Statistical mechanics : entropy, order parameters, and complexity
James P. Sethna.
Oxford ; New York : Oxford University Press, ©2006.
xix, 349 págs. : ilustraciones ; 26 cm.
Serie: Oxford master series in statistical, computational, and theoretical physicsaOxford master series in physics ; 14
ISBN: 019856676X (hbk.), 0198566778 (pbk.), 9780198566762, 9780198566779
Resumen: 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.
Incluye referencias bibliográficas (p. [313]-321) e índice.
Contenido
- What is statistical mechanics?
- Random walks with emergent properties.
- Temperature and equilibrium.
- Phase-space dynamics and ergodicity.
- Entropy.
- Free energies.
- Quantum statistical mechanics.
- Calculation and computation.
- Order parameters, broken symmetry, and topology.
- Correlations, response, and dissipation.
- Abrupt phase transitions.
- Continuous phase transitions.
- Appendix: Fourier methods.
