Statistical mechanics entropy order parameters and complexity 2nd Edition by James P Sethna ISBN 9780198865247 0198865244

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Product details:

ISBN 10: 0198865244

ISBN 13: 9780198865247

Author: James P. Sethna

 The second edition of Statistical Mechanics: Entropy, Order Parameters, and Complexity features over a hundred new exercises, plus refinement and revision of many exercises from the first edition. The main chapters are largely unchanged, except for a refactoring of my discussion of the renormalization group in Chapter 12. Indeed, the chapters are designed to be the stable kernel of their topics, while the exercises cover the growing range of fascinating applications and implications of statistical mechanics.
This book reflects “flipped classroom” innovations, which I have found to be remarkably effective. I have identified a hundred pre-class ques-tions and in-class activities, the former designed to elucidate and rein-force sections of the text, and the latter designed for group collaboration. These are denoted with the symbols and @, in an extension of the difficulty rating 1-5 used in the first edition. Human correlations, Fingerprints, and Crackling noises are some of my favorite activities. These exercises, plus a selection of less-specialized longer exercises, form the core of the undergraduate version of my course.
Extensive online material [182] is now available for the exercises. Mathematica and python notebooks provide hints for almost fifty com-putational exercises, allowing students to tackle serious new research topics like Conformal invariance, Subway bench Monte Carlo, and 2D turbulence and Jupiter’s great red spot, while getting exposed to good programming practices. Handouts and instructions facilitate activities such as Pentagonal frustration and Hearing chaos. The answer key for the exercises now is polished enough that I regret not being able to share it with any but those teaching the course.
Finally, the strength of the first edition was in advanced exercises, which explored in depth the subtleties of statistical mechanics and the broad range of its application to various fields of science. Many sub-stantive exercises continue this trend, such as Nucleosynthesis and the arrow of time, Word frequencies and Zipf’s law, Pandemic, and Kinetic proofreading in cells.

Table of contents:

 1 What is statistical mechanics? 

2 Random walks and emergent properties 

3 Temperature and equilibrium 

4 Phase-space dynamics and ergodicity 

5 Entropy 

6 Free energies 

7 Quantum statistical mechanics 

8 Calculation and computation 

9 Order parameters, broken symmetry, and topology 

10 Correlations, response, and dissipation 

11 Abrupt phase transitions 

12 Continuous phase transitions 

Fourier methods 

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Tags: James P Sethna, Statistical Mechanics, Entropy, Order Parameters, Complexity