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Statistical theory of fluctuations and correlation functions

ДВА. 02.05

Вибіркова дисципліна для ОП

Third

2023/2024

4 Semester

4

PLO-03. Develop and research conceptual, mathematical and computer models of processes and systems, use them effectively to gain new knowledge and / or create innovative products in physics (astronomy) and related interdisciplinary areas. PLO-07. Deeply understand the general principles and methods of natural sciences, as well as the methodology of scientific research, be able to apply them in their own research in physics (astronomy) and in teaching practice.

Distance form

1. Basic laws of thermodynamics and methods of calculating thermodynamic quantities for such systems. 2. The main provisions of modern classical and quantum statistical mechanics of bounded and unbounded systems and systems with fluctuations. 3. Fundamentals of modern physics of phase transitions for inhomogeneous systems. 4. Distribution functions in microcanonical, canonical, isobaric-isothermal and large canonical ensemble. 5. Statistical sums in microcanonical, canonical, isobaric-isothermal and large canonical ensemble. 6. Functional derivatives, Taylor functional series. 1. Logically and consistently formulate the basic provisions and laws of statistical physics and thermodynamics of systems in which there are fluctuations. 2. Calculate the thermophysical properties of the inhomogeneous fluctuating substance, the three available information about the thermal and caloric equations of state.

basic laws describing the behavior of inhomogeneous and bounded substances in liquid and gaseous states in a wide range of changes in thermodynamic parameters, including around critical points and stability limits, ie in states where fluctuations are important and knowledge of correlation functions is necessary to calculate thermodynamic and structural features of the system

1. S.R. de Groot, P. Mazur. Non-equilibrium thermodynamics. M. Mir, 1964. 2. M.V. Wolkenstein. Biophysics. M .: Nauka, 1988. 3. Thermodynamics of irreversible processes. M .: IIL, 1962. 4. I. Prigogine. From existing to emerging. M .: Nauka, 1985. 5. D.N. Zubarev. Non-equilibrium statistical thermodynamics. M .: Nauka, 1971. 6. L.A. Bulavin, D.A. Гаврюшенко, В.М. Sysoev. Non-equilibrium thermodynamics. Part 1. The diffusion equation. K .: VC Kyiv University, 2003. 7. R. Braut. Phase transitions. M .: Mir, 1967. 8. Sh. Ma. Modern theory of critical phenomena. M .: Mir, 1980. 9. V.G. Boyko et al. UFN volume 161, №2, 1991, pp. 77-111. 10. M.A. Anisimov. Critical phenomena in liquids and liquid crystals. M .: Nauka, 1987. 11. A.Z. Паташинский, В.Л. Pokrovsky. Fluctuation theory of phase transitions. M .: 12. Science, 1982. 13. І.Р. Yukhnovsky. Phase transformations of the second kind. Kyiv: Scientific Opinion, 1985. 14. L.A. Bulavin. Critical properties of liquids. Kyiv, 2002.

The total amount of 120 hours, including: lectures - 18 hours; practical classes - 4 hours; consultations - 2 hours; independent work - 96 hours.

- evaluation: 1. Modular control work 1 - PH 1.1. - 1.5, 2.1 - 2.5, 3.1. (block of topics of Chapter 1) - 14 points / 7 points 2. Modular control work 2 - PH 1.1. - 1.5, 2.1 - 2.5, 3.1. (block of topics of Chapter 2) - 13 points / 6.5 points 3. Modular control work 3 - PH 1.1. - 1.5, 2.1 - 2.5, 3.1. (block of topics of Chapter 3) - 13 points / 6.5 points 4. Oral and written answers / additions - RN 1.1. - 1.5, 2.1 - 2.5, 3.1. - 60 points / 30 points - final assessment: in the form of an exam

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