical Canonical Ensemble

The Partition Function

Connection with Thermodynamics

Energy Fluctuations

Minimization of Free Energy

Classical Ideal Gas

**Grand Canonical Ensemble**

The Particle Reservoir

Grand Partition Function

Number Fluctuations

Connection with Thermodynamics

Parametric Equation of State and Virial Expansion

Critical Fluctuations

Pair Creation

**Noise**

Thermal Fluctuations

Nyquist Noise

Brownian Motion

Einstein's Theory

Diffusion

Einstein's Relation

Molecular Reality

Fluctuation and Dissipation

Brownian Motion of the Stock Market

**Stochastic Processes**

Randomness and Probability

Binomial Distribution

Poisson Distribution

Gaussian Distribution

Central Limit Theorem

Shot Noise

**Time-Series Analysis**

Ensemble of Paths

Ensemble Average

Power Spectrum and Correlation Function

Signal and Noise

Transition Probabilities

Markov Process

Fokker-Planck Equation

The Monte Carlo Method

Simulation of the Ising Model

**The Langevin Equation**

The Equation and Solution

Energy Balance

Fluctuation-Dissipation Theorem

Diffusion Coefficient and Einstein's Relation

Transition Probability: Fokker-Planck Equation

Heating by Stirring: Forced Oscillator in Medium

**Quantum Statistics**

Thermal Wavelength

Identical Particles

Occupation Numbers

Spin

Microcanonical Ensemble

Fermi Statistics

Bose Statistics

Determining the Parameters

Pressure

Entropy

Free Energy

Equation of State

Classical Limit

**Quantum Ensembles**

Incoherent Superposition of States

Density Matrix

Canonical Ensemble (Quantum-Mechanical)

Grand Canonical Ensemble (Quantum-Mechanical)

Occupation Number Fluctuations

Photon Bunching

**The Fermi Gas **

Fermi Energy

Ground State

Fermi Temperature

Low-Temperature Properties

Particles and Holes

Electrons in Solids

Semiconductors

**The Bose Gas**

Photons

Bose Enhancement

Phonons

Debye Specific Heat

Electronic Specific Heat

Conservation of Particle Number

**Bose-Einstein Condensation **

Macroscopic Occupation

The Condensate

Equation of State

Specific Heat

How a Phase Is Formed

Liquid Helium

**The Order Parameter**

The Essence of Phase Transitions

Ginsburg-Landau Theory

Relation to Microscopic Theory

Functional Integration and Differentiation

Second-Order Phase Transition

Mean-Field Theory

Critical Exponents

The Correlation Length

First-Order Phase Transition

Cahn-Hilliard Equation

**Superfluidity**

Condensate Wave Function

Spontaneous Symmetry Breaking

Mean-Field Theory

Observation of Bose-Einstein Condensation

Quantum Phase Coherence

Superfluid Flow

Phonons: Goldstone Mode

**Superconductivity **

Meissner Effect

Magnetic Flux Quantum

Josephson Junction

DC Josephson Effect

AC Josephson Effect

Time-Dependent Vector Potential

The SQUID

Broken Symmetry

**Appendix**

**Index**

*Problems appear at the end of each chapter.*

Kerson Huang is Professor of Physics, Emeritus at MIT. Since retiring from active teaching, Dr. Huang has been engaged in biophysics research.

! suitable for advanced engineering study in an engineering or physics curriculum. ! The problems at the end of each chapter and the discussion of applications will help students grasp many difficult concepts. ! very readable and should be considered for an undergraduate program or by people wanting to learn about statistical physics. --IEEE Electrical Insulation Magazine, Vol. 27, No. 3, May/June 2011

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