Sandomirskiy, F., Tamuz, O. On the origin of the Boltzmann distribution. Math. Ann. 392, 5617–5638 (2025). https://doi.org/10.1007/s00208-025-03263-x

https://arxiv.org/abs/2307.11372

The family of Boltzmann distributions is used in statistical mechanics to describe the distribution of states in systems with a given temperature. We give a novel characterization of this family as the unique one satisfying independence for uncoupled systems. The theorem boils down to a statement about endomorphisms of the convolution semi-group of finitely supported probability measures on the natural numbers, or, alternatively, about endomorphisms of the multiplicative semi-group of polynomials with non-negative coefficients.

https://phys.org/news/2026-02-crazy-dice-proof-fundamental-law.html

#mathematics #statisticalMechanics

A story from Korawich Kavee on Medium
“whether watching John Doe drive to work justifies the massive computational overhead.“

Read “But What’s Wrong with Agent-Based Simulation?“ by Korawich Kavee on Medium: https://korawichmawinkavee.medium.com/but-whats-wrong-with-agent-based-simulation-a93d637bd38c
#simulation #cityplanning #UrbanPlanning #statisticalmechanics #AgentBasedModels #citiesskylines

Spheres in a Space with Trillions of Dimensions

https://elkement.art/2017/06/17/spheres-in-a-space-with-trillions-of-dimensions/

#StatisticalMechanics - not even once!

https://www.instagram.com/p/DNpAl2Qy17Q/?igsh=MTdtaTllaG1maDl4NA==

#danger #science_memes

Zoomposium with Prof. Dr. Arieh Ben-Naim: “Demystifying Entropy”

He believes that we need a new fundamental understanding of the phenomenon of entropy. Entropy, which originally stems from the second law of thermodynamics, has, in Arieh's view, been misused and incorrectly transferred as a concept to other areas of physics, biology, and everyday life.

More on this at:https://open.spotify.com/episode/6l0bnl0eU0CUqmAEo8DZf7?si=wJ2EEsQ6QK2HjZMTVGsJZw

or: https://philosophies.de/index.php/2024/02/22/entzauberung-der-entropie/

#Science #Philosophy #PhysicsAndItsLimits #ScienceAndPhilosophy #entropyzero2 #InformationTheory #SecondLawOfThermodynamics #LimitsOfPhysics #Entropy #SecondLaw #Irreversibility #StatisticalMechanics #Thermodynamics #ShannonInformation #Probability #Randomness #Time #ArrowOfTime #Metaphysics #LifeSystems #Evolution #Negentropy #AriehBenNaim #EntropyDemystified #PhysicsMyths

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

"Collective Motion of Humans in Mosh and Circle Pits at Heavy Metal Concerts", JL Silverberg, et al, 2013
https://sethna.lassp.cornell.edu/pubPDF/MoshPits.pdf

#Metal #Hardcore #Punk #StatisticalMechanics (lol)