SELF-GRAVITATING SYSTEMS

Course objectives

GENERAL OBJECTIVES: Providing a knowledge of astrophysical problems connected to equilibrium and stability of selfgravitating systems. Knowledge of basic statistical mechanics forstudying distribution functions to apply to ravitational equilibrium models. Analysis of formation and dynamical evolution of some astrophysical systems and calculation of equilibrium configurations with particular attention to stability problem in dynamic and thermodynamic regime. Analysis of gravothermal catastrophe by Lynden-Bell and Wood model and relationship with evolution of globular clusters. SPECIFIC OBJECTIVES: A - Knowledge and understanding OF 1) To know the properties of a collisional system. OF 2) To understand the mechanisms underlying the formation and evolution of some astrophysical systems. OF 3) Understanding the mechanisms connected with the phenomenon of the gravothermal catastrophe. B - Application skills OF 4) To be able to calculate the equilibrium configurations of a self-gravitating system. C - Autonomy of judgment OF 5) To be able to integrate the knowledge acquired in order to apply them in the more general context linked to the equilibrium and stability of stars and star clusters. D - Communication skills E - Ability to learn OF 6) Have the ability to consult scientific articles in order to independently investigate some topics introduced during the course.

Channel 1
MARCO MERAFINA Lecturers' profile

Program - Frequency - Exams

Course program
Gravitational equilibrium. Polytropics, Lane-Emden equation. Fermi-Dirac distribution function: white dwarfs, neutron stars, supermassive stars. Non-collisional systems: Vlasov equation, King models. Axisymmetric systems. Triassial systems. Collisional systems: Fokker-Planck equation, gravothermal catastrophe. Dynamical and thermodynamical stability. Classical and relativistic regimes.
Prerequisites
no pre-requisites
Books
- Binney e Tremaine "Galactic Dynamics" - Princeton - Chandrasekhar "An introduction to the study of stellar structure" - Dover - Landau e Lifshitz "Statistical Physics" - Pergamon - Lesson notes
Teaching mode
The lecture format is through blackboard or projections on screen. Alternatively, through e-learning platform.
Frequency
In presence and in remote connection (on demand)
Exam mode
The exam consists of an interview on the topics illustrated in the course. The student must show to be able to present a topic or repeat a calculation discussed during the course and to apply the learned methods to examples and situations similar to those already discussed. The evaluation will take into account: - the correctness of the exposed concepts; - the clarity and rigor of the presentation; - the capacity in the analytical development of the theory; - attitude in "problem solving" (method and results). The oral exam lasts about 30 minutes.
Bibliography
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Lesson mode
The lecture format is through blackboard or projections on screen. Alternatively, through e-learning platform.
  • Lesson code1012165
  • Academic year2025/2026
  • CourseAstrophysics and Cosmology
  • CurriculumSingle curriculum
  • Year2nd year
  • Semester1st semester
  • SSDFIS/05
  • CFU6