In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
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 Appendix: Fourier methods
Prof. James P. Sethna is Professor of Physics, Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, NY.
Reviews for Statistical Mechanics: Entropy, Order Parameters and Complexity
`An extremely intelligent and elegant introduction to fundamental concepts, well suited for the beginning graduate level.' William Gelbart, University of California at Los Angeles