It is a pleasure to announce this fall's Delta ITP Course Advanced Topics in Theoretical Physics on Emergence and the Renormalization Group. The course is divided into three 5-week modules, which will cover non-equilibrium stochastic mechanics, TBA and TBA. As always, the emphasis is on methods that can be used across all fields of physics.
Each module consists of four lectures and exercise sessions. Lectures will take place on Mondays at
11:15 - 13:00, followed by a study/exercise session from 13:45 - end. At the end of each module there is an exam. All exams are pass/fail, and you need to pass all three exams to receive credit for the course.
Teaching is on location in person, with the location of this course rotating between the three institutes. The first module is in Amsterdam. Directions to the institutes can be found here: Amsterdam, Utrecht, Leiden. Students who do not have an OV-card from the Dutch government can have their travel costs reimbursed from D-ITP. Please contact the local coordinator (below) for details.
Please register here before the course begins, even if you do not take the course for credit.
We cannot process your grade or send important notices if you do not register.
- MODULE 1:
Non-equilibrium stochastic mechanics: emergence and renormalization
Wout Merbis (Amsterdam)
Lectures and exercises: Sept 4, 11, 18, 25
Exam: Oct 9 (Oct 2 is UL holiday)
Location: Science Park G2.02 (Amsterdam)
Abstract: In these lectures we will explore quantum methods for stochastic mechanics, where we will focus on the theme of ’emergence and renormalization’. First, we will provide some conceptual background on emergence. What does this even mean? What are different kinds of emergence? How can we study emergent phenomena scientifically? After this, we will focus on bringing techniques familiar to theoretical physicists (such as second quantization, Fock space, path integrals and quantum field theory) back into the classical domain. We will apply these techniques to reaction-diffusion models of non-equilibrium stochastic systems, which may find applications in a diverse set of scientific fields, including physical chemistry, theoretical ecology, epidemiology, game theory and socio-economical models of complex systems. We conclude with discussing renormalization group methods in this setting, which links back to the topic of emergence, as we will see universality of critical dynamics appear near dynamical phase transitions, similar to that of equilibrium systems.
- MODULE 2:
Silke Henkes (Leiden)
Lectures and exercises: Oct 16, 23, 30, Nov 6
Exam: Nov 13
Abstract: Active matter is the physics of things that move on their own, for example flocks of birds, schools of fishes, but also the cells in tissues that constitute the developing embryo. Including internal mechanisms of motion and producing stresses breaks equilibrium statistical mechanics at the local level, leading to many unexpected phenomena, such as long-range flocking, motile topological defects and pattern formation. In this course, I will give an overview of the state of the art of this young field and the different theoretical approaches being utilised.
The dynamics of active agents such as colloids and cells is deeply entwined with equilibrium dynamics, and I will begin with a crash course on Langevin dynamics for individual particles, diffusion and fluctuation-dissipation, and how to link them to a hydrodynamic description through the Fokker-Planck equation.
I will then introduce self-propelled active Brownian particles (ABPs) as a paradigmatic active matter model, and show how it modifies equilibrium dynamics. The different phases of ABPs (gas, liquid, glass and motility induced phase separated) will be the focus of an extended exercise session that will involve writing a python code for this model.
I will then move on to hydrodynamic theories of active liquids, beginning with the Toner-Tu equations of flocking and their link to microscopic approaches such as the Vicsek model. I will also specifically discuss the case of active nematic liquid crystals where dynamics is dominated by motile half-integer defects, and pair both models with experimental examples.
Finally, I will spend time on the case of active solids, and how activity interacts with the local mechanics to generate new states that are relevant to development in biology, as well as being a route to creating new materials through active pattern formation.
- MODULE 3:
Phase transitions, universality, and all that
Dirk Schuricht (Utrecht)
Lectures and exercises: Nov 20, 27, Dec 4, 11
Exam: Dec 18
Location: TBA (Utrecht)
Abstract: This lecture series discusses critical phenomena, ie, systems close to phase transitions and the universal behaviour they show. Specifically we cover Ginzburg-Landau theory, scaling and critical exponents and the renormalisation group idea, and give an outlook on conformal field theory.
Dr. Lars Fritz
Institute for Theoretical Physics
3584 CC Utrecht
tel: +31 30 253 3880
Prof. Koenraad Schalm
Instituut-Lorentz for Theoretical Physics
Niels Bohrweg 2
2335 CA Leiden
Dr. Clelia de Mulatier
Institute for Theoretical Physics
University of Amsterdam
Science Park 904
1098 XH Amsterdam