Thermodynamics

A.Y. 2020/2021
6
Max ECTS
56
Overall hours
SSD
FIS/01 FIS/07
Language
Italian
Learning objectives
The aim of the course is to provide the basics of Thermodynamics and to introduce some fundamental quantities, like heat, temperature, internal energy, entropy, and the thermodynamic functions. The course goal is also to show some applications to thermodynamic systems, to describe models for phase transitions and to introduce some elements of classical statistical mechanics.
Expected learning outcomes
At the end of the course, the student will
- know the laws of Thermodynamics;
- have the knowledge and skills necessary for describing thermodynamic systems;
- be able to approach and solve problems involving thermodynamic systems;
- use properly the thermodynamic functions;
- be able to analyze phase transitions with the thermodynamic potentials;
- know the basics of classical statistical mechanics
Course syllabus and organization

CORSO A

Responsible
Lesson period
Second semester
The course will be delivered entirely in remote mode if the limitations to mobility due to the COVID-19 will persist. The lectures will be offered in virtual classrooms (on ZOOM) in synchronous connection, with the possibility of real-time dialogue with the teacher.
If possible special lectures in presence of students will be organized. This possibility, if available, will be agreed with the students as far as timing and logistics.
Course syllabus
1) Heat, time arrow.
2) Kinetic theory of gases.
3) Statics and dynamics of fluids.
4) Classical statistical mechanics, statistical equilibrium, temperature, ideal gas, thermometers, zeroth law of thermodynamics.
5) Fundamental postulate of thermodynamics. Entropy.
6) Thermodynamic processes, reversibility.
7) First law of thermodynamics.
8) Second and third law of thermodynamics, calorimetric coefficients. Heat engines.
9) Thermodynamic potentials, properties of extensive parameters.
10) Evolution and determination of equilibrium in isolated systems.
11) Evolution and determination of equilibrium in interacting systems.
12) Conditions for stable equilibrium.
13) Pure and homogeneous fluids.
14) Equations of state, ideal gas and real gas, interactions between molecules.
15) Van der Waals equation of state.
16) Coexistence and phase transitions of pure substances; Clausius-Clapeyron equation.
17) Theoretical analysis of phase transitions with thermodynamic potentials and equations of state. Response functions.
18) Blackbody radiation.
19) Heat transfer.
Prerequisites for admission
Basics of mechanics and kinetic theory of gases. Basics of analytical calculus.
Teaching methods
Lectures and excercises in class
Teaching Resources
E. Fermi, Termodinamica - Thermodynamics
R. P. Feynmann, Lectures on Physics
B. Diu et al. Thermodynamique (in francese)
H. Callen, Thermodynamics and an Introduction to Thermostatistics (in inglese)
M. Alonso, E. J. Finn, Fundamental University Physics III - Quantum and statistical physics (in inglese)
M. W. Zemansky, R.H. Dittman, Heat and Thermodynamcs (in inglese)
Assessment methods and Criteria
Written plus oral examination. Two written exams during the course. If both partial exams are positive they directly allow to access the oral examination, without doing a full written examination. The oral examination is on the programme presented in class and it has a typical duration of 45 minutes.
FIS/01 - EXPERIMENTAL PHYSICS - University credits: 0
FIS/07 - APPLIED PHYSICS - University credits: 0
Practicals: 24 hours
Lessons: 32 hours
Professor: Rossi Giorgio

CORSO B

Responsible
Lesson period
Second semester
Lectures will take place online through the Zoom platform, according to the schedule of the second semester. The recordings will be available on the Ariel website (https://solivarest.ariel.ctu.unimi.it). The course programme and teaching material will not be affected. The written and oral exams will be held online via Zoom and they will not be modified.
Course syllabus
1. The zeroth law of thermodymanics
2. The thermal expansion
3. The heat
4. The kinetic theory of gases
5. The first law of thermodymanics
6. The ideal gases
7. The heat transfer
8. The second law of thermodynamics
9. The entropy
10. The Boltzmann equation
11. The real gases
12. The thermodynamics potentials
13. The statistical mechanics
14. The fundamental postulates of thermodynamics
15. The phase transitions
16. The constant of the entropy

The detailed programme can be found on the Ariel site (https://solivarest.ariel.ctu.unimi.it).
Prerequisites for admission
Knowledge of classical mechanics and of the topics covered in the Mathematical Analysis I and II courses.
Teaching methods
Lectures and Exercises.
Teaching Resources
- The course material (slides, notes, ...) is available on the Ariel website of the course (https://solivarest.ariel.ctu.unimi.it).
- E. Fermi, Thermodynamics.
- M. Planck, Treatise on Thermodynamics.
- P. Mazzoldi, M. Nigro, C. Voci, Fisica Vol. 1 (in Italian).
- H. Callen, Thermodynamics and an Introduction to Thermostatistics.
Assessment methods and Criteria
During the course there will be two on-going written tests, one about halfway through the program and one at the end of the course. In the tests, the student should prove that he/she has become familiar with the concepts introduced during the course and that he is able to apply them to solve specific thermodynamic problems. If both the on-going tests are passed, direct access to the final oral exam is obtained, which consists of an interview of about half an hour in which any unclear passages of the written tests are discussed and the student must show that he/she has acquired the fundamental concepts of Thermodynamics and their physical meaning.
Students who have not passed the on-going written tests must take a written exam lasting about a couple of hours in which they should solve the proposed problems by applying the concepts and methodology learned during the course. Also in this case, after passing the written exam, the student can access the oral exam described above.
The written test will be common to the different editions of the course, while the oral test will be held with the specific teacher of each course. During the written and oral exams, the correctness of the approach and methodology will be assessed, as well as the critical sense shown by the student.
FIS/01 - EXPERIMENTAL PHYSICS - University credits: 0
FIS/07 - APPLIED PHYSICS - University credits: 0
Practicals: 24 hours
Lessons: 32 hours
Professor: Olivares Stefano

CORSO C

Responsible
Lesson period
Second semester
Classes will take place online through the Zoom platform, according to the schedule of the second semester.
The course programme and teaching material will not be affected.
The written and oral exams will be held online via Zoom and they will not be modified.
Course syllabus
1) Heat, time arrow.
2) Kinetic theory of gases.
3) Statics and dynamics of fluids.
4) Classical statistical mechanics, statistical equilibrium, temperature, ideal gas, thermometers, zeroth law of thermodynamics.
5) Fundamental postulate of thermodynamics. Entropy.
6) Thermodynamic processes, reversibility.
7) First law of thermodynamics.
8) Second and third law of thermodynamics, calorimetric coefficients. Heat engines.
9) Thermodynamic potentials, properties of extensive parameters.
10) Evolution and determination of equilibrium in isolated systems.
11) Evolution and determination of equilibrium in interacting systems.
12) Conditions for stable equilibrium.
13) Pure and homogeneous fluids.
14) Equations of state, ideal gas and real gas, interactions between molecules.
15) Van der Waals equation of state.
16) Coexistence and phase transitions of pure substances; Clausius-Clapeyron equation.
17) Theoretical analysis of phase transitions with thermodynamic potentials and equations of state. Response functions.
18) Blackbody radiation.
19) Heat transfer.
Prerequisites for admission
Mechanics, Mathematical analysis 1 and 2.
Teaching methods
32 hours of theoretical lectures and 20 hours of exercises.
Teaching Resources
E. Fermi, Thermodynamics
R. P. Feynmann, Lectures on Physics
B. Diu et al. Thermodynamique (in French)
H. Callen, Thermodynamics and an Introduction to Thermostatistics
M. Alonso, E. J. Finn, Fundamental University Physics III - Quantum and statistical physics
M. W. Zemansky, R.H. Dittman, Heat and Thermodynamics
C. Mencuccini, V. Silvestrini, Fisica-Termodinamica (in Italian)
S. Rosati, Fisica generale (in Italian)
S. Focardi, I. Massa, A. Uguzzoni, Fisica generale - Termodinamica e Fluidi (in Italian)
Assessment methods and Criteria
Written exam (~2 hours) with 3/4 open problems plus oral exam (~0.5 hour). In the exams, the student has to show to be familiar with the fundamental topics presented during the course and to be able to apply them to solve specific problems of thermodynamics.
FIS/01 - EXPERIMENTAL PHYSICS - University credits: 0
FIS/07 - APPLIED PHYSICS - University credits: 0
Practicals: 24 hours
Lessons: 32 hours
Professor: Grillo Claudio
Professor(s)
Reception:
Friday, 9:30-12:30 (by appointment)
Physics Department, via Giovanni Celoria, 16, 20133 Milano
Reception:
by e-mail appointment
Room A/5/C8 - 5th floor LITA building, Dipartimento di Fisica (via Celoria, 16 - 20133 Milano)