Home > Mathematics and Science Textbooks > Physics > Statistical physics > A Modern Course in Statistical Physics
29%
A Modern Course in Statistical Physics

A Modern Course in Statistical Physics

          
5
4
3
2
1

Out of Stock


Premium quality
Premium quality
Bookswagon upholds the quality by delivering untarnished books. Quality, services and satisfaction are everything for us!
Easy Return
Easy return
Not satisfied with this product! Keep it in original condition and packaging to avail easy return policy.
Certified product
Certified product
First impression is the last impression! Address the book’s certification page, ISBN, publisher’s name, copyright page and print quality.
Secure Checkout
Secure checkout
Security at its finest! Login, browse, purchase and pay, every step is safe and secured.
Money back guarantee
Money-back guarantee:
It’s all about customers! For any kind of bad experience with the product, get your actual amount back after returning the product.
On time delivery
On-time delivery
At your doorstep on time! Get this book delivered without any delay.
Notify me when this book is in stock
Add to Wishlist

About the Book

Going beyond traditional textbook topics, 'A Modern Course in Statistical Physics' incorporates contemporary research in a basic course on statistical mechanics. From the universal nature of matter to the latest results in the spectral properties of decay processes, this book emphasizes the theoretical foundations derived from thermodynamics and probability theory underlying all concepts in statistical physics. This completely revised and updated third edition continues the comprehensive coverage of numerous core topics and special applications, allowing professors flexibility in designing individualized courses. The inclusion of advanced topics and extensive references makes this an invaluable resource for researchers as well as students -- a textbook that will be kept on the shelf long after the course is completed.

Table of Contents:
Preface to the Third Edition xiii Preface to the First Edition xv 1 Introduction 1 2 Complexity and Entropy 5 2.1 Introduction 5 2.2 Counting Microscopic States 5 2.3 Multiplicity and Entropy of Macroscopic Physical States 9 2.4 Multiplicity and Entropy of a Spin System 10 2.4.1 Multiplicity of a Spin System 10 2.4.2 Entropy of Spin System 11 2.4.2.1 Entropy and Fluctuations About Equilibrium 12 2.4.2.2 Entropy and Temperature 12 2.5 Multiplicity and Entropy of an Einstein Solid 14 2.5.1 Multiplicity of an Einstein Solid 15 2.5.2 Entropy of the Einstein Solid 15 2.6 Multiplicity and Entropy of an Ideal Gas 16 2.6.1 Multiplicity of an Ideal Gas 17 2.6.2 Entropy of an Ideal Gas 18 2.7 Problems 19 3 Thermodynamics 21 3.1 Introduction 21 3.2 Energy Conservation 23 3.3 Entropy 24 3.3.1 Carnot Engine 24 3.3.2 The Third Law 28 3.4 Fundamental Equation of Thermodynamics 29 3.5 Thermodynamic Potentials 32 3.5.1 Internal Energy 33 3.5.2 Enthalpy 34 3.5.3 Helmholtz Free Energy 35 3.5.4 Gibbs Free Energy 37 3.5.5 Grand Potential 38 3.6 Response Functions 40 3.6.1 Thermal Response Functions (Heat Capacity) 40 3.6.2 Mechanical Response Functions 42 3.7 Stability of the Equilibrium State 45 3.7.1 Conditions for Local Equilibrium in a PVT System 45 3.7.2 Conditions for Local Stability in a PVT System 46 3.7.3 Implications of the Stability Requirements for the Free Energies 50 3.7.4 Correlations Between Fluctuations 52 3.8 Cooling and Liquefaction of Gases 55 3.9 Osmotic Pressure in Dilute Solutions 58 3.10 The Thermodynamics of Chemical Reactions 61 3.10.1 The Affinity 62 3.11 Problems 67 4 The Thermodynamics of Phase Transitions 75 4.1 Introduction 75 4.2 Coexistence of Phases: Gibbs Phase Rule 76 4.3 Classification of Phase Transitions 77 4.4 Classical Pure PVT Systems 79 4.4.1 Phase Diagrams 79 4.4.2 Coexistence Curves: Clausius–Clapeyron Equation 80 4.4.3 Liquid–Vapor Coexistence Region 83 4.4.3.1 Lever Rule 84 4.4.3.2 Law of Corresponding States 84 4.4.3.3 Response Functions in the Coexistence Region 85 4.4.4 The van der Waals Equation 87 4.4.5 Steam Engines – The Rankine Cycle 90 4.5 Binary Mixtures 93 4.5.1 Equilibrium Conditions 94 4.6 The Helium Liquids 96 4.6.1 Liquid He 4 97 4.6.1.1 Thermomechanical Effect 97 4.6.2 Liquid He 3 99 4.6.3 Liquid He 3 –He 4 Mixtures 100 4.7 Superconductors 101 4.8 Ginzburg–Landau Theory 104 4.8.1 Theoretical Background 105 4.8.2 Applications of Ginzburg–Landau Theory 108 4.8.2.1 Superfluids 108 4.8.2.2 The Curie Point 108 4.8.2.3 Superconductors 109 4.9 Critical Exponents 110 4.9.1 Definition of Critical Exponents 110 4.9.2 The Critical Exponents for Pure PVT Systems 111 4.9.3 The Critical Exponents for the Curie Point 113 4.9.4 The Critical Exponents for Mean Field Theories 114 4.10 Problems 116 5 Equilibrium Statistical Mechanics I – Canonical Ensemble 121 5.1 Introduction 121 5.2 Probability Density Operator-Canonical Ensemble 123 5.2.1 Energy Fluctuations 124 5.3 Semiclassical Ideal Gas of Indistinguishable Particles 125 5.3.1 Approximations to the Partition Function for Semiclassical Ideal Gases 126 5.3.2 Maxwell–Boltzmann Distribution 129 5.4 Interacting Classical Fluids 131 5.4.1 Density Correlations and the Radial Distribution Function 132 5.4.2 Magnetization Density Correlations 134 5.5 Heat Capacity of a Debye Solid 135 5.6 Order–Disorder Transitions on Spin Lattices 139 5.6.1 Exact Solution for a One-Dimensional Lattice 140 5.6.2 Mean Field Theory for a d-Dimensional Lattice 142 5.6.3 Mean Field Theory of Spatial Correlation Functions 145 5.6.4 Exact Solution to Ising Lattice for d = 2 146 5.7 Scaling 148 5.7.1 Homogeneous Functions 148 5.7.2 Widom Scaling 149 5.7.3 Kadanoff Scaling 152 5.8 Microscopic Calculation of Critical Exponents 155 5.8.1 General Theory 156 5.8.2 Application to Triangular Lattice 158 5.8.3 The S 4 Model 161 5.9 Problems 163 6 Equilibrium Statistical Mechanics II – Grand Canonical Ensemble 167 6.1 Introduction 167 6.2 The Grand Canonical Ensemble 168 6.2.1 Particle Number Fluctuations 169 6.2.2 Ideal Classical Gas 170 6.3 Virial Expansion for Interacting Classical Fluids 172 6.3.1 Virial Expansion and Cluster Functions 172 6.3.2 The Second Virial Coefficient, B 2 (T) 174 6.3.2.1 Square-Well Potential 175 6.3.2.2 Lennard-Jones 6–12 Potential 176 6.4 Black Body Radiation 178 6.5 Ideal Quantum Gases 181 6.6 Ideal Bose–Einstein Gas 183 6.6.1 Bose–Einstein Condensation 187 6.6.2 Experimental Observation of Bose–Einstein Condensation 189 6.7 Ideal Fermi–Dirac Gas 191 6.8 Momentum Condensation in an Interacting Fermi Fluid 197 6.9 Problems 204 7 Brownian Motion and Fluctuation–Dissipation 207 7.1 Introduction 207 7.2 Brownian Motion 208 7.2.1 Langevin Equation 209 7.2.2 Correlation Function and Spectral Density 210 7.3 The Fokker–Planck Equation 212 7.3.1 Probability Flow in Phase Space 214 7.3.2 Probability Flow for Brownian Particle 214 7.3.3 The Strong Friction Limit 217 7.3.3.1 Spectral Decomposition of the Fokker–Planck Equation 218 7.4 Dynamic Equilibrium Fluctuations 221 7.4.1 Regression of Fluctuations 223 7.4.2 Wiener–Khintchine Theorem 225 7.5 Linear Response Theory and the Fluctuation – Dissipation Theorem 226 7.5.1 Linear Response Theory and the Fluctuation – Dissipation Theorem 227 7.5.2 Causality 228 7.5.2.1 Piece-Wise Constant Force 230 7.5.3 The Fluctuation–Dissipation Theorem 231 7.5.4 Power Absorption 233 7.5.4.1 Delta Function Force 234 7.5.4.2 Oscillating Force 234 7.6 Microscopic Linear Response Theory 235 7.6.1 The Perturbed Density Operator 235 7.6.2 The Electric Conductance 236 7.6.3 Power Absorption 241 7.6.4 Thermal Noise 242 7.7 Problems 243 8 Hydrodynamics 247 8.1 Introduction 247 8.2 Navier–Stokes Hydrodynamic Equations 248 8.2.1 Balance Equations 248 8.2.1.1 Mass Density Equations 250 8.2.1.2 Momentum Balance Equation 250 8.2.1.3 Energy and Entropy Balance Equations 252 8.2.2 Entropy Source and Entropy Current 253 8.2.3 Transport Coefficients 257 8.3 Linearized Hydrodynamic Equations 260 8.3.1 Linearization of the Hydrodynamic Equations 260 8.3.2 Transverse Hydrodynamic Modes 264 8.3.3 Longitudinal Hydrodynamic Modes 265 8.3.4 Dynamic Correlation Function and Spectral Density 267 8.4 Light Scattering 268 8.4.1 Scattered Electric Field 270 8.4.2 Intensity of Scattered Light 272 8.5 Hydrodynamics of Mixtures 274 8.5.1 Entropy Production in Multicomponent Systems 275 8.5.2 Fick’s Law for Diffusion 277 8.5.3 Thermal Diffusion 279 8.6 Thermoelectricity 280 8.6.1 The Peltier Effect 280 8.6.2 The Seebeck Effect 282 8.6.3 Thomson Heat 284 8.7 Superfluid Hydrodynamics 284 8.7.1 Superfluid Hydrodynamic Equations 284 8.7.2 Sound Modes 288 8.8 Problems 291 9 Transport Coefficients 295 9.1 Introduction 295 9.2 Elementary Transport Theory 295 9.2.1 The Mean Free Path 296 9.2.2 The Collision Frequency 296 9.2.3 Tracer Particle Current 298 9.2.4 Transport of Molecular Properties 300 9.2.5 The Rate of Reaction 301 9.3 The Boltzmann Equation 303 9.3.1 Derivation of the Boltzmann Equation 304 9.4 Linearized Boltzmann Equation 304 9.4.1 Kinetic Equations for a Two-Component Gas 305 9.4.2 Collision Operators 306 9.5 Coefficient of Self-Diffusion 308 9.5.1 Derivation of the Diffusion Equation 308 9.5.2 Eigenfrequencies of the Lorentz–Boltzmann Equation 309 9.6 Coefficients of Viscosity and Thermal Conductivity 311 9.6.1 Derivation of the Hydrodynamic Equations 311 9.6.2 Eigenfrequencies of the Boltzmann Equation 315 9.6.3 Shear Viscosity and Thermal Conductivity 317 9.7 Computation of Transport Coefficients 318 9.7.1 Sonine Polynomials 319 9.7.2 Diffusion Coefficient 319 9.7.3 Thermal Conductivity 321 9.7.4 Shear Viscosity 323 9.8 Problems 324 10 Nonequilibrium Phase Transitions 327 10.1 Introduction 327 10.2 Near Equilibrium Stability Criteria 328 10.3 The Chemically Reacting Systems 330 10.3.1 The Brusselator – A Nonlinear Chemical Model 330 10.3.2 Boundary Conditions 332 10.3.2.1 Case I Boundary Conditions 332 10.3.2.2 Case II Boundary Conditions 332 10.3.3 Stability Analysis 333 10.3.3.1 Real Frequency ω(k) 334 10.3.3.2 Complex Frequency ω(k) 334 10.3.4 Chemical Crystals 335 10.4 The Rayleigh–Bénard Instability 337 10.4.1 Hydrodynamic Equations and Boundary Conditions 337 10.4.1.1 Rigid Surface Boundary Conditions 339 10.4.1.2 Smooth Surface Boundary Conditions 339 10.4.2 Linear Stability Analysis 340 10.5 Problems 343 Appendix A Probability 345 A.1 Definition of Probability 345 A.2 Probability Distribution Functions 347 A.2.1 Discrete Stochastic Variables 348 A.2.2 Continuous Stochastic Variables 348 A.2.3 Characteristic Function 349 A.2.4 Jointly Distributed Stochastic Variables 350 A.3 Binomial Distributions 351 A.3.1 The Binomial Distribution 351 A.3.2 The Gaussian (or Normal) Distribution 353 A.3.3 The Poisson Distribution 356 A.4 Markov Chains 358 A.5 Probability Density for Classical Phase Space 359 A.6 Quantum Probability Density Operator 363 A.7 Problems 366 Appendix B Exact Differentials 369 Appendix C Ergodicity 373 Appendix D Number Representation 377 D. 1 The Number Representation 383 D. 1. 1 The Number Representation for Bosons 383 D.1. 2 The Number Representation for Fermions 385 D.1. 3 Thermodynamic Averages of Quantum Operators 387 Appendix E Scattering Theory 389 Appendix F Useful Mathematics and Information 395 F. 1 Series Expansions 395 F. 2 Reversion of Series 395 F. 3 Derivatives 395 F. 4 Integrals 395 References 397 Index 403


Best Sellers


Product Details
  • ISBN-13: 9783527407828
  • Publisher: Wiley-VCH Verlag GmbH
  • Publisher Imprint: Blackwell Verlag GmbH
  • Depth: 25
  • Height: 241 mm
  • No of Pages: 427
  • Series Title: English
  • Weight: 816 gr
  • ISBN-10: 3527407820
  • Publisher Date: 24 Jun 2009
  • Binding: Paperback
  • Edition: 3 REV UPD
  • Language: English
  • Returnable: N
  • Spine Width: 20 mm
  • Width: 173 mm


Similar Products

How would you rate your experience shopping for books on Bookswagon?

Add Photo
Add Photo

Customer Reviews

REVIEWS           
Click Here To Be The First to Review this Product
A Modern Course in Statistical Physics
Wiley-VCH Verlag GmbH -
A Modern Course in Statistical Physics
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

A Modern Course in Statistical Physics

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book
    Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!
    ASK VIDYA