COURSE GOALS:
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1. KNOWLEDGE AND UNDERSTANDING
1.2 demonstrate a thorough knowledge of advanced methods of theoretical physics including classical mechanics, classical electrodynamics, statistical physics and quantum physics
2. APPLYING KNOWLEDGE AND UNDERSTANDING
2.1 identify the essentials of a process/situation and set up a working model of the same or recognize and use the existing models
2.2 evaluate clearly the orders of magnitude in situations which are physically different, but show analogies, thus allowing the use of known solutions in new problems
2.4 adapt available models to new experimental data
3. MAKING JUDGEMENTS
3.1 work with a high degree of autonomy, even accepting responsibilities in project planning and in the managing of structures
4. COMMUNICATION SKILLS
4.1 work in an interdisciplinary team
4.2 present one's own research or literature search results to professional as well as to lay audiences
5. LEARNING SKILLS
5.1 search for and use physical and other technical literature, as well as any other sources of information relevant to research work and technical project development (good knowledge of technical English is required)
5.3 carry out research by undertaking a PhD
5.4 participate in projects which require advanced skills in modeling, analysis, numerical calculations and use of technologies
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
* Demonstrate a deep understanding of the principles of statistical mechanics to explain the specific physical phenomena in many body systems.
* Use a formalism for the analysis of spatial and temporal correlation between fluctuations in simple examples.
* Formulate and explain the fluctuation dissipation theorem.
* Qualitative and quantitative explanation of the role of fluctuations in the phase transition.
* Formulate Landau theory of phase transitions and evaluate the limits of its applicability.
* Explain the causes of the universality of critical phenomena and formulate the properties of homogeneity thermodynamic basis of the invariance to spatial scale.
* Explain the basic facts of the idea and procedure of renormalization group, and is quantitatively applied to simple examples.
* For non-equilibrium system close to equilibrium perform local formulation of the laws of thermodynamics starting from conservation laws.
* Demonstrate the connection between entropy production and intensive vairjabli situation in the system close to equilibrium.
COURSE DESCRIPTION:
Equilibrium thermodynamics and fluctuations. Space and time correlations. Generalized susceptibility. Fluctuation-dissipation theorem. Fluctuation dominated phenomena. Scale invariance. Processes near equilibrium. Conservation laws. Entropy production. Phenomenological equations. Stationary states. Processes far from equilibrium.
REQUIREMENTS FOR STUDENTS:
attending lectures and exercises
GRADING AND ASSESSING THE WORK OF STUDENTS:
Student receives a final grade based on the knowledge shown in the oral examination , which has the main weight in the final assessment . Oral exam can be accessed after a passing grade on the written exam . For the written exam the student has a choice: either a written exam in classical form or solving problematskih assignments during the semester and prepare one of the seminar .
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