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Analysis

This paper addresses the challenge of accurate crystal structure prediction (CSP) at finite temperatures, particularly for systems with light atoms where quantum anharmonic effects are significant. It integrates machine-learned interatomic potentials (MLIPs) with the stochastic self-consistent harmonic approximation (SSCHA) to enable evolutionary CSP on the quantum anharmonic free-energy landscape. The study compares two MLIP approaches (active-learning and universal) using LaH10 as a test case, demonstrating the importance of including quantum anharmonicity for accurate stability rankings, especially at high temperatures. This work extends the applicability of CSP to systems where quantum nuclear motion and anharmonicity are dominant, which is a significant advancement.
Reference

Including quantum anharmonicity simplifies the free-energy landscape and is essential for correct stability rankings, that is especially important for high-temperature phases that could be missed in classical 0 K CSP.

Analysis

This paper presents a novel approach to improve the accuracy of classical density functional theory (cDFT) by incorporating machine learning. The authors use a physics-informed learning framework to augment cDFT with neural network corrections, trained against molecular dynamics data. This method preserves thermodynamic consistency while capturing missing correlations, leading to improved predictions of interfacial thermodynamics across scales. The significance lies in its potential to improve the accuracy of simulations and bridge the gap between molecular and continuum scales, which is a key challenge in computational science.
Reference

The resulting augmented excess free-energy functional quantitatively reproduces equilibrium density profiles, coexistence curves, and surface tensions across a broad temperature range, and accurately predicts contact angles and droplet shapes far beyond the training regime.

Five-Vertex Model and Discrete Log-Gas

Published:Dec 29, 2025 05:59
1 min read
ArXiv

Analysis

This paper investigates the five-vertex model, a problem in statistical mechanics, by reformulating it as a discrete log-gas. This approach allows the authors to analyze the model's free energy and resolvent, reproducing existing results and providing new insights. The work is a step towards understanding limit shape phenomena in the model.
Reference

The paper provides the explicit form of the resolvent in all possible regimes.

Research#Neuroscience📝 BlogAnalyzed: Dec 29, 2025 17:37

Karl Friston: Neuroscience and the Free Energy Principle

Published:May 28, 2020 12:42
1 min read
Lex Fridman Podcast

Analysis

This article summarizes a podcast episode featuring Karl Friston, a prominent neuroscientist known for his work on brain imaging and the free energy principle. The episode, part of the Artificial Intelligence podcast, delves into Friston's influential ideas, including his free energy principle for action and perception. The article provides links to the podcast, Friston's website, and his Wikipedia page. It also includes a detailed outline of the episode's topics, ranging from brain imaging and Neuralink to the meaning of life. The focus is on making complex scientific concepts accessible to a broader audience.
Reference

Karl Friston is one of the greatest neuroscientists in history, cited over 245,000 times, known for many influential ideas in brain imaging, neuroscience, and theoretical neurobiology, including the fascinating idea of the free-energy principle for action and perception.