Statistical mechanics :lecture notes /

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"Version: 20190701"--Title page verso.Includes bibliographical references.1. Review of thermodynamics -- 1.1. Introduction : statistical physics and thermodynamics -- 1.2. The 2nd law of thermodynamics, entropy, and temperature -- 1.3. The 1st and 3rd laws of thermodynamics, and heat capacity -- 1.4. Thermodynamic potentials -- 1.5. Systems with variable number of particles -- 1.6. Thermal machines -- 1.7. Problems2. Principles of physical statistics -- 2.1. Statistical ensembles and probability -- 2.2. Microcanonical ensemble and distribution -- 2.3. Maxwell's Demon, information, and computation -- 2.4. Canonical ensemble and the Gibbs distribution -- 2.5. Harmonic oscillator statistics -- 2.6. Two important applications -- 2.7. Grand canonical ensemble and distribution -- 2.8. Systems of independent particles -- 2.9. Problems3. Ideal and not-so-ideal gases -- 3.1. Ideal classical gas -- 3.2. Calculating [mu] -- 3.3. Degenerate Fermi gas -- 3.4. Bose-Einstein condensation -- 3.5. Gases of weakly interacting particles -- 3.6. Problems4. Phase transitions -- 4.1. First-order phase transitions -- 4.2. Continuous phase transitions -- 4.3. Landau's mean-field theory -- 4.4. Ising model : the Weiss' molecular-field theory -- 4.5. Ising model : exact and numerical results -- 4.6. Problems5. Fluctuations -- 5.1. Characterization of fluctuations -- 5.2. Energy and the number of particles -- 5.3. Volume and temperature -- 5.4. Fluctuations as functions of time -- 5.5. Fluctuations and dissipation -- 5.6. The Kramers problem and the Smoluchowski equation -- 5.7. The Fokker-Planck equation -- 5.8. Back to the correlation function -- 5.9. Problems6. Elements of kinetics -- 6.1. The Liouville theorem and the Boltzmann equation -- 6.2. The Ohm law and the Drude formula -- 6.3. Electrochemical potential and the drift-diffusion equation -- 6.4. Charge carriers in semiconductors -- 6.5. Heat transfer and thermoelectric effects -- 6.6. ProblemsAppendices. A. Selected mathematical formulas -- B. Selected physical constants.Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture notes and Problems with solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors. This volume, Statistical Mechanics: Lecture notes, is intended to be the basis for a one-semester graduate-level course on thermodynamics and statistical mechanics. The structure of the course is mostly traditional, besides that due to the current interest in nanoscale systems and ultrasensitive physical measurements, large attention is given to classical and quantum fluctuations of various physical variables. A brief introduction to physics kinetics is also included.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Konstantin K. Likharev received his PhD from the Lomonosov Moscow State University, USSR in 1969, and a habilitation degree of Doctor of Sciences from USSR's High Attestation Committee in 1979. From 1969 to 1990 Dr. Likharev was a Staff Scientist of Moscow State University. In 1991 he assumed a Professorship at Stony Brook University (Distinguished Professor since 2002, John S. Toll Professor since 2017). During his research career, Dr. Likharev worked in the fields of nonlinear classical and dissipative quantum dynamics, and solid-state physics and electronics, notably including superconductor electronics and nanoelectronics--most recently, with applications to neuromorphic networks. Dr. Likharev has authored more than 250 original publications, over 80 review papers and book chapters, two monographs and several patents. Dr. Likharev is a Fellow of the APS and IEEE.Title from PDF title page (viewed on August 15, 2019).

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: .,

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1 online resource (various pagings) :illustrations (some color).

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English

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530.13

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Statistical mechanics.
Statistical physics.
SCIENCE / Mechanics / Thermodynamics.

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Konstantin K. Likharev.

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