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Advanced Topics in Theoretical Physics (Autumn 2023)

Program

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: Active Matter 
Silke Henkes (Leiden)
Lectures and exercises: Oct 16, 23, 30, Nov 6
Exam: Nov 13
Location:  (Leiden)

Abstract:
TBA


Module 3: TBA
Dirk Schuricht (Utrecht)
Lectures and exercises: Nov 20, 27, Dec 4, 11
Exam: Dec 18
Location: TBA (Utrecht)

Abstract: 
TBA
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