Week plan

• Mon: Weekly exercise and last weeks exercise solution published
• Mon 12:15, : Group session
• Tue 08:15, Store Fysiske Auditorium: Lecture
• Tue 12:15, ?397: Problem solving with teaching assistants before oblig hand-in
• Wed 10:15, Store Fysiske Lesesal: Seminar
• Wed 12:15, : Group session
• Wed 14:15, : Group session

W34 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, Tue 20 Aug, Dag:
    • phase equilibrium & phase transitions
    • heat of melting & condensation
    • Thermal concepts inventory
    • Veritasium: What do we get from the sun?
  • Lecture 2, Wed 21 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

W35 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 , Tue 27 Aug, Dag: Probability and statistics
  • Lecture 4, Wed 28 Aug, Dag:
    • Micro & macro
    • Algorithmic simulations
• Mon: Oblig 1, "Ice on a lake", out

W36 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, Tue, Dag:
    • Intro to MD
    • Hands on with Atomify Lammps
  • Lecture 6, Wed, 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

W37 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, Tue, Dag:
    • Multiplicity and entropy of the ideal gas
    • Entropy of mixing & expansion of gases
  • Lecture 8, Wed, Dag:
    • Boltzmann statistics experiment
• Mon: Oblig 2 out

W38 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, Tue, Dag: Canonical ensemble

Average values, equipartition, speed distribution, free energy

• Lecture 10, Wed, Dag: Canonical & grand canonical ensembles

• Wed 23:59: Oblig 2 in

  W39 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, Tue, Dag: Canonical ensemble and thermodynamic potentials
  • Lecture 12, Wed, Dag: Engines and refrigerators
• Lab 1A Gas thermodynamics
• Sun 23:59: Hand in Lab 1

W40 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, Tue, Larissa
  • Lecture 14, Wed, Larissa

W41 Midterm

• Wed 14:15: Problem solving with teaching assistants

W42 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 Tue, Dag: Chemical potential of ideal gas, ideal mixtures, electrochemical cells, model liquid crystal
  • Lecture 16, Wed, Dag: Modelling osmosis, freezing cells, and protein folding.
• Lab 2A Phase transitions
• Sun 23:59: Hand in Lab 2
• Mon: Oblig 3 out

W43 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, Tue, Dag: barometric formula and oxygen transport in our body
  • Lecture 18, Wed, Larissa: Quantum statistics
• Sun 23:59 Oblig 3 in

W44 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, Tue, Larissa: Fermi-Dirac distribution
  • Lecture 20 Wed, Larissa: Gibbs statistics and QM gases
• Mon: Oblig 4 out

W45 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, Tue, Larissa: Bose-Einstein distribution & black-body radiation
  • Lecture 22, Wed, Larissa: Heat capacity
• Wed 23:59: Oblig 4 in

W46 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, Tue: Help with exam problems

W47 Repetition & exercises

• Problem solving, Tue: Help with exam problems
• Group sessions, Mon/Thu: Exam problems

W48 Exam