Admission requirements
Statistical Physics a.
Description
What do a magnet, a Bose-Einstein condensate and a flock of birds have in common? All these systems exhibit a collective behavior and have large-scale physical properties that cannot be understood in terms of a simple extrapolation of the properties of a few particles. Conversely, systems comprising many interacting subunits often present entirely new properties, that scientists refer to as emergent.
Statistical Physics B, is the second part of a two-part introductory course on emergent phenomena in equilibrium and non-equilibrium systems. The course provides an introduction to phase transition and collective behavior in non-equilibrium systems, with special attention for active (i.e. self-driven) particles. It builds on the focus on phase transitions and critical phenomena at equilibrium given in Statistical Physics A.
The course consists of 4 lectures and 1 tutorial. During the tutorial, the students will work in groups and use interactive software (developed by former MSc student Leandros Talman) to simulate the dynamics of bird flocks.
Topics:
Introduction to collective behavior: flocking, schooling, swarming etc.;
The XY-model and the Mermin-Wagner theorem;
The Vicsek model;
Giant density fluctuations.
Course objectives
The aim of the course is to develop a strong foundation in advanced statistical mechanics with an emphasis on emergent phenomena. Furthermore, the course aims to provide the students with a toolbox of mathematical techniques that can be readily used in theoretical and experimental research projects.
Upon completion of this cours you will be able to:
Model the relaxation dynamics of equilibrating fields;
Construct a simple phenomenological hydrodynamic theory of self-propelled objects;
Calculate number density and order parameter fluctuations from hydrodynamic equations instead of the Hamiltonian;
Perform simple numerical simulations and analyze data (but no coding will necessary).
Schedule
The timetables are available through My Timetable (see the button in the upper right corner).
Teaching method
See Brightspace
Assesment method
The final grade will be determined as follows:
- Take-home exam consisting of an analytical and a computational exercise (100%).
Resit, review & feedback
Examinations are held twice during the academic year for each component offered in that academic year. Midterm tests cannot be retaken. The Board of Examiners determines the manner of resit for practical assignments.
For review and feedback, see Brightspace.
Reading list
Reading material (research papers and notes) will be provided during the lectures.
Registration
Enrolment through MyStudyMap (button in upper right corner) is mandatory. General information about course and exam enrolment is available on the website.
Contact
For substantive questions, contact the lecturer(s) (listed in the right information bar).
Remarks
Software
Starting from the 2024/2025 academic year, the Faculty of Science will use the software distribution platform Academic Software. Through this platform, you can access the software needed for specific courses in your studies. For some software, your laptop must meet certain system requirements, which will be specified with the software. It is important to install the software before the start of the course. More information about the laptop requirements can be found on the student website.