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Statistical Physics 1

Vak
2024-2025

Admission requirements

Prior knowledge of Klassieke Mechanica a, Elektrische en Magnetische Velden, Analyse 1 (NA), Analyse 2 (NA) en Lineare Algebra 1 (NA)

Description

Statistical Physics builds a bridge between the microscopic world of atoms, molecules, objects, and the resulting collective behavior at the macroscopic level, be it a material, an organism, the universe. Using probability theory we will develop the notion of entropy. The principle of maximum entropy allows us to develop the statistical physics of systems in equilibrium, and define temperature as a physical quantity. Thermodynamics will be presented as emergent description of the concepts of statistical physics. The concepts are applied to gases, and to other examples in solid materials, biophysics, and astonomy.

Course objectives

After finishing the course you are able to analyze unknown problems by applying statistical physics concepts:

  • probability theory, phase space

  • entropy, thermal equilibrium

  • microcanonical ensemble, canonical ensemble, grand canonical ensemble

  • ensemble equivalence

  • classical and quantum harmonic oscillator

  • thermodynamic potentials, energy representation

  • Helmholtz free energy, Gibbs free energy

  • ideal gas law, heat engine, Maxwell-Boltzmann distribution

  • mean field approximation, Ising model

  • phase transitions

Timetable

Schedule
For detailed information go to Timetable in Brightspace

You will find the timetables for all courses and degree programmes of Leiden University in the tool MyTimetable (login). Any teaching activities that you have sucessfully registered for in MyStudyMap will automatically be displayed in MyTimeTable. Any timetables that you add manually, will be saved and automatically displayed the next time you sign in.

MyTimetable allows you to integrate your timetable with your calendar apps such as Outlook, Google Calendar, Apple Calendar and other calendar apps on your smartphone. Any timetable changes will be automatically synced with your calendar. If you wish, you can also receive an email notification of the change. You can turn notifications on in ‘Settings’ (after login).

For more information, watch the video or go the the 'help-page' in MyTimetable. Please note: Joint Degree students Leiden/Delft have to merge their two different

Mode of instruction

Lectures, self-study of written material, self-study of video material, tutorial sessions, weekly homework sets. The course is taught in English.
See Brightspace

Assessment method

Written exam with open questions. Bonus points are earned from homework problems.

Reading list

R.H. Swendsen, 'An Introduction to Statistical Mechanics and Thermodynamics', Oxford University Press.

Registration

As a student, you are responsible for registering on time, i.e. 14 days before the start of the course. This can be done via Mystudymap. You do this twice a year: once for the courses you want to take in semester 1 and once for the courses you want to take in semester 2. Please note: late registration is not possible.

Registration for courses in the first semester is possible from July; registration for courses in the second semester is possible from December. For more information, see this page

In addition, it is mandatory for all students to register for exams. This can be done up to and including 10 calendar days prior to the exam or up to five calendar days in case of a retake exam. You cannot participate in the exam or retake without a valid registration in My Studymap.

Contact

Lecturer:Prof. dr. T Schmidt

Remarks

none