Thermal and statistical physics / R. B. Singh.

Format:

Book

Author/Creator:

Singh, R. B., author.

Language:

English

Subjects (All):

Statistical physics.

Thermodynamics.

Physical Description:

1 online resource (384 p.)

Edition:

1st ed.

Place of Publication:

Kent, [England] : New Academic Science Limited, 2013.

Language Note:

English

Summary:

Basic concepts and notions explained in a simple way A large number of solved examples provided Self-contained mathematical tools provided to understand concepts of statistical physics

Contents:

Cover

Preface

Contents

Part-1 Thermal Physics

Chapter 1 Kinetic Theory of Gases

1.1 Introduction

1.2 Fundamental Assumptions of Kinetic Theory of Ideal Gases

1.3 Molecular Flux

1.4 Pressure of Gas

1.5 Interpretation of Temperature

1.6 Deduction of Gas Laws

1.7 Avogadro's Law

1.8 Dalton's Law

1.9 Graham's Law of Diffusion

1.10 Maxwell's Law of Distribution of Molecular Speeds

1.11 Shape of Curve Representing Speed Distribution Function

1.12 Effect of Temperature on Speed Distribution Function

1.13 Most Probable Speed, Average Speed And Root Mean Square Speed

1.14 Experimental Verification of Maxwell's Distribution Law

1.15 Maxwell-Boltzmann Energy Distribution

1.16 Degrees of Freedom

1.17 Theorem of Equipartition of Energy

1.18 Application of Theorem of Equipartition of Energy Specific heat of Gases

1.19 Polyatomic Gas

Solved Examples

Questions and Problems

Chapter 2 Transport Phenomena

2.1 Mean Free Path

2.2 Survival Equation and Mean Free Path

2.3 Mean Distance Covered by a Molecule in a Given Direction After Last Collision

2.4 Transport Phenomena

Chapter 3 Equation of State for Gases

3.1 Introduction

3.2 Equation of an Ideal Gas

3.3 Behaviour of Real Gases

3.4 Andrews Experiment on Carbon Dioxide

3.5 Critical State

3.6 Two-Phase Region

3.7 Intermolecular Forces

3.8 Van der Waals Equation of State

3.9 Van Der Waals Isotherms

3.10 Critical Constants

3.11 Alternative Derivation for Critical Constants

3.12 Limitations of Van Der Waals Equation

3.13 Law of Corresponding States

3.14 Determination of Critical Constants

3.15 Some Other Equations of State

3.16 Virial Equation of States - Kammerlingh Onnes Equation

3.17 Boyle Temperature of a Van Der Waals Gas.

Solved Examples

Chapter 4 Zeroth Law of Thermodynamics: Preliminary Concepts

4.1 Introduction

4.2 Thermodynamic System and Surroundings

4.3 Thermodynamic Variables

4.4 Extensive and Intensive Variables

4.5 Thermal Equilibrium: Zeroth Law of Thermodynamics

4.6 Thermodynamic Equilibrium

4.7 Thermodynamic Process

4.8 Reversible and Irreversible Processes

4.9 Equation of State

4.10 Coefficient of Expansion (Expansivity)

4.11 Compressibility

4.12 Relation Between Partial Derivatives

Chapter 5 First Law of Thermodynamics

5.1 Internal Energy

5.2 Heat

5.3 Work

5.4 Work Done in Some Other Processes

5.5 Work Depends on Path

5.6 Cycle Process

5.7 First Law of Thermodynamics

5.8 Heat Capacity

5.9 Energy Equation and Difference of Heat Capacities

5.10 Adiabatic Transformation of an Ideal Gas

5.11 Work Done in Reversible Isothermal Expansion of Ideal Gas

5.12 Work Done In Reversible Adiabatic Expansion of An Ideal Gas

5.13 Work Done In Reversible Expansion of Van Der Waals Gas

5.14 Variation of Temperature with Height-Adiabatic Lapse Rate

5.15 Total (Exact or Perfect) Differential

Chapter 6 Heat Engines and Second Law of Thermodynamics

6.1 Introduction

6.2 Heat Engine

6.3 Efficiency of Heat Engine

6.4 Carnot's Ideal Heat Engine

6.5 Reversibility of Carnot Engine

6.6 Carnot Refrigerator

6.7 Heat Pump

6.8 Carnot Theorem

6.9 Thermodynamic or Absolute Scale of Temperature

6.10 Clausius -Clapeyron Latent Heat Equation (First Latent Heat Equation)

6.11 Specific Heat of Saturated Vapour (Second Latent Heat Equation)

Chapter 7 Entropy

7.1 Definition

7.2 Principle of Entropy Increase.

7.3 Entropy and Unavailable Energy

7.4 Change in Entropy in Heat Conduction or in Process of Equalization of Temperature

7.5 Calculation of Change in Entropy of a System in Reversible Process

7.6 Increase in Entropy in Irreversible Processes

7.7 Efficiency of Carnot Cycle From T-S Diagram

7.8 Entropy of an Ideal Gas

7.9 Statistical Interpretation of Entropy- Entropy and Disorder

Chapter 8 Thermodynamic Relations

8.1 Maxwell's Thermodynamic Relations

8.2 Tds Equations

8.3 Energy Equation

8.4 Heat Capacity Equations

8.5 Joule-Thomson or Joule-Kelvin Effect

8.6 Thermodynamics of Magnetic System Magneto-Caloric Effect

8.7 Thermodynamic Functions

8.8 Third Law of Thermodynamics Nernst's Heat Theorem

Chapter 9 Production of Low Temperature and Liquefaction of Gases

9.1 Introduction

9.2 Techniques of Producing Low Temperature

9.3 Adiabatic Demagnetization

9.4 Liquefaction of Gases

9.5 Matter at Very Low Temperature

9.6 Superconductivity

Questions

Chapter 10 Conduction of Heat

10.1 Introduction

10.2 Conduction and Conductivity

10.3 Variable and Steady State

10.4 Isothermal Surface

10.5 Coefficient of Thermal Conductivity

10.6 Thermal Resistance

10.7 Rectilinear Flow of Heat: Fourier Equation

10.8 Determination of Absolute Conductivity of a Metal Bar-Forbe's Method

10.9 Angstrom's Periodic Flow Method for Determination of Thermal Conductivity

10.10 Three Dimensional Flow of Heat

10.11 Radial Flow of Heat: Determination of K of Bad Conductor

10.12 Radial Flow of Heat in Cylindrical Shell

10.13 Determination of Thermal Conductivity of Rubber Given in the Form of Tube

10.14 Determination of K of Bad Conductor (Asbestos): Lee and Charlton Method.

10.15 Formation of Ice on the Surface of a Lake

10.16 Ingen Hausz Experiment

Chapter 11 Thermal Radiation

11.1 Introduction

11.2 Sources of Thermal Radiation

11.3 Radiation Detector - Thermopile

11.4 Nature of Thermal Radiation and Some of Its Properties

11.5 Some Fundamental Definitions

11.6 Energy Flux, Intensity and Radiant Emittance

11.7 Radiation in a Hollow Enclosure

11.8 An Ideal (Perfect) Black Body

11.9 Fery's Black Body

11.10 Wien's Black Body

11.11 Kirchhoff's Law

11.12 Relation Between Radiant Emittance R of A Surface and Energy Density

11.13 Radiation Pressure

11.14 Stefan-Boltzmann Law

11.15 Solar Constant (S)

11.16 Temperature of Sun

11.17 Distribution of Energy in Black Body Radiation

11.18 Wien's Displacement Law

11.19 Normal Modes (Standing Waves) in a Box

11.20 Rayleigh-Jeans Law

11.21 Planck's Radiation Law

11.22 Deduction of Stefan's Law From Planck's Law

11.23 Deduction of Wien's Displacement Law

11.24 Energy and Momentum of Photon

Part-2 Statistical Physics

Chapter 1 Preliminary Concepts

1.2 Maxwell-Boltzmann (M-B) Statistics

1.3 Bose-Einstein (B-E) Statistics

1.4 Fermi-Dirac (F-D) Statistics

1.5 Specification of the State of a System

1.6 Density of States

1.7 Macroscopic (Macro) State

1.8 Microscopic (Micro) State

Chapter 2 Phase Space

2.1 Phase Space

2.2 Density of States in Phase Space

Chapter 3 Ensemble Formulation of Statistical Mechanics

3.1 Ensemble

3.2 Density of Distribution in y-Space

3.3 Principle of Equal a Priori Probability

3.4 Ergodic Hypothesis

3.5 Liouville's Theorem

3.6 Statistical Equilibrium

3.7 Ensemble Formulation of Statistical Mechanics.

3.8 Average Energy of Particle

3.9 The Equipartition Theorem

Chapter 4 Thermodynamic Functions

4.1 Entropy

4.2 Entropy in Terms of Probability

4.3 Entropy in Terms of Partition Function

4.4 Free Energy

4.5 Helmholtz Free Energy in Terms of Partition Function

4.6 Thermodynamic Functions in Terms of Partition Function

Chapter 5 Distribution Laws

5.1 Maxwell-Boltzmann Distribution

5.2 Heat Capacity of an Ideal Gas

5.3 Maxwell's Speed Distribution

5.4 Fermi-Dirac Statistics

5.5 Bose-Einstein Statistics

Chapter 6 Applications of Quantum Statistics

6.1 Applications of Fermi-Dirac Statistics

6.2 Electronic Heat Capacity

6.3 Thermionic Emission (Richardson-Dushmann Equation)

6.4 Properties of Ideal Bose System

6.5 Energy of B-E Gas

6.6 Black Body Radiation: Plank's Radiation Law

6.7 Comparison of M-B, B-E and F-D Statistics

6.8 Validity Criterion for Classical Regime

Chapter 7 Partition Function

7.1 Canonical Partition Function

7.2 Classical Partition Function of a System Containing N Distinguishable Particles

7.3 Thermodynamic Functions of Monoatomic Gas

7.4 Gibbs Paradox

7.5 Indistinguishability of Particles and Symmetry of Wave Functions

7.6 Partition Function for Indistinguishable Particles

7.7 Molecular Partition Function

7.8 Partition Function and Thermodynamic Properties of Monoatomic Ideal Gas

7.9 Helmholtz Free Energy F

7.10 Rotational Partition Function

7.11 Vibrational Partition Function

7.12 Grand Canonical Ensemble and Grand Partition Function

7.13 Statistical Properties of a Thermodynamic System in Terms of Grand Partition Function

7.14 Grand Potential

7.15 Ideal Gas From Grand Partition Function

7.16 Occupation Number of an Energy State From Grand Partition Function: Fermi-Dirac and Bose-Einstein Distribution.

Chapter 8 Applications of Partition Function.

Notes:

Includes index.

Description based on online resource; title from PDF title page (ebrary, viewed September 8, 2015).

ISBN:

1-78183-046-0

OCLC:

932310689