Introduction to Statistical Physics

João Paulo Casquilho; Paulo Ivo Cortez Teixeira

doi:10.1017/CBO9781107284180

Rigorous and comprehensive, this textbook introduces undergraduate students to simulation methods in statistical physics. The book covers a number of topics, including the thermodynamics of magnetic and electric systems; the quantum-mechanical basis of magnetism; ferrimagnetism, antiferromagnetism, spin waves and magnons; liquid crystals as a non-ideal system of technological relevance; and diffusion in an external potential. It also covers hot topics such as cosmic microwave background, magnetic cooling and Bose–Einstein condensation. The book provides an elementary introduction to simulation methods through algorithms in pseudocode for random walks, the 2D Ising model, and a model liquid crystal. Any formalism is kept simple and derivations are worked out in detail to ensure the material is accessible to students from subjects other than physics.

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Contents

Frontmatter
pp i-iv
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Dedication
pp v-vi
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Contents
pp vii-xii
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Preface
pp xiii-xiv
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Acknowledgements
pp xv-xvi
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1 - Random walks
pp 1-31
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2 - Review of thermodynamics
pp 32-47
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3 - The postulates of statistical physics. Thermodynamic equilibrium
pp 48-81
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4 - Statistical thermodynamics: developments and applications
pp 82-115
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5 - The classical ideal gas
pp 116-148
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6 - The quantum ideal gas
pp 149-187
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7 - Magnetism
pp 188-219
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8 - The Ising model
pp 220-238
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9 - Liquid crystals
pp 239-268
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10 - Phase transitions and critical phenomena
pp 269-297
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11 - Irreversible processes
pp 298-321
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Appendix A - Values of some fundamental physical constants
pp 322-322
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Appendix B - Some useful unit conversions
pp 323-323
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Index
pp 324-331
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Introduction to Statistical Physics

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-xii

Preface
pp xiii-xiv

Acknowledgements
pp xv-xvi

1 - Random walks
pp 1-31

2 - Review of thermodynamics
pp 32-47

3 - The postulates of statistical physics. Thermodynamic equilibrium
pp 48-81

4 - Statistical thermodynamics: developments and applications
pp 82-115

5 - The classical ideal gas
pp 116-148

6 - The quantum ideal gas
pp 149-187

7 - Magnetism
pp 188-219

8 - The Ising model
pp 220-238

9 - Liquid crystals
pp 239-268

10 - Phase transitions and critical phenomena
pp 269-297

11 - Irreversible processes
pp 298-321

Appendix A - Values of some fundamental physical constants
pp 322-322

Appendix B - Some useful unit conversions
pp 323-323

Index
pp 324-331

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Introduction to Statistical Physics

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