Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Tensor Network Methods and Large Deviations in Stochastic Dynamics

Explore tensor network methods for studying fluctuations in stochastic systems, covering long-time statistics, rare event sampling, finite-time extensions, and symmetry protected topological phases in dynamical LDs.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

A Large Deviation Perspective on Nanoscale Transport Phenomena

Explore nanoscale transport phenomena through large deviation theory, examining current fluctuations in nonequilibrium states and their relation to nonlinear responses in complex systems.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

From Stochastic Thermodynamics to Thermodynamic Inference

Explore stochastic thermodynamics and its application to nano-scale systems. Learn about thermodynamic inference for analyzing non-equilibrium systems and estimating entropy production.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

Engineered Swift Equilibration: Applications and Optimization - Lecture

Explore Engineered Swift Equilibration (ESE) applications in physics, including particle compression, first passage time optimization, and atomic force microscopy enhancements.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Anomalous Thermal Relaxation for Over-damped Langevin Dynamics

Explore anomalous thermal relaxation phenomena, focusing on the Mpemba effect in over-damped Langevin dynamics. Examine theoretical results and link to physical system properties.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Anomalous Dynamical Scaling Determines Universal Critical Singularities

Explore anomalous diffusion phenomena across scales, examining scaling functions and universal singularities in cumulant generators. Gain insights into biased cases and connections to phase transitions.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

On the Origin of Fat Tailed Distribution Functions in Driven Complex Systems

Explore the origin of fat-tailed distributions in driven complex systems through sample space reducing processes, offering insights into various statistical phenomena and their applications.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Packets of Diffusing Particles Exhibit Universal Exponential Tails

Explore universal exponential tails in diffusing particle packets, extending large deviation theory for continuous time random walks and uncovering general behaviors in transport phenomena.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Fluctuations in the Fourier Coefficient of Current in Periodically Driven Systems

Explore probability current fluctuations in periodically driven stochastic systems, focusing on Fourier component statistics and cumulant generating function analysis.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Generalized Density Profiles in Single-File Systems

Explore single-file transport and bath-tracer correlations in confined systems, focusing on the Symmetric Exclusion Process and its applications to non-equilibrium situations.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Large Deviations of Time-Integrated Quantities in Active and Passive Matter

Explore large deviations in particle movement models, analyzing entropy production and dynamical activity. Discover various phase transitions and their implications for rate function scaling.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Colloidal Particles in Non-Markovian Fluids Far from Equilibrium

Explore novel phenomena in colloidal particles within viscoelastic baths, including enhanced barrier hopping, non-reciprocal eigenmodes, and increased rotational diffusion of self-propelled particles.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Geometry of Nonequilibrium Reaction Networks

Explore geometric interpretations of nonequilibrium reaction networks, extending Hill-Schnakenberg theory to hypergraphs and analyzing cycles, cocycles, and stochastic models.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Entropy Production Fluctuations Encode Collective Behavior in Active Matter

Explore entropy production fluctuations in active matter systems, their connection to collective behavior, and methods to control dissipation and phase transitions.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

The Anomalous Transport of Tracers in Active Baths

Explore anomalous transport of tracers in active baths, focusing on long-time dynamics, ratchet effects, and unique friction properties in low-dimensional systems.

• YouTube
• 58 minutes
• Self-Paced
• Free Video