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8 June 2026
Entropy | Highly Cited Papers from 2025

To keep you abreast of advancements in the development and application of entropic and information-theoretic studies, Entropy (ISSN: 1099-4300) is pleased to present our selection of highly cited papers that were published in 2025.

This curated selection covers a range of topics, including thermodynamics of generative and chemical systems, measurement-induced quantum phenomena, information-theoretic communications, and entropy tools in neuroscience and chemistry, among others.

We hope that you find inspiration in these cutting-edge studies.

1. “The Statistical Thermodynamics of Generative Diffusion Models: Phase Transitions, Symmetry Breaking, and Critical Instability”
by Luca Ambrogioni
Entropy 2025, 27(3), 291; https://doi.org/10.3390/e27030291
Available online: https://www.mdpi.com/1099-4300/27/3/291

2. “Maximizing Free Energy Gain”
by Artemy Kolchinsky, Iman Marvian, Can Gokler, Zi-Wen Liu, Peter Shor, Oles Shtanko, Kevin Thompson, David Wolpert and Seth Lloyd
Entropy 2025, 27(1), 91; https://doi.org/10.3390/e27010091
Available online: https://www.mdpi.com/1099-4300/27/1/91

3. “Thermodynamics of Intrinsic Reaction Coordinate (IRC) Chemical Reaction Pathways”
by Frank Weinhold
Entropy 2025, 27(4), 390; https://doi.org/10.3390/e27040390
Available online: https://www.mdpi.com/1099-4300/27/4/390

4. “Measurement-Induced Symmetry Restoration and Quantum Mpemba Effect”
by Giuseppe Di Giulio, Xhek Turkeshi and Sara Murciano
Entropy 2025, 27(4), 407; https://doi.org/10.3390/e27040407
Available online: https://www.mdpi.com/1099-4300/27/4/407

5. “The Geometry of Concepts: Sparse Autoencoder Feature Structure”
by Yuxiao Li, Eric J. Michaud, David D. Baek, Joshua Engels, Xiaoqing Sun and Max Tegmark
Entropy 2025, 27(4), 344; https://doi.org/10.3390/e27040344
Available online: https://www.mdpi.com/1099-4300/27/4/344

6. “As One and Many: Relating Individual and Emergent Group-Level Generative Models in Active Inference”
by Peter Thestrup Waade, Christoffer Lundbak Olesen, Jonathan Ehrenreich Laursen, Samuel William Nehrer, Conor Heins, Karl Friston and Christoph Mathys
Entropy 2025, 27(2), 143; https://doi.org/10.3390/e27020143
Available online: https://www.mdpi.com/1099-4300/27/2/143

7. “A Survey on Semantic Communications in Internet of Vehicles”
by Sha Ye, Qiong Wu, Pingyi Fan and Qiang Fan
Entropy 2025, 27(4), 445; https://doi.org/10.3390/e27040445
Available online: https://www.mdpi.com/1099-4300/27/4/445

8. “Rate–Distortion–Perception Trade-Off in Information Theory, Generative Models, and Intelligent Communications”
by Xueyan Niu, Bo Bai, Nian Guo, Weixi Zhang and Wei Han
Entropy 2025, 27(4), 373; https://doi.org/10.3390/e27040373
Available online: https://www.mdpi.com/1099-4300/27/4/373

9. “Sensing-Assisted Secure Communications over Correlated Rayleigh Fading Channels”
by Martin Mittelbach, Rafael F. Schaefer, Matthieu Bloch, Aylin Yener and Onur Günlü
Entropy 2025, 27(3), 225; https://doi.org/10.3390/e27030225
Available online: https://www.mdpi.com/1099-4300/27/3/225

10. “Perceptual Complexity as Normalized Shannon Entropy”
by Norberto M. Grzywacz
Entropy 2025, 27(2), 166; https://doi.org/10.3390/e27020166
Available online: https://www.mdpi.com/1099-4300/27/2/166

11. “Entropy and Complexity Tools Across Scales in Neuroscience: A Review”
by Rodrigo Cofré and Alain Destexhe
Entropy 2025, 27(2), 115; https://doi.org/10.3390/e27020115
Available online: https://www.mdpi.com/1099-4300/27/2/115

12. “Information Theory Meets Quantum Chemistry: A Review and Perspective”
by Yilin Zhao, Dongbo Zhao, Chunying Rong, Shubin Liu and Paul W. Ayers
Entropy 2025, 27(6), 644; https://doi.org/10.3390/e27060644
Available online: https://www.mdpi.com/1099-4300/27/6/644

We would like to take this opportunity to thank all the research groups that submitted these exceptional papers for their contributions to Entropy. We would greatly appreciate it if you could circulate this document among your colleagues or through your network.

If you would like to learn more about the contributions published in Entropy, please click on the following link: https://www.mdpi.com/journal/entropy.

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