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phys212syl - † denotes topics that may be omitted 1 Basic...

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Physics 212: Statistical mechanics II, Fall 2006 Course information sheet Website : http://socrates.berkeley.edu/˜jemoore/p212/phys212.html Instructor Joel Moore 549 Birge Hall (510)642-8313 [email protected] Lectures: TuTh 9:30-11:00, 385 LeConte Hall Office hours: Tu 1:30-2:30, 549 Birge Hall Tentative syllabus The first one-third to one-half of the course will cover strong and weak nonequilibrium statis- tical physics. The second part will cover the modern theory of scaling in statistical physics (the “renormalization group”), applied to understand continuous phase transitions. At the end of the course, we will discuss a few other topics if time permits. Most of the grade will be determined by problem sets assigned roughly every two weeks. Details of a midterm exam or take-home exam will be determined later; there will be no exam during the final exam period. The prerequistes are a strong undergraduate background in statistical physics and quantum mechanics; Phys 211 is helpful but not required. In the following,
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Unformatted text preview: † denotes topics that may be omitted. 1. Basic methods of nonequilibrium statistical mechanics • Phenomenological derivation of Boltzmann equation and normal hydrodynamics • BBGKY hierarchy • Relationship between chaos and hydrodynamics • Linear response and fluctuation-dissipation theorem: classical and quantum versions, including applications such as the Kubo formula • Detailed balance • Model dynamics and Monte Carlo simulations 2. Introduction to scaling, renormalization group, and critical phenomena • Basic phenomenology of critical points: critical exponents and amplitudes • Mean-field theory • Elementary real-space and momentum-shell RG methods • Universality and other predictions of RG • Geometric critical phenomena: polymer physics • † Mapping between quantum and classical phase transitions • Dynamics at phase transitions 3. Other applications of RG and nonequilibrium ideas to classical and quantum physics....
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