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Information
| Code | MN0042 |
| Name | Statistical Mechanics |
| Term | 2024-2025 Academic Year |
| Term | Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | |
| Course Instructor |
1 |
Course Goal / Objective
To teach the basic principles of statistical mechanics in detail.
Course Content
Review of thermodynamic potentials; Ensembles, micro canonic, canonic and grand canonic ensembles, Partition function, Classical ideal gas, quantum mechanical harmonic oscillator; Distributions, Binomial, Gaussian and Poisson distributions; Ideal Quantum gases, quantum statistics: Fermi-Dirac, Bose-Einstein and Maxwell-Boltzmann statistics, Interacting systems, lattice gas models, Monte Carlo simulations, phase transitions
Course Precondition
none
Resources
R. K. Pathria, Statistical Mechanics, 2nd edition, Butterworth, (2001)
Notes
Lecture notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | knows the historical development of thermodynamics and statistical mechanics. |
| LO02 | Knows the thermodyamic potetials and their relation. |
| LO03 | Understands the partition function. |
| LO04 | Knows the statistical distributions and ca use them. |
| LO05 | Kows the ideal (fermi and boson) gases and theri basic properties. |
| LO06 | knowledgeable about interacting systems and phase transitions. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Based on the qualifications gained during PhD studies, develops and deepens the current and advanced knowledge in the area by unique means of thinking and / or research at mastery level and comes up with original definitions which bring about novelty to the area. | 3 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Can effectively use the equipment used in the field. | |
| PLO03 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Selects experimental measurement methods of various physical quantities and uses instruments in accordance with their sensitivity limits. | |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets experimental and observational results. | 3 |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Can draw conclusions from the information obtained during the preparation for the PhD qualifying exam. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Can interpret the information acquired about the field orally and in writing. | 3 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Uses mathematical methods related to the field of study. | 4 |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have knowledge about the logic, design, conclusion and dissemination of results of scientific research. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Uses the theoretical and applied knowledge gained in the field of materials and nanotechnology at the level of expertise. | |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains high-level skills in using research methods in studies related to materials science and nanotechnology. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Develops a scientific method that brings innovation to science. | |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | Makes critical analysis, synthesis and evaluation of new ideas related to the field. | 3 |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Can carry out independent research on a specific topic related to materials and nanotechnology. | 4 |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Be able to lead in the execution of interdisciplinary studies. | 3 |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Follows the developments in the her/his field of study and constantly renews herself/himself. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Calculate the predictions of the theories and compare them with the experimental results. | 4 |
| PLO17 | Yetkinlikler - Öğrenme Yetkinliği | Comprehends the interdisciplinary interaction that the field of study is related to. | 3 |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | He/she shares his/her own ideas and suggestions regarding the problems in the field of study with groups in and outside the field by supporting them with quantitative and qualitative data. | |
| PLO19 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Can develop original solutions for problems in the field. | 3 |
| PLO20 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Can prepare a scientific article and publish scientific articles in international refereed journals. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Review of thermodynamic potentials, first law, Helmholtz’ free energy, Gibbs’ free energy | Study the relevant chapter in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Enthalpy, Gibbs-Duhem equation, extensive and intensive variables, state variables | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım |
| 3 | Ensembles and Partition functions, Relation between partition functions | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Microcanonical, canonical and grand canonical ensembles | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 5 | Thermodynamic potentials in terms of partition functions, The classical ideal gas, quantum mechanical harmonic oscillator | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Probability theories, binomial distribution | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım |
| 7 | Gausssian and poisson distributions | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-term exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Ideal quantum gases | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım |
| 10 | Ideal boson gas | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 11 | Heat capacity due to phonons, Einstein’s and Debye’s models | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Ideal Fermi gas | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 13 | Interacting systems | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım |
| 14 | Phase transitions | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | Monte Carlo simulation of Ising model | Study the relevant section in the textbook. | Öğretim Yöntemleri: Anlatım, Deney / Laboratuvar |
| 16 | Final exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Final exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||