COURSE UNIT TITLE

: INTRODUCTION TO PHASE TRANSITIONS AND CRITICAL PHENOMENA

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR GÜL GÜLPINAR

Offered to

Physics

Course Objective

The subject introduces the Gibbs ensembles of classical statistical mechanics, the relations to thermodynamics and the modern theory of phase transitions and critical phenomena including the concepts of critical exponents, universality and scaling. Applications include the ideal gas, mean field theories of fluids and ferromagnets and Ising lattice spin models.

Learning Outcomes of the Course Unit

1   Being able to comprehend basic concepts and facts in critical phenomena and phase transitions
2   Know how to calculate equilibrium thermodynamic properties of physical interest in statistical systems
3   Being able to pursue further studies in this and related areas
4   Being able to research the open problems 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 Introduction to critical phenomena
2 Experimental systems showing classical and quantum critical phenomena
3 Phases, Phenomenology of 1st order phase transitions, Continuous transitions
4 Criticality in spin systems
5 Criticality in classical field theories
6 Landau theory, Order parameters, Spontaneous symmetry breaking
7 Critical behavior, Scaling, Critical exponents, Relations between critical exponents
8 MID TERM I
9 Kadanoff scaling. Universality conjecture
10 Calculation of critical exponents: Real space RG methods
11 RG of Wilson and Fisher,
12 Phi- 4 theory, 4- epsilon expansion
13 Continious symmetry: Mermin-Wagner theorem
14 Topological order. Kosterlitz-Thouless phase transition

Recomended or Required Reading

Textbook: Principles of Condensed Matter Physics, by P. M. Chaikin, and T. C. Lubensky (Cambridge University Press, 2000)
References:
1. Pathria R.K. (2001), Statistical Mechanics, Second Edition , Butterworth-Heinemann ,Oxford
2. Landau , L.D., Lifshitz E.M. (1980), Statistical Physics, Third Edition, Part 1: Volume 5 (Course of Theoretical Physics, Volume 5) , Butterworth-Heinemann, Oxford.

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 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + ASG * 0.20 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + ASG * 0.20 + RST * 0.40


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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

English

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)

gul.gulpinar@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Tutorials 13 2 26
Preparing assignments 12 3 36
Preparations before/after weekly lectures 12 4 48
Preparation for final exam 1 18 18
Preparation for midterm exam 1 8 8
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 168

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.1455
LO.2455
LO.3455
LO.4455
LO.5455

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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