This week, let’s spotlight an excellent foundational Nordita lecture series by Dr. Ivan Khaymovich, available in #OpenAccess on Enabla. This advanced Master-level course offers a modern introduction to the principles of thermalization, ergodicity, and their breakdown in both classical and quantum systems. It's a timely and valuable resource for students and researchers working on nonequilibrium dynamics, chaos, information thermodynamics, and localization phenomena.

💡 Even better: Ivan is on Enabla and happy to help clarify any questions you may have about the lectures. Don’t miss this unique opportunity to deepen your understanding of one of the most active frontiers in theoretical physics; watch and discuss the course with its author and others at https://enabla.com/set/182

📘 Key topics include:

🔹 Classical systems:
• Nonequilibrium and stochastic thermodynamics
• Jarzynski equality and Crooks relation
• Entropy production and the arrow of time
• Thermodynamics on trajectories and Maxwell's Demon
• Feedback and mutual information in thermodynamics
• Classical chaos and ergodicity

🔹 Quantum systems:
• Quantum chaos and thermalization
• Ergodicity measures and the Eigenstate Thermalization Hypothesis (ETH)
• Random-matrix theory and eigenlevel statistics
• Anderson and many-body localization (MBL)
• Multifractality and ergodicity breaking beyond MBL

#Ergodicity #Thermodynamics #QuantumChaos #Thermalization #StatisticalMechanics #ManyBodyPhysics #InformationThermodynamics

New course by Prof. Ivan Khaymovich! 🎓 This advanced Master-level course, running for the next 3 months, offers a deep exploration of the fundamental topics in both classical and quantum thermodynamics. Engage in discussions and get your questions answered directly by Prof. Khaymovich.

🔗 Enroll here for free: https://enabla.com/set/182

By University of Iceland (Háskóli Íslands) and Nordita: https://ugla.hi.is/kennsluskra/index.php?tab=nam&chapter=namskeid&id=71201120246

Main aspects of the course include:

1. In the classical part:
- Introduction to the nonequilibrium and stochastic thermodynamics,
- Generalization of the 2nd law of thermodynamics and fluctuation-dissipation theorem: Jarzynski equality and Crook relation,
- Fluctuation relations for the entropy production,
- Arrow of time and thermodynamic quantities on trajectories,
- Relations between Hamilton dynamics and thermodynamics
- Feedback-controlled systems - Maxwell's Demon paradox,
- Mutual information: role of measurements and information in thermodynamics,
- Basics of classical chaos and ergodicity

2. In the quantum part:
- Quantum thermalization and basics of quantum chaos of isolated quantum systems,
- Relations between
- Ergodicity measures and probes
- Equipartition over degrees of freedom,
- Eigen-Level repulsion,
- Random-matrix description,
- Eigenstate thermalization hypothesis,
- Mechanisms of ergodicity breaking,
- Disorder effects on thermalization: basics of Anderson and many-body localization,
- Ergodicity breaking beyond localization: multifractality and its relation to many-body localization.
- Universal statistical description of the above phenomena within the Random-matrix paradigm

#Physics #QuantumMechanics #Ergodicity #Thermodynamics #OpenScience

Hunter, Fisher, & Geier (2024) What ergodicity means for you.

Highlights

• Ergodic processes give the same results for within-person and between-person designs.
• Non-ergodic processes give arbitrarily distinct results regardless of sample size.
• Most processes in developmental cognitive neuroscience are unlikely to be ergodic.
• Longitudinal, spatial, and temporal aggregation mask individual processes.

https://www.sciencedirect.com/science/article/pii/S1878929324000677?via%3Dihub

#ergodicity

@economics-that-works #economics #ergodicity

Another economics discussion on Gelmans blog today, asking questions about how people in the future will be doing relative to their parents today. I had strong opinions and got called out for "cherry picking" my preferred CPI measure. In this post I point out how we have a major problem comparing broad averages. 🧵 https://statmodeling.stat.columbia.edu/2024/05/15/the-income-of-the-average-american-will-double-approximately-every-39-years-who-says-that-sort-of-thing-show-some-respect-for-uncertainty-dude/#comment-2372317

#ergodicity
#SteveKeen

Can't win em all, man.

Economists don’t really get ergodicity. They put their bets on a Mars colony over Earth to save mankind.

New paper in Collabra!

With Craig Speelman, Laura Parker, and Benjamin Rapley.

We looked at prevalence of uncritically reported aggregate statistics in 3 Q1 psychology journals in 2020.

TLDR: There's lots, but also possibly some variation between journals.

A pleasure to deal with Collabra:Psychology

#OpenScience #ergodicity #ErgodicFallacy

Most Psychological Researchers Assume Their Samples Are Ergodic: Evidence From a Year of Articles in Three Major Journals

https://online.ucpress.edu/collabra/article/10/1/92888/200006/Most-Psychological-Researchers-Assume-Their

https://www.youtube.com/watch?v=V7j4eO4Kbls

#economics #ergodicity #mathematics #politics #video #YouTube

This made for some interesting lunch time reading. Another example of what to my mind are the devastating, and unavoidable, implications of #ergodicity (or lack thereof) for a huge amount of #psychological #research

Hunter, M. D., Fisher, Z., & Geier, C. F. (2023, September 19). What Ergodicity Means for You. https://doi.org/10.31234/osf.io/25qsu

The logical barrier between between-participants work and within-participants conclusions is absolute. We really need to change how we do things.