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Statistical Physics

Code 14910
Year 3
Semester S1
ECTS Credits 6
Workload TP(60H)
Scientific area Physics
Entry requirements None
Learning outcomes - To acquire a global perspective of the development of the field of statistical physics.
- To understand the foundations of statistical physics and its typical applications.
Syllabus 1. Foundations of statistical physics
Microstates, macrostates
Phase space and statistical distribution
Entropy and the second law of Thermodynamics
Ensembles and postulates
2. Elementary kinetic theory and transport phenomena
Molecular flux
Ideal gas: equation of state
Specific heat of gases and solids
Mean free path and transport coefficients
3. Classical statistics and ideal gas
Maxwell-Boltzmann distribution
Gibbs distribution
Equipartition of energy
Monoatomic ideal gas
Polyatomic ideal gas
4. Statistical distributions
Bose-Einstein statistics and distribution
Fermi-Dirac statistics and distribution
Classical statistics and distribution
5. Quantum systems
Statistics and thermodynamics of the quantum harmonic oscillator
Black body radiation
Fonons: Specific heat of solids revisited
Boson gas
Fermion gas
6. Introduction to phase transitions and critical phenomena
Phase transitions
Order parameter and critical exponents
Magnetic systems
1-dimensional Ising model
Main Bibliography 1. Callen HB (1985). Thermodynamics and an Introduction to Thermostatistics, 2nd ed. New York: John Wiley & Sons
2. Casquilho JP, Teixeira PIC (2011). Introdução à Física Estatística. Lisboa: IST Press
3. Roy BN (2002). Fundamentals of Classical and Statistical Thermodynamics. New York: John Wiley & Sons
4. Sears FW, Salinger GL (1979). Termodinâmica, Teoria Cinética e Termodinâmica Estatística. Rio de Janeiro: Guanabara Dois
5. Seddon JM, Gale JD (2001). Thermodynamics and Statistical Mechanics. Cambridge: The Royal Society of Chemistry
Teaching Methodologies and Assessment Criteria Mixed theory and problem solving sessions – the theoretical contents are presented and immediately illustrated by means of examples, allowing the clarification of concepts, methods and results. Besides written tests, evaluation is based on projects developed by the students.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2023-10-16

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