COURSE UNIT TITLE

: STATICTICAL MECHANICS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
PHY 5130 STATICTICAL MECHANICS ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR HAMZA POLAT

Offered to

PHYSICS
PHYSICS

Course Objective

Aims of this course is to clarify the properties of matter collectively in terms of the physical laws governing atomic motion. First of all, it is to give the basic concepts of ensembles and Boltzmann statistics. Furthermore, this course is concerned mainly with statistical methods, which provide a bridge between the microscopic and macroscopic world. Applications covered include Fermi statistics, Bose statistics and Bose-Einstein condensation.

Learning Outcomes of the Course Unit

1   It is to understood mainly different between the microscopic and macroscopic physics views
2   Being able to give physical culture the student for following the solid state physics course that is taught in next year s.
3   Being able to understand the other graduate courses
4   Being able to research the open problem in the statistical physics field in the literature
5   Being able to present the results that is obtained in this field.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Basic postulates of classical thermodynamics; extensive and intensive variables; maximum entropy principle and conditions for equilibrium
2 Legendre transform and alternate thermodynamic potentials (Helmholtz and Gibbs free energies)
3 Minimization principles for thermodynamic potentials, Maxwell relations, response functions (2nd derivatives)
4 Stability of thermodynamic systems, kinetic theory of the ideal gas, ergodic hypothesis, ensemble averages
5 Liouville's theorem, the microcanonical ensemble and its relation to the entropy, application to the ideal gas
6 Entropy of mixing, indistinguishable particles, the canonical ensemble and partition function
7 Helmholtz free energy and the canonical partition function, equivalence of canonical and microcanonical ensembles, non-interacting particles
8 Virial and equipartition theorems, law of Dulong and Petit, Curie paramagnetism.
9 Mid-term
10 Entropy and information theory, Grand canonical ensemble and grand canonical partition function.
11 Grand potential and grand canonical ensemble, fluctuations, non-interacting particles, ideal gas
12 Quantum ensembles, density matrix, harmonic oscillator, Fermi-Dirac and Bose-Einstein symmetries of many particle systems
13 Pauli exclusion principle, real space density matrix for two particles, quantum statistics and spatial correlations
14 Fermi-Dirac and Bose-Einstein partition functions for non-interacting particles, occupation numbers, the classical limit, boson picture for harmonic oscillators, chemical equilibrium

Recomended or Required Reading

Textbook: Pathria R. K., and Paul D. Beale (2011), Statistical Mechanics , Butterworth-Heinemann, 3th Ed. New York.

References:
1. Huang, Kerson (1987) , Statistical Mechanics 2nd ed. , Wiley, New York.

2. Greiner, W., et al., (2000), Thermodynamics and Statistical Mechanics , Springer, Berlin.

3. Tsang, Tung, (2002), Statistical Mechanics , Rinton Press, New York.

Planned Learning Activities and Teaching Methods

1. Lecturing
2.Question-Answer
3.Discussing
4.Homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

1. The homework and mid-term exams of the student is assessed as the achievement of them in the semester.
2. At %40 score of final examination is added directly to the others

Language of Instruction

Turkish

Course Policies and Rules

1. It is obligated to continue at least 70% of lessons.
2. If the student don t make the homework and attend mid-terms, he does not access the final exam

Contact Details for the Lecturer(s)

hamza.polat@deu.edu.tr

Office Hours

Wednesday and Friday :11:00 - 12:00 am

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparations before/after weekly lectures 13 3 39
Preparations for homework 13 4 52
Preparation for midterm exam 1 12 12
Preparation for final exam 1 11 11
Homework 12 3 36
Final 1 4 4
Midterm 1 4 4
TOTAL WORKLOAD (hours) 200

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10
LO.154
LO.2454
LO.3543
LO.4442
LO.53

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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