FYSA2041 Statistical Physics, part A (6 cr)
Description
Temperature
Pressure and Thermodynamical Equilibrium
System State; Microstate and Macrostate
Equation of State and State Variables
Intensive and Extensive VAriables
Internal Energy, Heat, and Work
1. Rule of Thermodynamics
Reversible and Irreversible Process
Reversible Expansion of Gas, Work and Heat
Exact and Inexact Differentials
Adiabatic, Isobaric, Isochoric, and Isentropic Process
Response Functions, Heat Capacity
Adiabatic Equation of state of Ideal Gas
Cyclic Process and Entropy
Conseuqences of 2. Law of Thermodynamics
Natural Variables
Maxwell Relations
Boltzmann Entropia
Maxwell-Boltzmann Distribution
Boltzmann Distribution
Partition Function
Classical Phase Spase and Counting States
Paramagnetism
Magnetic Cooling
Equilibrium in Canonical Ensemble and Fluctuations
Joule-Thomson Effect
Adiabatic Stretching of a Wire, Rubber Band
Equipartition Theorem
Phase Transitions
Condition of Phase Equilibrium
Coexistence and Free Energy Minimization
Ising Model; Mean Field Approximation, Simulation
Landau Theory of Phase Transition
Learning outcomes
After finishing the course the student
Knows and understands the principles of thermodynamics, it’s range of validity, the postulates, equations of states, and entropy, closed systems and systems coupled to an environment, their thermodynamical potentials and principles of statistical mechanics. T
Can derive thermodynamical variables starting from an energy spectrum and partition function
Know what the Boltzmann distribution means and how it’s related to the effect of a heat bath to the energy states of the system
Knows the connection between statistical physics and thermodynamics
Understands the role of the chemical potential in phase equilibria and how phase transitions are modeled can represented in phase diagrams
Is familiar with the Ginzburg-Landau theory and spin models (such as Ising)
Description of prerequisites
FYSP1010 Principles of Mechanics (Mekaniikan perusteet)
FYSP1020 Vibrations and Thermodynamics (Värähtelyt ja termodynamiikka),
FYSA2001 Modern physics, part A, (Moderni fysiikka, osa A)
MATP211-213 Calculus 1-3,
MATA114 Differential Equations (Differentiaaliyhtälöt) (or similar).
Warmly recommended: FYSA2031 Quantum Mechanics, part A
Study materials
Luentomoniste
Literature
- Franz Mandl, Statistical Physics, ISBN-13: 978-0471915331, ISBN-10: 0471915335.
- Roger Bowley and Mariana Sanchez, Introductory Statistical Mechanics, ISBN-13: 978-0198505761 ISBN-10: 0198505760.
- Jouko Arponen ja Juha Honkonen, Statistinen Fysiikka, ISBN-13: 9789517451895, ISBN-10: 951745189X.
- Linda Reichl , A Modern Course in Statical Physics, ISBN-13: 978-3527413492 ISBN-10: 3527413499
Completion methods
Method 1
Method 2
Teaching (6 cr)
Lectures, exercises, laboratory work, exam.
Teaching
1/11–3/14/2021 Lectures
2/26–2/26/2021 1. Final exam
3/19–3/19/2021 2. Final exam
Independent study (6 cr)
Exam or home exam plus laboratory work. .