Скачать или смотреть Dynamical phase transitions in Markov processes by Hugo Touchette

COLLOQUIUM

DYNAMICAL PHASE TRANSITIONS IN MARKOV PROCESSES

SPEAKER: Hugo Touchette (Stellenbosch University, South Africa)

DATE: Mon, 15 July 2019, 15:00 to 16:00

VENUE:Emmy Noether Seminar Room, ICTS Campus, Bangalore


ABSTRACT
Dynamical phase transitions (DPTs) are phase transitions in the fluctuations of stochastic processes giving rise, similarly to equilibrium phase transitions, to non-analytic points in certain potential functions. DPTs are known to arise in many nonequilibrium processes and usually involve a low-noise limit or a double long-time/large- volume limit. In this talk I will explain what DPTs are, contrasting them with equilibrium phase transitions, and will present a simple model based on Brownian motion that shows a DPT in the long-time limit, related physically to a localisation-delocalisation transition.

Table of Contents (powered by https://videoken.com)
0:00:00 Dynamical phase transitions in Markov processes
0:01:38 1. Equilibrium Phase Transitions
0:07:07 2. Dynamical Phase Transitions
0:14:35 3. Model
0:17:53 Observable
0:23:45 4. Calculation of rate function
0:25:12 Garner-Ellis Theorem
0:27:00 Penon-Frobenino
0:28:39 Spectral Problem
0:30:04 5. Large deviation for BM (Mue=0)
0:39:02 6. LDS for dBM (Mu0)
0:51:28 Conclusion
0:54:36 Q&A