FİZ5039 Statistics Mechanics IBahçeşehir UniversityDegree Programs APPLIED MATHEMATICS (TURKISH, NON-THESIS)General Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
APPLIED MATHEMATICS (TURKISH, NON-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
1) Ability to assimilate mathematic related concepts and associate these concepts with each other.
2) Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization.
3) Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques.
4) Ability to make individual and team work on issues related to working and social life.
5) Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball.
6) Ability to use mathematical knowledge in technology.
7) To apply mathematical principles to real world problems.
8) Ability to use the approaches and knowledge of other disciplines in Mathematics.
9) Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary.
10) To apply mathematical principles to real world problems.
11) To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively.
12) To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself.