Week plan
- Mon: Weekly exercise and last weeks exercise solution published
- Mon 12:15, : Lecture, Store Fy
- Tue 14:15, : Seminar, Tellefsens tårn
- Wed 14:15, : Group session, Ø397
- The 12:15, : Oracle session: Problem solving with teaching assistants, Tellefsens tårn
- Fri 12:15, : Group session, Ø397
W35 Basics of thermal physics and the arrow of time
- Book and compendium chapters
- Sch: 1.1-1.7
- Comp: 1, 2
- Basic concepts: Energy, heat, work, heat -capacity, -radiation, -conduction, diffusion, temperature, entropy, irreversibility, arrow of time
- Lectures
- Lecture 1, Mon 25 Aug, Dag:
- phase equilibrium & phase transitions
- heat of melting & condensation
- Thermal concepts inventory
- Veritasium: What do we get from the sun?
- Seminar-Lecture 2, Tue 26 Aug, Dag:
- arrow of time
- demo experiment: heat conduction
- simulations (algorithmic & MD): heat conduction
- phenomenological theory of heat conduction & diffusion
- Comments on answers to Thermal concepts inventory
W36 Multiplicity, probability & statistics
- Book and compendium chapters
- Sch: 2.1, 2.2
- Comp: 2.2, 2.3, 4
- Basic concepts:
- Probability, expected value, variance, probability distributions, central limit theorem
- Microstates & macrostates, multiplicity
- Models: Two-state, random walk, Einstein crystal
- Lectures
- Lecture 3 , Mon 1 Sep, Dag: Probability and statistics
- Seminar-Lecture 4, Tue 2 Sep, Dag:
- Micro & macro
- Algorithmic simulations
- Mon: Oblig 1, "Ice on a lake", out
W37 Molecular dynamics simulations
- Book and compendium chapters
- Comp: 3
- Basic concepts: Many-body systems, pair potentials, equipartition of energy, temperature, pressure
- Models: Lennard-Jones
- Lectures
- Lecture 5, Mon, Dag:
- Intro to MD
- Hands on with Atomify Lammps
- Seminar-Lecture 6, Tue, Dag:
- Hands on with Atomify Lammps
- MD vs counting in stat mech models
- Deriving conditions of thermal, mechanical and diffusive equilibrium
- Definitions of \( T,P,\mu \)
- Wed 23:59: Oblig 1 in
W38 Interacting systems and entropy
- Book and compendium chapters
- Sch: 2.3, 2.4, 2.6, 3.4, 3.5
- Comp: 6.1-6.3, 6.5-6.7, 6.9, 6.10
- Basic concepts: Equilibrium, entropy, temperature, pressure, chemical potential, entropy of mixing,
- Models: Einstein crystal, two-state
- Lectures
- Lecture 7, Mon, Dag:
- Multiplicity and entropy of the ideal gas
- Entropy of mixing & expansion of gases
- Seminar-Lecture 8, Tue, Dag:
- Boltzmann statistics experiment
- Mon: Oblig 2 out
W39 Boltzmann & Gibbs statistics
- Book and compendium chapters
- Sch: 2.5, 6.1-6.4, 7.1
- Comp: 5, 6.4, 7.1-7.2, 7.7, 10.1
- Basic concepts: Boltzmann factor, partition function, equipartition, MB-distribution, Gibbs factor, Gibbs sum
- Lectures
- Lecture 9, Mon, Dag: Canonical ensemble
Average values, equipartition, speed distribution, free energy
- Seminar-Lecture 10, Tue, Dag: Canonical & grand canonical ensembles
W40 Thermodynamics: free energy & heat engines
- Book and compendium chapters
- Sch: 4.1, 4.2, 5.1, 5.2
- Comp: 8
- Basic concepts: State variables, extensive & intensive, thermodynamic identities, path dependence, adiabatic, isothermal, isochoric, quasi-static and reversible processes, equation of state, enthalpy, Helmholtz & Gibbs free energies, heat engine, refrigerator, efficiency
- Models: Carnot cycle
- Lectures
- Lecture 11, Mon, Dag: Canonical ensemble and thermodynamic potentials
- Seminar-Lecture 12, Tue, Dag: Engines and refrigerators
- Lab 1A Gas thermodynamics
- Sun 23:59: Hand in Lab 1
W41 Midterm
- Wed 14:15: Problem solving with teaching assistants
W42 Phase equilibria and phase transitions
- Book and compendium chapters
- Sch: 5.3, 5.4
- Comp: 9.2-9.5
- Basic concepts: Gibbs free energy, phase diagrams, principle of corresponding states, latent heat, Clausius-Clapeyron relation
- Models: van der Waals
- Lectures
- Lecture 13, Mon, Larissa
- Seminar-Lecture 14, Tue, Larissa
W43 Chemical potential and applications in the canonical ensemble
- Book and compendium chapters
- Sch: 6.5-6.7, 7.1, 2.6, 3.5, 5.5, 5.6
- Comp: 7.3-7.6
- Basic concepts: Partition function, Helmholtz free energy, chemical potential, osmotic pressure
- Models: ideal solution, liquid crystal, protein folding
- Lectures
- Lecture 15 Mon, Dag: Chemical potential of ideal gas, ideal mixtures, electrochemical cells, model liquid crystal
- Seminar-Lecture 16, Tue, Dag: Modelling osmosis, freezing cells, and protein folding.
- Lab 2A Phase transitions
- Sun 23:59: Hand in Lab 2
- Mon: Oblig 3 out
W44 Gibbs statistics
- Book and compendium chapters
- Sch: 5.5, 7.1, 7.2
- Comp: 9.1, 9.6
- Basic concepts: Grand partition function, mixtures, solutions, vapor pressure,
- Models: Pauling's hemoglobin
- Lectures
- Lecture 17, Mon, Dag: barometric formula and oxygen transport in our body
- Seminar-Lecture 18, Tue, Larissa: Quantum statistics
- Sun 23:59 Oblig 3 in
W45 Fermi gas
- Book and compendium chapters
- Sch: 7.2, 7.3
- Comp: 10.2, 10.3
- Basic concepts: Fermi energy, density of states
- Models: Free electron gas
- Lectures
- Lecture 19, Mon, Larissa: Fermi-Dirac distribution
- Seminar-Lecture 20 Tue, Larissa: Gibbs statistics and QM gases
- Mon: Oblig 4 out
W46 Photons and phonons
- Book and compendium chapters
- Sch: 7.4, 7.5
- Comp: 10.4, 10.5
- Basic concepts: Ultraviolet catastrophe, Planck distribution, thermal vibrations
- Models: Black body, Debye solid
- Lectures
- Lecture 21, Mon, Larissa: Bose-Einstein distribution & black-body radiation
- Seminar-Lecture 22, Tue, Larissa: Heat capacity
- Wed 23:59: Oblig 4 in
W47 Repetition & exercises
- Lectures
- Lecture/seminar 23: Highlights: central themes of the course and the structure of an exam
- Lecture 24: Red thread through the curriculum
- Group session, Mon/Thu: Quantum statistical mechanics: phonons.
- Problem solving, Help with exam problems