Dynamical Phase Transitions in Markov Processes by Hugo Touchette
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Explore dynamical phase transitions in Markov processes through this informative colloquium talk by Hugo Touchette from Stellenbosch University. Delve into the similarities and differences between dynamical and equilibrium phase transitions, and examine a simple Brownian motion model demonstrating a dynamical phase transition in the long-time limit. Learn about the physical interpretation of this transition as a localisation-delocalisation phenomenon. The talk covers key concepts including equilibrium phase transitions, dynamical phase transitions, rate function calculations, and large deviation theory. Gain insights into the Garner-Ellis Theorem, Penon-Frobenino approach, and spectral problems associated with these processes. Conclude with a comprehensive Q&A session to deepen your understanding of this fascinating topic in statistical physics.
Syllabus
DATE: Mon, 15 July 2019, 15:00 to
Dynamical phase transitions in Markov processes
1. Equilibrium Phase Transitions
2. Dynamical Phase Transitions
3. Model
Observable
4. Calculation of rate function
Garner-Ellis Theorem
Penon-Frobenino
Spectral Problem
5. Large deviation for BM Mue=0
6. LDS for dBM Mu0
Conclusion
Q&A
Taught by
International Centre for Theoretical Sciences
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