BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
| APPLIED MATHEMATICS (TURKISH, THESIS) | |||||
| Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 | ||
Course Introduction and Application Information
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| FİZ5039 | Statistics Mechanics I | Fall Spring |
3 | 0 | 3 | 12 |
| This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
Basic information
| Language of instruction: | Turkish |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Assoc. Prof. MUHAMMED AÇIKGÖZ |
| Recommended Optional Program Components: | None |
| Course Objectives: | To give the basic information defining the physical properties of macroscopic systems composed of multitude quantum and classic particles. |
Learning Outcomes
|
The students who have succeeded in this course; To be able to use the physical properties of macroscopic systems composed of multitude quantum and classic particles. To be able to have information about fundamental thermodynamic laws and the statistical calculation of the parameters of macroscopic systems. To be able to apply statistical distributions. |
Course Content
| In this course, the physical properties of macroscopic systems composed of quantum and classic particles will be thought. |
Weekly Detailed Course Contents
| Week | Subject | Related Preparation |
| 1) | Hamiltonian Equation. Phase space. Statistics and probability. Microcanonic ensemble. Liouville equation. | |
| 2) | Quantum systems. Energy spectrum. Statistical matrix and its properties. Entropy. Entropy in unstable systems. | |
| 3) | Thermal equilibrium and temperature. Quasistatic and adiabatic processes. Internal and external parameters. Pressure. | |
| 4) | Conservation of work and energy in macroscopic system. Reversible processes and entropy. Deviations. | |
| 5) | Thermodynamics first law. Thermodynamics potentials. Thermodynamic equalities. Joule-Tomson and Joule Processes, magnetoclaric effect. | |
| 6) | Thermodynamic second law, Carnot theorem, Clausius inequality. Thermodynamic third law, Nernst theorem. Thermodynamic parameters and number of particles. | |
| 7) | Microcanonic distributions. Equipartion theorem. Classical ideal gas. Gibbs paradox. Canonic Gibbs distribution. | |
| 8) | Maxwell distribution. Grand canonic distribution. Applications of Grand canonic distribution. | |
| 9) | Boltzmann distribution. Free energy and state equation. Ideal gas with two or three atoms. | |
| 10) | Real gases, Van-der-Waals equation. | |
| 11) | Fermi-Dirac and Boze-Einstein distributions. Unstable Fermi and Bose gases. | |
| 12) | Ideal Fermi and Bose gases. | |
| 13) | Degenerate Fermi and Bose gases. Black-body radiation. | |
| 14) | Bose liquid. Super-fluidity. |
Sources
| Course Notes / Textbooks: | Landau, Lifshitz - Statistical Physics, Part 1. |
| References: | K. Huang - Statistical Mechanics Kubo - Statistical Mechanics |
Evaluation System
| Semester Requirements | Number of Activities | Level of Contribution |
| Homework Assignments | 5 | % 20 |
| Midterms | 1 | % 40 |
| Final | 1 | % 40 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| Total | % 100 | |
ECTS / Workload Table
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Study Hours Out of Class | 14 | 4 | 56 |
| Homework Assignments | 5 | 10 | 50 |
| Midterms | 1 | 22 | 22 |
| Final | 1 | 30 | 30 |
| Total Workload | 200 | ||
Contribution of Learning Outcomes to Programme Outcomes
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |