# FYSA2041 Statistical Physics, part A (6 cr)

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## 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

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### Method 2

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### Teaching (6 cr)

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Lectures, exercises, laboratory work, exam.

#### Teaching

##### 10/14–10/14/2022 Exam

##### 12/2–12/2/2022 Exam

##### 1/9–2/24/2023 Lectures

##### 3/10–3/10/2023 Exam

##### 5/12–5/12/2023 Exam

### Independent study (6 cr)

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Exam or home exam plus laboratory work. .