Phase transition revealed by eigen microstate entropy
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918265210535936 |
|---|---|
| author | Liu, Teng Niu, Xuezhi Zhang, Mingli Hu, Gaoke Chen, Yuhan Zhang, Yongwen Shi, Rui Li, Jingyuan Tan, Peng Liu, Maoxin Li, Hui Chen, Xiaosong |
| author_facet | Liu, Teng Niu, Xuezhi Zhang, Mingli Hu, Gaoke Chen, Yuhan Zhang, Yongwen Shi, Rui Li, Jingyuan Tan, Peng Liu, Maoxin Li, Hui Chen, Xiaosong |
| contents | We introduce the eigen microstate entropy ($S_{\text{EM}}$), a novel metric of complexity derived from the probabilities of statistically independent eigen microstates. After establishing its scaling behavior in equilibrium systems and demonstrating its utility in critical phenomena (mean spherical, Ising, and Potts models), we apply $S_{\text{EM}}$ to non-equilibrium complex systems. Our analysis reveals a consistent precursor signal: a significant increase in $S_{\text{EM}}$ precedes major phase transitions. Specifically, we observe this entropy rise before biomolecular condensate formation in liquid-liquid phase separation in living cells and months ahead of El Niño events. These findings position $S_{\text{EM}}$ as a general framework for detecting and interpreting phase transitions in non-equilibrium systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23086 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase transition revealed by eigen microstate entropy Liu, Teng Niu, Xuezhi Zhang, Mingli Hu, Gaoke Chen, Yuhan Zhang, Yongwen Shi, Rui Li, Jingyuan Tan, Peng Liu, Maoxin Li, Hui Chen, Xiaosong Statistical Mechanics Adaptation and Self-Organizing Systems We introduce the eigen microstate entropy ($S_{\text{EM}}$), a novel metric of complexity derived from the probabilities of statistically independent eigen microstates. After establishing its scaling behavior in equilibrium systems and demonstrating its utility in critical phenomena (mean spherical, Ising, and Potts models), we apply $S_{\text{EM}}$ to non-equilibrium complex systems. Our analysis reveals a consistent precursor signal: a significant increase in $S_{\text{EM}}$ precedes major phase transitions. Specifically, we observe this entropy rise before biomolecular condensate formation in liquid-liquid phase separation in living cells and months ahead of El Niño events. These findings position $S_{\text{EM}}$ as a general framework for detecting and interpreting phase transitions in non-equilibrium systems. |
| title | Phase transition revealed by eigen microstate entropy |
| topic | Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2512.23086 |